A bus comes by every 9 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 9 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.   The probability that the person will wait more than 5 minutes is  Suppose that the person has already been waiting for 1.4 minutes. Find the probability that the person's total waiting time will be between 3.8 and 4.2 minutes  86% of all customers wait at least how long for the train?  minutes.

George is a big fan of music from the 1960s, and 22% of the songs on his iPod are Beatles songs. Suppose George sets his iPod to  "shuffle," so that it selects songs randomly (assume the shuffle function permits repetition of songs). During a long drive, George plays 50 randomly selected songs. Calculate the probability that more than 30% of the 50 randomly selected songs are Beatles songs. Round your answer to four decimal places.

Is the average time to complete an obstacle course different when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 40 40 41 43 49 48 45 48 Left 37 36 41 43 48 46 46 43 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Họ: pd vV (please enter a decimal) Select an answer v H1: ud vv (Please enter a decimal) Select an answer v b. The test statistic t v- (please show your answer to 3 decimal places.) c. The p-value = (Please show…

The reported cancer rates for men ages 65 and older is 23%.  Assume this estimate is the true population proportion of men ages 65 and older who have been diagnosed with some form of cancer.  A SRS of 25 men ages 65 and older is taken.  Calculate the probability that proportion of men ages 65 and older who have been diagnosed with some form of cancer is more than 0.30.  (The answer has to be either A or B) A. 0.2033   B. 0.2236