# Question: A J has 20 jobs that she must do in sequence

A.J. has 20 jobs that she must do in sequence, with the times required to do each of these jobs being independent random variables with mean 50 minutes and standard deviation 10 minutes. M.J. has 20 jobs that he must do in sequence, with the times required to do each of these jobs being independent random variables with mean 52 minutes and standard deviation 15 minutes.

(a) Find the probability that A.J. finishes in less than 900 minutes.

(b) Find the probability that M.J. finishes in less than 900 minutes.

(c) Find the probability that A.J. finishes before M.J.

(a) Find the probability that A.J. finishes in less than 900 minutes.

(b) Find the probability that M.J. finishes in less than 900 minutes.

(c) Find the probability that A.J. finishes before M.J.

## Answer to relevant Questions

A student has to sell 2 books from a collection of 6 math, 7 science, and 4 economics books. How many choices are possible if (a) Both books are to be on the same subject? (b) The books are to be on different subjects? From past experience, a professor knows that the test score of a student taking her final examination is a random variable with mean 75. (a) Give an upper bound for the probability that a student’s test score will exceed ...Fifty numbers are rounded off to the nearest integer and then summed. If the individual roundoff errors are uniformly distributed over (−.5, .5), approximate the probability that the resultant sum differs from the exact ...Let Zn, n ≥ 1, be a sequence of random variables and c a constant such that, for each ε > 0, P{|Zn − c| > ε}→0 as n→∞. Show that, for any bounded continuous function g, E[g(Zn)]→g(c) as n→∞ Use the rejection method with g(x) = 1, 0 < x < 1, to determine an algorithm for simulating a random variable having density functionPost your question