Example 2:The following table gives the probability distribution of a discrete random variable X:X01234567P(X)0.11 0.08 0.240.140.180.170.020.06Find the following probabilities:1. P (X= 3)4. P (2< X < 6)2. P (X<2)5. P (4< X < 7)7. Probability that X assumes at most 38. Probability that X assumes at least 53. P (X> 4)6. P (1 < X < 5)

Given: The probability distribution of a discrete random variable X is given below: X P(X) 0…

Answered: Example 2: The following table gives…

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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The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0)(b) P(X ≤ 0)(c) P(-1 < X ≤ 4)(d) P(X ≥ 1)
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.63 0.19 0.11 0.05 ? (a) Only y values of 0, 1, 2, 3, and 4 have positive probabilities. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.) p(4) = Calculate P(y ≤ 2), the probability that the carton contains at most two broken eggs. P(y ≤ 2) = Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs. P(y < 2) =
(c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) x (# of cards) P(x) 0.14 0.01 0.31 7 0.03 3 0.30 8 0.02 4 0.10 9 0.02 0.06 10 0.01 (Type integers or decimals. Do not round.)
X 1 2 3. A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution. 3 4 5 6 P(x) 0.35 0.20 0.15 0.10 0.05 x*P(x a. Define the random variable x. b. Define P(x), or the probability of x. c. Find the probability that a physics major will do post-graduate research for four years. P(x = 4) =_ d. Find the probability that a physics major will do post-graduate research for at most three years. P(x ≤ 3) =_ e. On average, how many years would you expect a physics major to spend doing post-graduate research?
(1) The following table gives a probability distribution of a random variable X. F1 1 3 LValues of X Probabilities 0.4 0.4 0.1 0.1 The expectation of X is -1 0.4 0.5 1.5 N/A (Select One)

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