Probability that special warning will issued during a month

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Reference no: EM131426129

Public Policy and Political Science

Approximately 100 children's products are recalled every year.12 In particular, children's clothing is recalled for a variety of reasons, for example, drawstrings that are too long and pose a hazard, small buttons that may break off and cause choking, and material that fails to meet federal flammability standards. Suppose the number of recalls of children's clothing during a given month is a random variable with probability distribution given in the table below

X	0	1	2	3	4	5	6
P(x)	0.005	0.185	0.275	0.305	0.200	0.020	0.010

a. Find the mean, variance, and standard deviation of the number of recalls of children's clothing during a given month.

b. Suppose the number of recalls in a given month is at least three. What is the probability that the number of recalls that month will be at least five?

c. If the number of recalls in a given month is above more than one standard deviation from the mean, the federal government issues a special warning directed toward parents. What is the probability that a special warning will be issued during a given month?

Reference no: EM131426129

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