Determine whether this table represents a probability distribution.I0-224P(x)0.120.1-0.120.9No, because x has negativeNo, because x = 0Yes, because P(x) is 100%No, because P(x) has negativeNo, because P(x) is not 100%

A probability distribution is a mathematical function that describes the likelihood of various…

Answered: Determine whether this table represents…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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) D 0.029 0.153 0.318 0.318 0.153 0.029 1 2 4 --... Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the random variable x is categorical instead of numerical. O c. No, the sum of all the probabilities is not equal to 1. O D. No, the random variable x's number values are not associated with probabilities. O E. No, not every probability is between 0 and 1 inclusive. 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. p=…
Fill in the P (X = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −1, 2, 3, 5, and 6. Value of X P (X = x) −1 0.29 2 0.22 3 5 6 0.14
A company wants to evaluate its attrition rate, in other words, how long new hires stay with the company. Over the years, they have established the following probability distribution. Let X = the number of years a new hire will stay with the company.Let P(x) = the probability that a new hire will stay with the company x years. On average, how long would you expect a new hire to stay with the company? Use the table below. x P(x) 0 0.14 1 0.16 2 0.20 3 0.25 4 5 0.05 6 0.05
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 11 If you added 2 days to each value in the Days (x) column, the variance of days to completion will be _________. a 3.428 b 2.784 c 1.428 d 1.142
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 5 The probability that it will take more than 2 days to complete the project is _________. a 0.722 b 0.694 c 0.667 d 0.641
g is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. x 0 1 2 3 4 Px 0.06 0.13 0.45 0.23 0.13 Find the probability that a student participates in more than two activities.
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 8 The variance of the days to complete the project is ________. a 1.665 b 1.542 c 1.428 d 1.322
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) ×3 X 4 5 6 P(x) 0.27 ? 0.32 0.14
Let x be the number of courses for which randomly selected student at a university is registered. The probability distribution of x appears in the following table. ( all students must be enrolled in between 1 and 7 classes ) x. 1 2 3 4 5 6 7 P (x) ( 0.02 ) ( 0.04 ) (0.09 ) (0.24) ( 0.39 ) ( 0.17 ) ( .05 ) a. Find mean (x) ( round to two decimal places ) B. Find standard deviation of x ( round to two decimal places ) c. What is the probability that x is within 1 standard deviation of the mean? In other words solve: p ( mean of x - standard deviation of x < x < mean of x + standard deviation of x )=
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 9 The standard deviation of the days to complete the project is ________. a 1.195 b 1.106 c 1.024 d 0.948
The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 13 If you doubled each number of days to completion in the Days (x) column, the variance of days to completion will be _________. a 5.710 b 4.758 c 3.965 d 2.855

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Determine whether this table represents a probability distribution. P(x) x 0 2 0.12