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Question 7 (1.2 points) In an elementary school, 29 % of children wear glasses.

ID: 3314468 • Letter: Q

Question

Question 7 (1.2 points) In an elementary school, 29 % of children wear glasses. Suppose that a random sample of 51 children is selected. Find the mean number of children in the sample who wear glasses. Round your answer to the nearest integer Your Answer: Answer Save Question 8 (1 point) Individuals who have a certain gene have a 0.61 probability of contracting a certain disease. Suppose that 952 individuals with the gene participate in a lifetime study. What is the standard deviation of the number of people who eventually contract the disease? Write only a number as your answer. Round to 2 decimal places (for example 1.56). Your Answer:

Explanation / Answer

7)

X ~ Binomial(51,0.29)

Where n = 51 , p = 0.29

Mean = np = 51 * 0.29 = 14.79

mean = 15 (Rounded to nearest integer)

8)

X ~ Binomial(952,0.61)

Where n = 952, p = 0.61

Standard deviation = Sqrt( n * p(1-p))

= Sqrt( 952 * 0.61 * 0.39)

= 15.05

Standard deviation = 15.05

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