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 0.567 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 1 2 3 4

A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.088 1 0.331 2 0.409 3 0.172 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to…

The amount of time, T, that the effect of caffeine is felt on your body after drinking a cup of coffee is given by a continuous random variable with an exponential distribution. On average, caffeine is felt for about 5 hours after drinking the cup. (Answer part a-c) a. What is the probability that the effect lasts at least 4 hours? b.  What is the probability that the effect lasts fewer than 6 hours? c.  You usually go to sleep at 11:30 pm, and drink exactly one cup of coffee a day. Suppose you wish to guarantee at most a 5% chance of feeling the effects of caffeine when you go to sleep. What's the latest that you should drink your only cup of coffee?

SAT math scores are normally distributed with μ=500,σ=100.  What is the probability a randomly selected score is less than 620 points  What score separates the highest 1% of scores from the rest?

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

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