II. Determine whether each of the following can be used to represent the probabilitydistribution of a random variable X. If you answered yes, explain why.1. P(X) = for x = 1, 2, 3, ., 82. P(X) = for x = 1, 2, 3, .., 93. P(X)for x = 1, 2, 3, 43-*12%3D4. P(X)for x = 1, 2, 3, 425x5. P(X) = for x = 1, 2, 3, 4, 5

Here use some properties of probabaility distribution

Answered: II. Determine whether each of the…

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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Which of the following is not a discrete random variable? The number of heads when we toss two coins. The number of accidents per week. Amount of cooking oil sold in a departmental store in a day. All of the choices.
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The random variable x represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has between one and three cars, inclusive. Cars Households 135 1 418 242 122 4 83 O 0.782 O 0.218 O 0.418 O 0.135 2. 3.
In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (b) below. Purchased Gum Kept the Money Students Given Four Quarters 26 19 Students Given a $1 Bill 12 31 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.
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The probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station is given in the following table. Fill in the missing value: X 0 1 2 3 4 probability 0.66 0.05 0.04 0.02
The table below shows the results of a survey that asked 1054 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Complete parts (a) through (c). Support Oppose Unsure Total Males 155 322 5 482 Females 232 309 31 572 Total 387 631 36 (a) Find the probability that the person opposed the tax or is female. P(opposed the tax or is female)=nothing Find the probability that the person supports the tax or is male. (c) Find the probability that the person is not unsure or is a female.

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II. Determine whether each of the following can be used to represent the probability distribution of a random variable X. If you answered yes, explain why.