Determine if the following are true or false.a)A random variable is continuous. For any value a, P(X=a)~0 always.b)A standard normal curve means that the mean is 1 and standard deviation is 0.c)For the following probability density function, P(X<2)=2f(x)/1个4The amount of buses that pass through a bus line in 20 minutes is ad)discrete random variable.Focus

Answered: Image /qna-images/answer/8e92fd1d-280c-4115-bc24-e4d86cb95454.jpg

Answered: a) A random variable is continuous. For…

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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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.)
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A motorcycle drives from Moraytato Lacson and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Morayta to Lacson and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by x y 0 1 2 3 4 0 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 3 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01 d) Give E(X). Answer= (e) Give E(Y). Answer= (f) Give E(Y| X = 3). Answer= (g) Give the standard deviation of X. Answer=
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