# Tag: Poisson distribution

#### Solved (Free): The potholes on a major Chicago highway occur at an average rate of 3.4 per mile. Suppose one mile of highway is randomly selected

The potholes on a major Chicago highway occur at an average rate of 3.4 per mile. Suppose one mile of highway is randomly selected. (a) What is the probability of…

#### Solved (Free): A company produces optical-fiber cable with a mean of 0.7 flaws per 100 feet. What is the probability that there will be exactly 3 flaws

A company produces optical-fiber cable with a mean of 0.7 flaws per 100 feet. What is the probability that there will be exactly 3 flaws in 1100 feet of cable?…

#### Solved (Free): A well-mixed cookie dough will produce cookies with a mean of 8 chocolate chips apiece. What is the probability of getting a cookie

A well-mixed cookie dough will produce cookies with a mean of 8 chocolate chips apiece. What is the probability of getting a cookie with at least 4 chips? Solution Let…

#### Solved (Free): The computer that controls a bank’s automatic teller machine crashes a mean of 0.4 times per day. What is the probability that

The computer that controls a bank's automatic teller machine crashes a mean of 0.4 times per day. What is the probability that, in any seven-day week, the computer will crash…

#### Solved (Free): Suppose small aircraft arrive at a certain airport at a rate of twelve per hour and that the random variable

Suppose small aircraft arrive at a certain airport at a rate of twelve per hour and that the random variable $X$ representing the number of arrivals is a Poisson random…

#### Suppose that the expected number of deaths due to bladder cancer for all workers at a tire plant on January 1, 1964, over the next 20 years

Suppose that the expected number of deaths due to bladder cancer for all workers at a tire plant on January 1, 1964, over the next 20 years (1/1/64-12/31/83) based on…

#### Solved (Free): In a major league baseball game, the average is 0.9 broken bat per game

In a major league baseball game, the average is 0.9 broken bat per game. (a) Find the probability of no broken bats in a game. (Round your answer to 4…

#### Solved (Free): An old bus breaks down an average of 3 times per month. Using the Poisson probability distribution formula

An old bus breaks down an average of 3 times per month. Using the Poisson probability distribution formula, find the probability that during the next month this bus will have…

#### Solved (Free): In Baltimore City, the average number of deaths due to breast cancer reported each month is 7.7

In Baltimore City, the average number of deaths due to breast cancer reported each month is 7.7. Assume that the number of breast cancer deaths follows a Poisson distribution. (1)…

#### Solved (Free): The number of fire engine call-outs each day from a station in a city follows a Poisson distribution with a mean of 1.5

The number of fire engine call-outs each day from a station in a city follows a Poisson distribution with a mean of 1.5. If there are more than 4 call-outs…