Suppose that a positive continuous random variable X has probability density function given by f(x)=c(14-5x^2), where c is aconstant. What is the variance of this random variable?TYPE YOUR ANSWER AS THE NEAREST NUMBER WITH TWO DECIMAL DIGITS.

Answered: Suppose that a positive continuous…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with u = 28 pounds and o = 5.5 pounds. (a) Calculate the probability that a piece of luggage weighs less than 32 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. Ib (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 17 pounds. (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 22.5 and 39. (e) According to the Empirical Rule, about 84% of bags weigh less than pounds. Submit Answer View Previous Question Question 4 of 7 View Next Question Home My Assignments Request Extension 11:16 AM W) 59°F P Type here to search 10/19/2021 4 BA ins prt sc delete home end f10 12 f3 米 f4 f5 f6 10 fg & num + backspace lock 2 3. 4 6. 7. 00 II %24 %23
Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random variable with CDF F(x) = 1 − e-x/3 x ≥ 0 What is the probability that the battery lasts between 12 to 15 months?
True or False: For an exponentially distributed random variable, x, P(x) = 1/(b - a).
I have a probability distribution consisting of (x, p(x)): (-3, 0.1), (-2, 0.2), (-1, 0.3), (0, 0.05). The probabilities obviously do not sum to 1. How do I find <x> (average), <x2> (the second moment), <sigmax2> (the variance)?
Let Y be a random variable with the mgfM(t) = .35e^(−4t) + .1 + .25e^(2t) + .3e^(4t).(a) What is the pmf of Y?(b) Calculate the variance of Y directly from the pmf you determined in part (a).(c) Calculate E[Y^4] directly from the mgf.
Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with u = 24 pounds and o = 6.3 pounds. (a) Calculate the probability that a piece of luggage weighs less than 28.8 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. Ib (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 11.4 pounds. % (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 17.7 and 36.6. % (e) According to the Empirical Rule, about 84% of bags weigh less than pounds.

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Suppose that a positive continuous random variable X has probability density function given by f(x)=c(14-5x^2), where c is a constant. What is the variance of this random variable? TYPE YOUR ANSWER AS THE NEAREST NUMBER WITH TWO DECIMAL DIGITS.