5. Suppose that a coin is tossed twice so that the sample space is S = {HH, HT, TH, TT}. Let X represent the # of tails that can come up. Create a table for its Probability Distribution Function (PDF) and draw its histogram. Test if the sum of probability is 1. P(x) Sum

Please answer the question in the photo! thanks!

A health and safety consultant working in a large department store finds that the wait time for a lift on the second floor of the building can be modelled with a continuous uniform distribution ranging from 1 to 5 minutes. The lift takes 30 seconds to move from one floor to the next. Calculate the probability that a person can reach the ground floor in less than 2.25 minutes after pushing the button to request the lift on the second floor.

Let X be the time (in minutes) it takes Mr. Sheikh to drive from his home to his office. Suppose X has a uniform distribution on [25, 40]. If he leaves his home every day at 8:25 am and has to be in by 9:00 am, what is the probability that he will be late for work?

complains about an intenet brokerage firm occur at a rate of 4 per day . the number of complaintsto be poission distributed    find the probability that the firm receives 6 or more complints in a day .

The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.

action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4