I really need help with E-L

Step by step please

The time (in minutes) until the next bus departs a major bus depot follows a distribution withf(x) =1

20

wherexgoes from 25 to45 minutes.

• Part (a)
• Define the random variableX.
• time, in minutes, until the next bus departs a major bus depot
• time, in hours, until the next bus departs a major bus depot
• the number of buses that depart a major bus depot
• the number of people who ride the bus
• Part (b)
• Give the distribution ofX. (Enter exact numbers as integers, fractions, or decimals.)
• Part (c)
• Graph the probability distribution.
• Part (d)
• The distribution is
• ---Select---
• uniform
• exponential
• . It is
• ---Select---
• continuous
• discrete
• .
• Part (e)
• Enter an exact number as an integer, fraction, or decimal.
• =
• Part (f)
• Round your answer to two decimal places.
• =
• Part (g)
• Find the probability that the time is at most40minutes. (Enter your answer as a fraction.)
• Sketch and label a graph of the distribution. Shade the area of interest.
• Write the answer in a probability statement. (Enter exact numbers as integers, fractions, or decimals.)
• The probability of a waiting time of40minutes or
• ---Select---
• less
• more
• is, givenwaiting times ~
• ?
• U
• Exp
• ,.
• Part (h)
• Find the probability that the time is between35and40minutes. (Enter your answer as a fraction.)
• Sketch and label a graph of the distribution. Shade the area of interest.
• Write the answer in a probability statement. (Enter exact numbers as integers, fractions, or decimals.)
• The probability of a waiting time
• ---Select---
• less than
• more than
• 35minutes and
• ---Select---
• less than
• more than
• 40minutes is, givenwaiting times ~
• ?
• U
• Exp
• ,.
• Part (i)
• FindP(25 <x< 55).
• (Enter an exact number as an integer, fraction, or decimal.)
• P(25 <x< 55) =
• State this in a probability statement. (Enter exact numbers as integers, fractions, or decimals.)
• The probability of a waiting time between 25 and 55 minutes is, givenwaiting times ~
• ?
• U
• Exp
• ,.
• Part (j)
• Find the30thpercentile. (Enter your answer as a whole number.)
• State what this means in a complete sentence. (Enter your answer as a whole number.)
• This means that30%of the time, the waiting time is
• ---Select---
• less
• more
• thanminutes.
• Part (k)
• Find the25thpercentile. (Enter your answer as a whole number.)
• In a complete sentence, state what this means. (Enter your answer as a whole number.)
• This means that25%of the time, the waiting time is
• ---Select---
• less
• more
• thanminutes.
• Part (l)
• Find the probability that the time is more than40minutes given (or knowing that) it is at least30minutes. (Enter your answer as a fraction.)