It has been determined that only 80 of the people wear seat

It has been determined that only 80% of the people wear seat belts. If a police officer stops a car with four people, what is the probability that at least one person will not be wearing a seat belt?

Include the formula that you used in Excel and the values that you entered to find your answer.^* Example Answer: 0.2424    =BINOM.DIST(6, 10, 0.64, FALSE)

Solution

p(seatbelt) = 0.8

p(no seatbelt) = 0.2

P(atleast one no seatbelt) = 1 -P(all seatbelt)

n = 4 , p = 0.8 , Successes, x = 0

P(none seatbelt) = 4C0 * (0.2)^0 * (0.8)^4

= 1 * 1 * 0.0.4096

= 0.4096 ---> ANSWER