Let X be a random variable with the following probability distribution.Value x of X P(X=x)10203040500.100.300.200.250.15Complete 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) =

x p(x) x*p(x) x2*p(x) 10 0.10 1 10 20 0.30 6 120 30 0.20 6 180 40 0.25 10 400 50 0.15 7.5…

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)…
The probability distribution for X and Y is shown by the table. Find the marginal distribution function value of X = 1. G(1) = X 2 3 1 0.06 0.10 0.04 2 0.10 0.12 0.13 3 0.15 0.19 0.11 Y
variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ? =EX (b) Find the variance Var X of X .? =VarX
I need help with C and D
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
EXCEL CHART: X P(X) 0 0.903921 1 0.092237 2 0.003765 3 7.68E-05 4 7.84E-07 5 3.2E-09 Question is in the picture.

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x	p(x)	x*p(x)	$x^{2} * p (x)$
10	0.10	1	10
20	0.30	6	120
30	0.20	6	180
40	0.25	10	400
50	0.15	7.5	375
		$Σx * p (x) = 30.5$	${Σx}^{2} * p (x) = 1085$

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 20 30. 40 50 0.10 0.30 0.20 0.25 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E(X)= (b) Find the variance Var(X) of X. Var(x) =