Showing 241 to 250 of 687 Questions
  • Let X, Y, and Z have the joint probability density function(a) Find k.(b) Find P (X < 1/4, y > ½ , l < Z < 2 ) .

  • Determine whether the two random variables of Exercise 3.43 are dependent or independent.

  • Determine whether the two random variables of Exercise 3.44 are dependent or independent.

  • The joint probability density function of the random variables X, Y, and Z is find(a) The joint marginal density functions of Y and Z:(b) The marginal density of Y;(c) P (1/4 < X < 2 ½, Y > ½, KZ < 2);(d) P (0 < X < ½ | Y = i 2 = 2).

  • A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic)(a) Find the probability that in a given box the Turkish tobacco accounts fo

  • An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is(a) What is the probability mass function of X?(b) Compute P(4 < X < 7).

  • Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two components. The joint density of X and Y is(a) Give the marginal density functions for both random variables.(b) What is the probability that both components will exceed 2 hours?

  • A service facility operates with two service lines. On a randomly selected day, let X be the proportion of time that the first line is in use whereas Y is the proportion of time that the second line is in use. Suppose that the joint probability density function for (A, V) is(a) Compute the probability that neither line is busy more than h

  • Let the number of phone calls received by a switchboard during a 5-minute interval be a random variable X with probability function(a) Determine the probability that X equals 0, 1, 2, 3, 4, 5, and 6.(b) Graph the probability mass function for these values of x.(c) Determine the cumulative distribution function for these values of X.

  • Consider the random variables X and Y with joint density function(a) Find the marginal distributions of X and Y.(b) Find P(A > 0 . 5 , y >0.5).