The probability distribution for the random variable x follows.f(x)200.30250.05300.25350.40(a) Is this probability distribution valid? Explain.Since f(x) ?0 O for all values of x and ) ` f(x)this ---Select---O a proper probability distribution.(b) What is the probability that x = 30?(c) What is the probability that x is less than or equal to 25?(d) What is the probability that x is greater than 30?

Answered: Image /qna-images/answer/27cd5e82-724b-4dfc-9031-5f2c21b8ad3c.jpg

Answered: The probability distribution for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The probability distribution for the random variable x follows. f(x) 20 0.25 25 0.20 30 0.20 35 0.35 (a) Is this probability distribution valid? Explain. Since f(x) 20 for all values of x and f(x) = 1 (b) What is the probability that x = 30? (c) What is the probability that x is less than or equal to 25? (d) What is the probability that x is greater than 30? this is a proper probability distribution.
The probability distribution of a random variable x is as shown in the following table: x -2 1 5 6 P(x) 0.16 ? 0.31 0.21 a)Find P(x=1) b)Find the probability that the random variable x is at most 2. c)Find the probability that the random variable x is at least 1. d)Find P(0<x<1) e)Find P(2<x<6)
statistic discrete rondom variable
The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind. Use this table to find the probability P(C). P(C)= View an example Textbook Question 17 (071) A 6 & 7 + 8 O M M' Totals C 0.042 0.006 0.048 C' 0.400 0.552 0.952 Totals 0.442 0.558 1.000 ဂ Clear all + Check answer prt sc delete backspace
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)
There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by ?(? = ?) = 4 − ? ? = 0,1,2 9 (i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday
Suppose X takes the value 1 with probability P, and the value 0 with probability (1-P). The Probability distribution of X is P(X) 1-P 1 P The expected value of X, E(X) is:
Which of the following is not a property of a discrete probability distribution being valid? All values of P(x) must be positive. All values of P(x) must fall between 0 and 1. All values of x must be positive. The sum of all P(x) values must be 1.
Which of the given distributions represents a probability distribution? (i) X 1 2 3 4 O only (ii) O only (iii) O only (i) P(x) O (only (i) and (ii) 0.22 O Only (ii) and (iii) 0.36 0.29 0.16 (ii) X 5 6 7 8 P(x) 0.25 -0.22 0.41 0.12 (iii)
(i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday

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