You could open the file i posted, it’s easier to see the question.

Problems for you to ponder:1. The length of time patients must wait to see a doctor in a local clinic is uniformlydistributed between 15 and 45 minutes.a. Define the random variable in words.b. What is the probability of a patient waiting exactly 30 minutes?c. What is the probability that a patient would have to wait between 5 and 25minutes?d. Compute the probability that a patient would have to wait over 30 minutes.e. Determine the expected waiting time and its standard deviation.2. Scores on a recent national statistics exam were normally distributed with a mean of 80and a standard deviation of 6.a. What is the probability that a randomly selected exam will have a score of atleast 71?b. What percentage of exams will have scores between 89 and 92?c. If the top 2.5% of test scores receive merit awards, what is the lowest scoreeligible for an award?d. If there were 334 exams with scores of at least 89, how many students took theexam?3. A continuous random variable may assumea. all values in an interval or collection of intervalsb. only integer values in an interval or collection of intervalsc. only fractional values in an interval or collection of intervalsd. all the positive integer values in an interval4. For a continuous random variable x, the probability density function f(x) representsa. the probability at a given value of xb. the area under the curve at xc. Both the probability at a given value of x and the area under the curve at x arecorrect answers.d. the height of the function at x5. A continuous random variable is uniformly distributed between a and b. The probabilitydensity function between a and b isa. zerob. (a – b)c.(b-a)d. 1/(b-a)