Answer:
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
Step-by-step explanation:
To solve this question, we need to know the Poisson and the normal distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]
1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.
There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:
[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]
And
[tex]\sigma = \sqrt{600}[/tex]
What is the probability that not more than 650 parents will attend the graduation ceremony?
Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]
[tex]Z = 2.06[/tex]
[tex]Z = 2.06[/tex] has a pvalue of 0.9803.
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
Suppose that in a certain country, 10% of the elderly people have diabetes (call this Event D). It is also known that 30% of the elderly people are living below poverty level (call this Event P), 35% of the elderly population falls into at least one of these categories, and 5% of the elderly population falls into both of these categories. If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes
Answer:
0.1667 = 16.67% probability that she/he has diabetes
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Living below the poverty level.
Event B: Having diabetes.
30% of the elderly people are living below poverty level.
This means that [tex]P(A) = 0.3[/tex]
5% of the elderly population falls into both of these categories.
This means that [tex]P(A \cap B) = 0.05[/tex]
If a randomly selected elderly person is living below the poverty level, what is the probability that she/he has diabetes
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.3} = 0.1667[/tex]
0.1667 = 16.67% probability that she/he has diabetes
amelia spent $5.25 for a drink and a sandwich or drink cost $1.35 did she have a turkey sandwhich for $4.22 a tuna sandwich for $3.92 or ham sandwich for $3.46 use the equation S +1.35=5.27 to justify your answer
Answer:
$3.46 or $3.92
Step-by-step explanation:
it has to be $3.46 because you have to remember that tax is included and it could cost more than what you are paying for the sandwich or drink. but the other possible answer is $3.92 if you're not paying any tax.
Dollhouse furnishing comes in different sizes depending on the size of the dollhouse. Write a ratio of the size of the dollhouse item to the size of the larger item.
dollhouse sofa: 112 in. long
real sofa: 6 ft long
Answer:
20ft
Step-by-step explanation:
The ratio of the size of the dollhouse item to the doll house is 14 : 9.
What are ratios?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
What are the ratios of the dollhouse item to the doll house ?First convert feet to inches
1 feet = 12 inches
12 x 6 = 72 inches
dollhouse item : doll house
112 : 72
14 : 9
To learn more about ratios, please check: https://brainly.com/question/25927869
Bill invests $3000 in a bound fund with an interest rate of 9% per year. If bill does not withdraw any money, in how many years will his bond fund be worth $5000?
Answer:
around 5.93 years
Step-by-step explanation:
A=P(1 + r/n)^n(t)
5000=3000(1 + .09/1)^1(t)
15x-7=13x+3
(please help)
Answer:
the answer is x=5
Hope this helps :)
Connie has to solve the following problem.
5 boxes of cereal costs $12.50. How much will 18 boxes cost.
Choose EVERY proportion Connie could use to solve this problem.
- 12.5/5 = 18/x
- 5/12.5 = 18/x
- 5/12.5 = x/18
- 5/18 =12.50/x
Answer: A
Step-by-step explanation:
Because to find if proportional you need to divide
a baker bought 12 pounds of flour.He used 5/6 of the flour how many pounds are left
Answer:
2 pounds are left.
Step-by-step explanation:
12 pounds divided into 6 parts (or sixths) = 2 pounds each. 5 of those 6ths were used, so 10 pounds used. 2 pounds are left.
Alternately, multiply 12 x 5 for your numerator = 60, divide by 5, your denominator, and get 10 pounds used.
The radius of the circle is 2.5 cm. - Find the circumference of the circle. Round your answer to the nearest centimeter
2.5 cm
8 cm
O 16 cm
O 79 cm
O 157 cm
Answer:
I would say A but i am not sure i did not take the test
Step-by-step explanation:
Which quadrilateral always has four sides of the same length?
isosceles trapezoid
parallelogram
square
rhombus
It’s multi choice
Answer:
square,rhombus,parallelogram, and i think thats it
Step-by-step explanation:
The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.
Answer:
(2y−3)(y+1) hope this helps!
