Statistics

1) A Motor Company has purchased steel parts from a supplier for several years and has found that 10% of the parts must be returned because they are defective. An order of 25 parts is received. What are the mean and standard deviation of the defective parts?
A) Mean = 3.5; standard deviation = 2.5
B) Mean = 2.5; standard deviation = 1.5
C) Mean = 1.5; standard deviation = 2.5
D) Mean = 2.5; standard deviation = 3.5


2)Given a binomial random variable with n = 15 and = 0.4, find the following probability using the binomial table. P (6 < x < 10)

A) 0.0338
B) 0.1181
C) 0.0947
D) 0.3564

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  1. For 1).
    Your values are the following:
    p = .1, q = 1 - p = .9, and n = 25

    To find mean and standard deviation:
    mean = np = (25)(.1) = ?
    standard deviation = √npq = √(25)(.1)(.9)= ?

    I'll let you finish the calculations to answer the question.

    For 2).
    Use the binomial table to determine your answer for the values given.

    I hope this will help get you started.

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