QUESTION 6Suppose X is a discrete random variable whose probability distribution function f(x) is given by thefollowing table.x2-130 11132f(x) 10 10 10 10 10What is the probability that X lies within 1 standard deviation of its mean?Round to 4 decimal places if needed.-2

The probability distribution of a discrete random variable X is, x f(x) –2 1/10 –1…

Answered: Suppose X is a discrete random variable…

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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I am in Prob/Stat! Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places. x P(x) 0 0.15 1 0.15 2 0.2 3 0.5 I have multiplied P by x, thus, P(x) as such: 0.15(0) = 0 0.15(1) = 0.15 0.2(2) = 0.4 0.5(3) = 1.5 I then add the four together to get the sum of; 2.05. What am I doing wrong? Am I not finding the standard deviation correctly?? Thank you in advance!
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Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
The discrete random variable X has the probability distribution given by: -1 1 2 3 P(X = x) 0.2 r 0.4r 0.2 c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the variance of the random variable Y, where Y = 6 – 2X Answer in exact fraction or exact decimals
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Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1
X-X Z= Z-score: Variance: σ ²=Σ(x-4)²P For questions 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 1 2 3 4 5 X 3 4 5 6 7 P(x) 0.3 0.2 0.1 0.3 0.1 P(x) 0.1 0.2 0.3 0.15 0.25 1 2 Find E(X) for the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 0 2 4 6 8 X 1 4 5 6 8 P(x) 0.1 0.1 0.1 0.2 0.5 P(x) 0.2 0.2 0.2 0.3 0.1 3
Q.No.6.a. A discrete variable ‘X’ has the following probability distributionX -4 -1 1 4 6P(X=x) 0.1 0.4 k 2k 0.2i. Find the value of k.ii. P (x=3)iii. P(x≥1)iv. P(-1≤X<5)b. A bag contains 5 blue and 4 red balls, choose 5 balls randomly, if ‘X’ is the number ofblue balls selected.
please answer a,b
Number of 0 1 2 3 4 5 6 malfunctions: Probability: f(x) | 0.17 0.29 0.27 0.16 0.07 0.03 0.01

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Suppose X is a discrete random variable whose probability distribution function f(x) is given by the following table. 0 1 2 3 3 T 10 10 10 10 What is the probability that X lies within 1 standard deviation of its mean? x -2 -1 f(x) 10 Round to 4 decimal places if needed.