# Binomial random variable for large department chain

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1.Suppose that 10 percent of all the new steel-belted radial tires shipped to a large department chain store are defective. Find the probability that in a shipment of 30 such tires:

a. At most two are defective.

b. At least two are defective.

2.Surveys show that 40% of all convenience store shoppers buy milk and 30% buy bread. If 25% buy both bread and milk, what percentage buys neither?

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Step by step method for computing probability for binomial random variable is given in the answer.

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Probability- Statistics

1. Suppose that 10 percent of all the new steel-belted radial tires shipped to a large department chain store are defective. Find the probability that in a shipment of 30 such tires:

Answers

Let X be the number of defective steel-belted radial tires shipped to the large department chain. Clearly X is binomial with n = 30 and p = 0.10. The probability mass function binomial variable is given by .The probability for different values of x are given below.

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