Let X be a random variable with pmf given in the following table. (Do NOT round 0 0.54 p(x) (a) Find E(X). (h) Find VorY\ 1 0.33 2 0.13

Q: Page 44, 1.5.4*. Let px(x) be the pmf of a random variable X. Find the cdf F (x) of X and sketch its…

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Q: 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable…

A: The objective of the question is to find the probability that the time taken by a mechanic to…

Q: C2. Let X be a random variable. (a) Let YaX be another random variable. What is EY, in terms of μ =…

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Q: You study a population and are interested in the proportionpthat has a certain characteristic. You…

A: Given population proportion, p = 0.67Sample size, n = 129Sample proportion,  = 0.73At 80% confidence…

Q: 4. Let X be a random variable taking positive values and assume that E(X) exists. Which of the…

A: Option (I) is correct as E(X2)>= (E(X))2 when we find Variance.

Q: What is the expectation (to 2 decimal places) of Y? ELY

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Q: 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable…

A: The objective of the question is to find the probability that the time it takes a car mechanic to…

Q: Let X be a discrete random variable with the following PMF: for x = 0 Px(x) = = 12 L3 L6 for x = 1…

A: Step 1:The probability mass function is given asx012P(x)1/21/31/6The range of the given PMF would be…

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

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Q: 4. If the random variable X has an show that for a > 0, b>0, exponential distrib f(x) = x/4, for x ≥…

A: For the random variable X~Exponential1λ, it is given that: fx=1λe-xλ, for x≥0

Q: 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable…

A: The objective of the question is to find the probability that the time taken to replace a car…

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 660 drivers were…

A: Probability theorem :  P(W)+P(W¯ ) = 1

Q: X p(x) 0 0.5 1 0.3 2 0.2

A: Let X be the Random variable having probability mass function is,  X 0 1 2 P(X)  0.5 0.3 0.2…

Q: 4. Suppose X is a random variable such that E( 3X - 7) = 8 and E() 19. What is Var( 70 – 2X ) ?

A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

Q: 1. 1. Express P(A) in terms of x. 2. Express P(B) in terms of x. 2. Find the value of x. 3. Find…

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Q: Q2. Let X be a random variable with (a) Find E(X) (b) Find M(t). (0.42 f(x)=0.46 0.12 if x=0 if x =…

A: The random variable X f(x)=0.42         If x=0       0.46          If x=1      0.12          If…

Q: You study a population and are interested in the proportionpthat has a certain characteristic. You…

A: The question is about confidence interval.Given :Randomly selected no. of observations ( n ) =…

Q: Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s s2 What is E(Y) (in…

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Q: Let Y be a discrete random variable with generating function 4 Gy (s) = 6 – What is Var(Y) (in…

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Q: When a man observed a sobriety checkpoint conducted by a police​ department, he saw 656 drivers were…

A:

Q: Suppose that Y is an exponential random variable with λ = 4. Find. P[Y > (E(Y) + 2√√Var(Y))].

A: From given data we have : λ=4 and Y~exp(λ)