Question

A factory tests a random sample of 19 transistors for defects. the probability that a particular transistor will be defective has been established by past experience as 0.07. what is the probability that there are no defective transistors in the​ sample?

Answer 1

There is a 0.93 probability that a given transistor is not defective. So the probability of there being 0 defective transistors in 19 is

`\dbinom{19}00.93^(19)0.07^0=0.93^(19)\approx0.2519`