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The probability that junkmail will arrive in a certain inbox any given day is gi

ID: 3225825 • Letter: T

Question

The probability that junkmail will arrive in a certain inbox any given day is given by 0.43. The inbox is checked on a sample of 11 days. What is the probability that on more than three of the days, junkmail has arrived in the inbox? Write only a number as your answer. Round to 2 decimal places (for example 0.24). Do not write as a percentage. Individuals who have a certain gene have a 0.61 probability of contracting a certain disease. Suppose that 1, 711 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).

Explanation / Answer

P( arrives on a certain day) = .43

n = 11

P(X>3)

= 11C3(.43^3)(.57^8)+...+11C11(.43^11)(.57^0)

= 0.77

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