(a). Find the value of ß that makes fx(r) a valid pdf. (b) Find the edf for the random variable X. (c) Find the probability that the random variable X is greater than 2.

Q: 6 - A fair coin is tossed three times (consecutively). What is the variance of X if X is the number…

A:

Q: Q.1 The probability that a patient with a heart attack dies of the attack is 0.04 (i.e., 4 of 100…

A: Given,n=5p=0.04A random variable X~Binomial(n=5 , p=0.04)

Q: Let Z be a random variable with p.g.f Pz(s). Determine the p.g.f. of the random variable Y = 2Z+1

A: Solution

Q: b. If a student selected at random, find the probability that: Selected student is female and spends…

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Q: Find E(X) =  Find Var(2X + 100 - 24) =  What is the probability that a child in Sweden can speak…

A:

Q: Suppose that X and Y are independent random variables having the joint probability distribution:…

A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

Q: The function f (x) = cx², x = 1, -1, 2, -2, 3,-3 In order for the random variable X to be a…

A: use property of valid pmf

Q: Q/ The probability distribution of random variable X is: 3. P(x) 0.1 0.3 0.5 0.1 iTY-X+2X Find: 1.…

A: Given Y= X2+2X So we find Y for every X X 0 1 2 3 Y 0 3 8 15 P(Y) 0.1 0.3 0.5 0.1

Q: Let X have a mean of 132 and a variance of 32. Define Y=X² + 2X+1. Compute the (a) mean and (b)…

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Q: The following table lists the probability distribution of the variable x which represents the number…

A: Given data, x                       0                1                  2                      3…

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

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Q: The Food Marketing Institute shows that 18% of households spend more than $100 per week on…

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Q: e. Find the variance and standard deviation of the probability distribution of the random variable X…

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Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

Q: Which one of these variables is a continuous random variable? O a. The number of tattoos a randomly…

A:

Q: Q. 3 The resistance of an electrical component follows a pdf given by What is the probability that…

A: We've to find P(X&lt;2.7) = Integration |12.7 f(x) dx

Q: The discrete random variable X has the probability distribution given by: 2 4 6 8 P(X= x) 0.15 0.15…

A:

Q: suppose that X is a random variable with probability distribution.P(X=k)= 0.02k,where k takes the…

A: Given: P(X=k) = 0.02k k = 8,12,10,20 Here takes the value 8,12,10,20

Q: B. Answer the following: Solve for the mean and variance of random variable. Let X be a random…

A: Given, X P(X=x) 0 1/4 1 2/5 2 1/8 3 9/40

Q: Let Y be negative binomial random variable with r=2 and p=0.4, then find E(Y²) 15 None 67.5 32.5 20

A:

Q: | X*-PCx) Number of Boxes I probability x- P) of breads x PCx) 0.20 0.25 10 15 0.30 20 0.15 0.10…

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Q: k is a probability distribution 4* Given that p(x) = for a random variable X that can take on the…

A: a) Total probability is always 1. Using that we…

Q: Find the variance for the probability distribution 4 0 1 2 3 P(X=x) 0.04 0.18 0.34 0.23 0.21 Select…

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Q: Let Y be a random variable with the following probability distribution: p(y) = y/6 for y = 1; 2; 3…

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Q: Suppose the probability function for x is such that p(x=1)=0.3, p(x=2)=0.4 and p(x=3)=0.3. What is…

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Q: The probability Pete will catch fish when he goes fishing is 0.6. Pete is going fishing 4 days next…

A:

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

A: Solution-: We have the p.m.f. of X is given by,  f(x)=3x*(14)x*(34)3-x f  ;  x=0,1,2,3;   We find…

Q: Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=32730+5213+721330-3730+513+713302=31.6666666667-5.42=2.5066666667

Q: Find a z value such that the probability of obtaining a larger z value is only 0.15.

A: From the provided information, The probability of obtaining a larger z value is 0.15. That is P (Z…

Q: Consider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 0.15 0.45 Find…

A:

Q: The random variable Z has the probability distribution shown below If  E(Z) =4 2/3find the values…

A: Given Information: The probability distribution of the random variable Z is given as: z 2 3 5 7…

Q: Q2: A random variable X has a mean = 8, a variance o² = 9, and an unknown probability distribution.…

A: It is given that:The random variable X has mean and variance as:

Q: The random variable X represents the number of cherries in a cherry puff, and has the probability…

A: Given that X is the number of cherries with the following probability…