Let \( X \) be a random variable with the following probability distribution.| Value \( x \) of \( X \) | \( P \, X = x \) ||-----------------------|----------------|| 40 | 0.15 || 50 | 0.15 || 60 | 0.25 || 70 | 0.30 || 80 | 0.05 || 90 | 0.10 |Complete the following. (If necessary, consult a list of formulas.)(a) Find the expectation \( E(X) \) of \( X \).\[ E(X) = \, \](b) Find the variance \( \text{Var}(X) \) of \( X \).\[ \text{Var}(X) = \, \]

Given data is Value x of X P(X=x) 40 0.15 50 0.15 60 0.25 70 0.30 80 0.05 90 0.10

Answered: Let X be a random variable with 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 has the following probability distribution. -1 0 P(X=x) 0.20 0.50 0.30 Calculate E[X]. Round to two decimal places.
P(x) 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. 0.025 1 0.164 0.311 3 0.311 0.164 0.025 4 Does the table show a probability distribution? Select all that apply. OA. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. | C. No, the random variable x's number values are not associated with probabilities. D. No, the random variable x is categorical instead of numerical. 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. O A. µ= child(ren)…
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Find the expected value E(X) of the following data. Round your answer to one decimal place. x P(X = x) Show Transcribed Text -6 -5 0.2 0.2 -4 -3 -2 0.2 0.1 0.3
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Let X be a random varlable with the following probability distribution. Value x of X P(X=x) 2. 0.15 3. 0.10 0.35 5 0.15 6 0.10 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E(X) D (b) Find the variance Var(X) of X. Continue 2022 McGraw Hill LL acer 6
An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability distribution of the face value, XX, is as follows: xixi 1 2 3 4 5 6 Total P(X=xi)P(X=xi) 0.15 0.16 0.33 0.2 0.11 0.05 1 The expected value is computed, E[X]=3.11E[X]=3.11. To find the variance and standard deviation the following table was set up: xixi P(X=xi)P(X=xi) (xi−E[X])2(xi-E[X])2 (xi−E[X])2P(X=xi)(xi-E[X])2P(X=xi) 1 0.15 (1−3.11)2=(−2.11)2=4.4521(1-3.11)2=(-2.11)2=4.4521 4.4521⋅0.15=0.66784.4521⋅0.15=0.6678 2 (2−3.11)2=(−1.11)2=1.2321(2-3.11)2=(-1.11)2=1.2321 1.2321⋅0.16=0.19711.2321⋅0.16=0.1971 3 0.33 (3−3.11)2=(−0.11)2=(3-3.11)2=(-0.11)2= 0.0121⋅0.33=0.0040.0121⋅0.33=0.004 4 0.2 (4−3.11)2=(0.89)2=0.7921(4-3.11)2=(0.89)2=0.7921 0.7921⋅0.2=0.7921⋅0.2= 5 (5−3.11)2=(1.89)2=3.5721(5-3.11)2=(1.89)2=3.5721 3.5721⋅0.11=0.39293.5721⋅0.11=0.3929 6 0.05 8.3521⋅0.05=0.41768.3521⋅0.05=0.4176 E[X]=3.11E[X]=3.11 Total:…
Directions: Compute the expected value, variance, and standard deviation for random variable X whose probability table is given below: Possible Outcome -1 0 1/7 1/7 Probability Probability Table for X 1. The Expected Value of X is E(X) 2. The Variance of X is Var(X) 3. The Standard Deviation of X is Std(X) 1 2 5/14 5/14

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Let X be a random variable with the following probability distribution. Valuex of X 40 50 60 70 80 90 PX=x 0.15 0.15 0.25 0.30 0.05 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) =