Q:11 Thanks! The probability of a randomly selected car crashing during a year i
ID: 3294072 • Letter: Q
Question
Q:11 Thanks!
The probability of a randomly selected car crashing during a year in a certain country is 0.0488. If a family has three cars, find the probability that at least one of them has a car crash during a year. Is there any reason why the probability might be wrong? The probability that at least one of them has a crash during the year is Is there a reason why the probability might be wrong? A. Yes, one outcome has an effect on later trials B. No, one outcome does not have an effect on later trials. C. Yes, the three cars are not randomly selected. D. No, the three cars are representative of all cars in the country.Explanation / Answer
Given probability of a randomly selected car crashing during a year in certain country is 0.0488
p=0.0488
n=3
X follows binomial distribution with parameters n=3 and p=0.0488
P(x) = nCx*px*qn-x
probability that atleast one of 3 cars crash during a year = P(X=1)+P(X=2)+P(X=3)
= 3C1*(0.0488)1*(0.9512)2+3C2*(0.0488)2*(0.9512)1+3C3*(0.0488)3*(0.9512)0
=0.1325+0.0068+0.0001
p=0.1394
B) No, one outcome does not have an effet on later trails
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.