Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find the probability distribution given the probability p = 0.598 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 1 2 3 4

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X>1)P(X>1), n=4n=4, p=0.5

Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the probability distribution given the probability p=0.224p=0.224 of success on a single trial.(Report answers accurate to 4 decimal places.) k P(X = k) 0   1   2   3   4   5

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 4, x = 3, p = 0.45

Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Use some form of technology to find the probability distribution given the probability p=0.653 of success on a single trial.(Report answers accurate to 4 decimal places.) k P(X = k) 0   1   2   3   4   5

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X2), n = 6, p = 0.2

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

Assume the random variable has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X3), n = 6, p = 0.4

Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Use some form of technology to find the cumulative probability distribution given the probability of p=0.81 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X < k) 0   1   2   3   4   5

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