Andrew finds that on his way to work his wait time for the bus is roughly uniformly distributed between 11 minutes and 23 minutes. One day he times his wait and writes down the number of minutes ignoring the seconds. Round solutions to three decimal places, if necessary. 0.08 0.06 0.04 0.02- 11 12 13 14 15 16 17 18 19 20 21 22 Wait time measured in minutes rounded down What is the probability that Andrew waits for 13 minutes? P(X = 13) = What is the probability that Andrew waits between 11 and 16 minutes?

A recent study has shown that 68% of parents allow their children to ride their bicycles without using a helmet.   If we randomly select 25 parents, what is the probability that exactly 18 of the parents allow their children to ride their bicycles without using a helmet? Compute your solution as a decimal and round your final answer to four decimal places. P(exactly 18) =  __________

Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.b.  Again assuming one advisor, what is the probability that there are more than tenstudents in the clinic at a random point in time? What is the probability that the timespent in the clinic exceeds 30 minutes?.

help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working

Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution with a μ = 42.5 minutes. A statistician randomly selects n = 38 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X ? minutes and a standard deviation ox ☐ minutes. with a mean x (b) What is the probability that the average time for this sample of n = 38 airline passengers to clear security is between 32 minutes and 57 minutes? Enter your answer using all the decimals you can. (c) 97% of the time, the mean time it takes n = 38 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? Enter your answer using all the decimals you can. minutes

Andrew finds that on his way to work his wait time for the bus is roughly uniformly distributed between 6 minutes and 9 minutes. One day he times his wait and writes down the number of minutes ignoring the seconds. Round solutions to three decimal places, if necessary. 0.3 0.25 0.2- 0.15 0.1- 0.05 6. 7 8. Wait time measured in minutes rounded down What is the probability that Andrew waits for 9 minutes? P(X = 9) = What is the probability that Andrew waits between 6 and 8 minutes? P(6 < X < 8) = W

Once checked in at the ticket kiosk, the amount of time it takes a airline passenger at the Calgary International Airport to clear security is a random variable that can be modeled by the Exponential distribution with a µ = = 44.5 minutes. A statistician randomly selects n = 42 airline passengers and records how long, in minutes, it takes each to clear security once each has checked in at the ticket kiosk. (a) Complete the statement below. Enter your answer using all the decimals you can. The distribution of X ? minutes. minutes and a standard deviation σχ = with a mean x = (b) What is the probability that the average time for this sample of n = 42 airline passengers to clear security is between 30 minutes and 61 minutes? Enter your answer using all the decimals you can. = :42 airline passengers to clear security after ticket kiosk check-in is at most how many minutes? (c) 99% of the time, the mean time it takes n Enter your answer using all the decimals you can. minutes