4.36 to 4.39: Variance of Random Variables |Exercise Solution of Probability & Statistics by Walpole

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  • Опубликовано: 22 авг 2024
  • This is the exercise problems solution of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise problems 4.36 to 4.39 to find the variance and standard deviation by using the joint probability function for discrete and continuous probability functions
    4.36: Suppose that the probabilities are 0.4, 0.3, 0.2, and 0.1, respectively, that 0, 1, 2, or 3 power failures will strike a certain subdivision in any given year. Find the mean and variance of the random variable X representing the number of power failures striking this subdivision.
    4.37: A dealer’s profit, in units of $5000, on a new automobile is a random variable X having the density function given in Exercise 4.12 on page 117. Find the variance of X.
    4.38: The proportion of people who respond to a certain mail-order solicitation is a random variable X having the density function given in Exercise 4.14 on page 117. Find the variance of X.
    4.39: The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function given in Exercise 4.13 on page 117. Find the
    variance of X.
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