Simplify each expression by combining like terms:
9m-7m+13
Please explain if you can
PLEASE ANSWER QUESTION
Answer:
1.) y=-2x+4
2.) y=1x-1
Step-by-step explanation yw
Which of the following equations is equivalent to 3/4a-6=1/4
Answer:
x=25 over 3
Step-by-step explanation:
3÷4a-6=1÷4 convert to
3
_x-6= 0.25
4
3x-24=1
3x=24+1
3x=25
divide both sides by 3 and you'll get:
25
----
3
Answer:
Im pretty sure its 3a - 6 = 1 if not try again and its going to be 3a - 24 =24 sorry if its wrong:)
Step-by-step explanation:
I did not mean to put not helpful
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
15 +5x +24 +8x
39 + 13x is answer
Whoever answers first will get marked Best!A cheetah runs 177 miles in 3 hours,at this rate how many hours will it take to travel 531 miles?
Answer:
9 hours
Step-by-step explanation:
brainliest plss???
can you please help me with this question?
Answer:
I have made it in above picture
hope it helps
Use long division to find the value of 1875 ÷ 15 THIS IS A DIVISON PROBLEM SINCE THE OTHER ONE I WROTE A MULTIPLICATION PROBLEM
The division is given below.
The quotient is 125 and the remainder is 0.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1875 ÷ 15
This can be written as,
15 ) 1875 ( 125
15
37
30
75
75
0
Thus,
The quotient is 125 and the remainder is 0.
Learn more about expressions here:
https://brainly.com/question/3118662
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In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for the
company's employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions for
inference met, a hypothesis test conducted at the significance level a = 0.05 resulted in a p-value of 0.381
Which of the following is an appropriate conclusion?
Answer:
Answer.The director does not have convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes.
Because the p value is very high and higher than level of significance ,so we fail to reject null hypothesis.
Question: Write a word problem that involves terms and coefficients. Discuss how you would go about solving this problem.
Answer:
Mk. So I think you should only copy the part that is in bold.
Terms are something that is being added together. Factor is something that is being multiplied together. A coefficient is a number that is being multiplied by the variable. The 2x, 6x, and 14 are terms because they are being added together.
HELP SOON! Please!!!!
How does an outlier affect the mean of a population? The median? The range?
How can we adjust for the effects of outliers?
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Upper H Subscript 0 Baseline colon mu equals 175 millimeters versus Upper H Subscript 1 Baseline colon mu greater-than 175 millimeters, using the results of n equals 4 samples. Calculate the P-value if the observed statistic is
Answer:
The p-value of the observed statistic is 0.15866
Step-by-step explanation:
The given parameters of the system are;
The standard deviation of the foam height, σ = 20 mm
The null hypothesis, H₀; μ = 175 mm
The alternative hypothesis, Hₐ; μ > 175 mm
The number of observations that make the sample, n = 4
The observed statistic, [tex]\overline x[/tex] = 185
The test statistic is given as follows;
[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{185-175 }{\dfrac{20}{\sqrt{4}}} = 1[/tex]
P(Z > 1) = 1 - P(Z < 1) = 1 - 0.84134 = 0.15866
The p-value of the observed statistic = 0.15866
Rewrite the expression using the fewest terms possible n ( 3 + 2) + 3n
An angle with a measurement of 90 degrees is called?
Answer:
A right angle
Step-by-step explanation:
Answer:
Right angle. Its angle is in the corner and measured 90 degrees.
Step-by-step explanation:
Write an equation to represent the hanger.
Explain how to reason to find the value of x.
Answer:
a big pastry stuffed with cheese
Step-by-step explanation:
Answer:
2x = 1
Step-by-step explanation:
Three friends played a target game at a carnival.
•Elsie hit the target 5 out of every 8 times.
•Anjani hit the target 60% of time.
•Derek hit the target 5/6 of the time.
Which list shows the friends in order from the person who hit the target the least percent of the time to the person who hit the target the greatest percent of the time?
Answer:
Step-by-step explanation:
It’s B trust me
is a 4(2x-3)<8(x+1) always ,sometime,or never true?
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
8
x
−
12
<
8
x
+
8
Step 2: Subtract 8x from both sides.
8
x
−
12
−
8
x
<
8
x
+
8
−
8
x
−
12
<
8
Step 3: Add 12 to both sides.
−
12
+
12
<
8
+
12
0
<
20
X squared over 5 gives you what?
Answer:(x^(2))/(5)
Step-by-step explanation
y=24-4x function table
Answer:
here
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can y’all solve this please
Answer:
it = my but lol
Step-by-step explanation:
lol sorry just trying to get points
Five less than the product of -2 and a number is -13
Answer:
-2 -5 + 13 = x
Step-by-step explanation:
x would be the product
and i dont know if i got this correct o.O
I tried is all imma say