A battery manufacturer makes batteries that have a failure rate of. 015. That is, 15 out of each 1,000 batteries are defective. What is the probability that 175 out of the 10000 will be defective

Question

Mathematics

Warren

17 August, 08:49

A battery manufacturer makes batteries that have a failure rate of. 015. That is, 15 out of each 1,000 batteries are defective. What is the probability that 175 out of the 10000 will be defective

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Kinley Rhodes · Answer 1

P (failure) = 0.015

p (success) = 1 - 0.015 = 0.985

let x be the random variable that a battery is deffective, then

p (x = 175) = 10000C175 * (0.015) ^175 * (0.985) ^ (10000 - 175)

= 0.00408