A business has six customer service telephone lines. Consider the random variable x = number of lines in use at a randomly selected time. Suppose that the probability distribution of x is asfollows.23456p(x)0.050.100.190.370.190.070.03(a) Calculate the mean value and standard devlation of x. (Round your standard deviation to four decimal places.)O, =(b) What is the probability that the number of lines in use is farther thanstandard deviations from the mean value?

The probability distribution of the defined random variable "x=no. of lines in use at a randomly…

Answered: A business has six customer service…

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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A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. (b) What are the mean ? and variance ?2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.)
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.028 1 0.152 2 0.320 3 0.320 4 0.152 5 0.028
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.032 1 0.161 2 0.307 3 0.307 4 0.161 5 0.032 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the random variable x's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1.
For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
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!
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)
Compute the mean and standard deviation of the random variable with the given discrete probability distribution. x Px −5 0.11 1 0.26 4 0.23 6 0.28 8 0.12 (a) Find the mean. Round the answer to three decimal places, if necessary. (b) Find the standard deviation. Round the answer to three decimal places, if necessary.
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.)
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.)
Assume that the probability of a being born with Genetic Condition B is p=17/60. A study looks at a random sample of 1146 volunteers. 4 Find the most likely number of the 1146 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 1146) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value p+20. Enter answer as an interval using square-brackets only with whole numbers. usual values= Question Help: Submit Question Jump to Answer Written Example Message instructor 44°F Clear W S 3 E D 4 Q Search R LL T V G Y 00 H J
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inheri: the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements P(x) 0.034 1 0.165 0.301 3 0.301 that are not satisfied. 4 0.165 0.034 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, not every probability is between 0 and 1 inclusive. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the sum of all the probabilities is not equal to 1. O E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. H=2.5…

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