# Tag: probability distribution

#### Solved:Items are packed into boxes of 1000, and each item has a probability of 0.001 of having some type of fault

a. Items are packed into boxes of 1000, and each item has a probability of 0.001 of having some type of fault. What is the probability that a box will…

#### Solved:The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter

The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter $\lambda = 50$. What is the approximate probability that a.…

#### Solved:Imagine you are in a game show. There are 4 prizes hidden on a game board with 10 spaces. One prize is worth

Imagine you are in a game show. There are 4 prizes hidden on a game board with 10 spaces. One prize is worth \$100, another is worth \$50, and two…

#### Solved:A certain type of light bulb has lifetimes that follows an exponential distribution with mean 1000 hours

A certain type of light bulb has lifetimes that follows an exponential distribution with mean 1000 hours. Find the median lifetime, i.e. the lifetime x such that 50% of the…

#### Solved:The probability that you will win a game is 0.45. (a) If you play the game 80 times, what is the most likely number of wins

The probability that you will win a game is 0.45. (a) If you play the game 80 times, what is the most likely number of wins? (b) What are the…

#### Solved:It is often assumed that the auto traffic that arrives at the intersection during a unit time period has a Poisson distribution with expected value

It is often assumed that the auto traffic that arrives at the intersection during a unit time period has a Poisson distribution with expected value $m$. Assume that the number…