# Question: Twenty percent of the cars passing through a school zone

Twenty percent of the cars passing through a school zone are exceeding the speed limit by more than 10 mph.

a. Using the Poisson formula, find the probability that in a random sample of 100 cars passing through this school zone, exactly 25 will exceed the speed limit by more than 10 mph.

b. Using the Poisson probabilities table, find the probability that the number of cars exceeding the speed limit by more than 10 mph in a random sample of 100 cars passing through this school zone is

i. At most 8

ii. 15 to 20

iii. At least 30

a. Using the Poisson formula, find the probability that in a random sample of 100 cars passing through this school zone, exactly 25 will exceed the speed limit by more than 10 mph.

b. Using the Poisson probabilities table, find the probability that the number of cars exceeding the speed limit by more than 10 mph in a random sample of 100 cars passing through this school zone is

i. At most 8

ii. 15 to 20

iii. At least 30

## Answer to relevant Questions

Let x be the number of cars that a randomly selected auto mechanic repairs on a given day. The following table lists the probability distribution of x. Find the mean and standard deviation of x. Give a brief interpretation ...Spoke Weaving Corporation has eight weaving machines of the same kind and of the same age. The probability is .04 that any weaving machine will break down at any time. Find the probability that at any given time a. All eight ...Multiple choice questions: 3. For the probability distribution of a discrete random variable, the probability of any single value of x is always a. in the range 0 to 1 b. 1.0 c. less than zero 4. For the probability ...State the four conditions of a binomial experiment. Give one example of such an experiment. For the standard normal distribution, find the area within 1.5 standard deviations of the mean—that is, the area between μ – 1.5σ and μ + 1.5σPost your question