(Mean, Variance, and Standard Deviation)When three coins are tossed, the probability distribution for the random variableX representing the number of heads that occur is given below. Compute themean, variance, and standard deviation.Number of Heads (X)Probability P(X)01/813/823/831/8

Answered: When three coins are tossed, 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 random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 2 3 4 5 6 f(x) 0.01 0.25 0.4 0.3 Find the standard deviation of X.
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 Probability 0.269 0.295 0.241 0.144 4 0.038 5 0.013 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is. (Round to one decimal place as needed.)
Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
When conducting research on allergic reactions to a new drug, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who develop an allergic reaction. x P(x) 0 0.665 1 0.278 2 0.052 3 0.004 4 0.001 5 0.000 a. Find its mean and standard deviation. (Round to one decimal place as needed) b. What is the probability of at least 3 males developing an allergic reaction? (Round to three decimal places as needed)
If z is a standard normal random variable, find the probability.The probability that z lies above 1.12
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 4 Probability 0.262 0.299 0.233 0.153 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)
A customer service center is tracking number of complaints in each week. Let X be the number of complaints in each week. The probability distribution of X is summarized as below. X 0 1 2 3 Probability 0.4 ? 0.15 0.05 Can we be certain that the standard deviation of X is less than 3?
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 Probability 0.269 0.295 0.241 0.144 The variance is 1.5. (Round to one decimal place as needed.) (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.4. (Round to one decimal place as needed.) The standard deviation is 1.2 (Round to one decimal place as needed.) (b) Interpret the results. 4 0.038 The mean is so the average batch of 1000 machine parts has the typical number of defects in a batch of 1000 (Round to one decimal place as needed.) 5 0.013 0 The standard deviation is SO
Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.289 0.238 0.156 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)
If z is a standard normal random variable, find the probability.The probability that z lies above 2.13
Q2: A random variable X has a mean = 8, a variance o² = 9, and an unknown probability distribution. Find P(X-826).
Find the mean and variance of the following discrete random variable distribution.? ?(?)0 0.35 1 0.45 2 0.16 3 0.04

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When three coins are tossed, the probability distribution for the random variable X representing the number of heads that occur is given below. Compute the mean, variance, and standard deviation. Number of Heads (X) Probability P(X) 0 1/8 1 3/8 2 3/8 3 1/8