A distributor receives a large shipment of components. Thedistributor would like to accept the shipment if 10% or fewer ofthe components are defective and to return it if more than 10% ofthe components are defective. She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is defective.

a. If the proportion of defectives inthe batch is in fact 10%, what is the probability thatshe will return the shipment?

b. If the proportion ofdefectives in the batch is 20%, what is the probability that she will return the shipment?

a. 0.2639 or 26.39%

b. 0.6242 or 62.42%

Step-by-step explanation:

This problem can be treated as a binomial model with probability of success p = proportion of defectives in the batch.

Number of trials (n) = 10.

For any number of successes 'k', the probability is:

a. If p =0.10, what is P(x >1):

The probability is 0.2639 or 26.39%.

b. If p =0.20, what is P(x >1):

The probability is 0.6242 or 62.42%.

ok

step-by-step explanation:

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step-by-step explanation: