Probability Uniform

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive.

Which option shows the probability density function?

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive.

Which option shows the notation of the distribution?

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive.

What is the probability that a person waits fewer than 12.5 minutes?

(write your answer to 4 decimal places)

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive.

On average, how long must a person wait? (Find the mean)

(leave out the units in your answer)

Suppose the time it takes a nine-year-old to eat a doughnut is between 0.5 and 4 minutes, inclusive. Let X = the time, in minutes, it takes a nine-year-old child to eat a doughnut, find the probability that a randomly selected nine-year-old child eats a doughnut in at least two minutes. give your answer to 3 decimal places.

Suppose the time it takes a nine-year-old to eat a doughnut is between 0.5 and 4 minutes, inclusive. Let X = the time, in minutes, it takes a nine-year-old child to eat a doughnut, Find the probability that a different nine-year-old child eats a doughnut in more than two minutes given that the child has already been eating the doughnut for more than 1.5 minutes.

Suppose that the value of stock varies each day from $16 to $25 with a uniform distribution. Find the probability that the value of the stock is more than $19.

give your answer to 3 decimal places.

Suppose that the value of stock varies each day from $16 to $25 with a uniform distribution. Find the probability that the value of the stock is between $19 and $22.

give your answer to 3 decimal places.

Suppose that the value of stock varies each day from $16 to $25 with a uniform distribution. Given that the stock is greater than $18, find the probability that the stock is more than $21.

give your answer to 3 decimal places.

The number of miles driven by a truck driver falls between 300 and 700 and follows a uniform distribution.

Find the probability that the truck driver goes more than 650 miles in a day.

(give your answer to 3 decimal places)