Let X be a binomial random variable with mean u = 2.2 and variance o? = 1.76, find %3D %3D a) Write the probability distribution function. b) P(x<2) c) If Y = 0.5 X - 0.4, find the mean and variance of the new random variable Y. |

Let X be a binomial random variable with mean u = 2.2 and variance o? = 1.76, find %3D %3D a) Write the probability distribution function. b) P(x<2) c) If Y = 0.5 X - 0.4, find the mean and variance of the new random variable Y. |

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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Question

Let X be a binomial random variable with mean u = 2.2 and variance o2
= 1.76, find
a) Write the probability distribution function.
b) P(x<2)
c) If Y = 0.5 X - 0.4, find the mean and variance of the new random variable Y.

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The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playing