Consider the probability that less than 14 out of 157 people have been in a car...

Consider the probability that less than 14 out of 157 people have been in a car accident. Assume the probability that a given person has been in a car accident is 11%.

Expert Solution

We have here, n = 157 and p = 0.11

Therefore, we need to use here,

Normal Approximation for the Binomial Distribution

P[X<14]

=P[X<13.5]..........................by using continuity correction.

=P[Z<-0.9615]

=0.1682..........................by using Z table or by using Excel command =NORMSDIST(-0.9615)

Therefore, the probability that less than 14 out of 157 people have been in a car accident = 0.1682

orchestra answered 2 years ago

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