3AThe probability distribution of a random variable x isgiven below,X = xiP(X=xi)Find its mean?ļ1: 1/722/435/14

Answer: From the given data, X= Xi : 1 2 3 P(X= Xi)…

Answered: The probability distribution of a…

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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After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.
The probability distribution itself is assumed to be a beta distribution. True or false?
In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 230 or fewer will have 2 girls? Approximate a binomial distribution with a normal distribution.
If a researcher wanted to know the probability than an individuals's systolic blood pressure would fall above 95 and found that the corresponding z-score is -1.5, what is the probability that a random individuals' systolic blood pressure would fall above 95?

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The probability distribution of a random variable x is given below, X = xi P(X=xi) : 1/7 Find its mean? ¦ 1 2 2/4 3 5/14