Activity 3: 1. Find the mean of the probability distribution of the random variable X, which can take only the values 1, 2, and 3, given that P (1) =P(2) ==, and P (3) = _10 12 %3D

Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Given: x 2 3 4 5 6 7 f(x) 0.25 0.15 0.10 0.15 0.10 0.25

Q: If X and Y are independent, normally distributed random variables each with mean 0 and variance 1,…

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Q: 0. x < 2 1 25x <3 15 3<x < 4 (b) F(x) = 6. %3D 4sx<5 15 , 55x<6 1 , x26 15 2/3

A: We have given that a random variable X has a pdf given by S(x) = (x-1)/k ,   x= 2,3,4,5,6 and k is…

Q: (a): Find the probability distribution function fx(x) for the random variable X whose distribution…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: We randomly select four cards from a standard deck of 52 cards and count X, the number of Diamonds…

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Q: The probability distribution of X, the number of males with tinnitus (ringing ears) among 6 randomly…

A: x P(x) 0 0.61 1 0.24 2 0.08 3 0.04 4 0.02 5 0.01 6 0 Total 1

Q: 3. X · P(X) (X – 4)? (х — и)2 . Р(X) X P(X) 1 0.11 0.40 7 0.30 10 0.19

A: According our policy we can answer only first question for remaining please repost the question.

Q: The random variable Y have a geometric distribution with a mean of 5.The probability that P(Y=4) is

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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: 2Y 0 Show that has a x² distribution with 2 degrees of freedom.

A: Mean =θ ,

Q: Let X be a random variable with the following probability distribution: X = -3 6. 1 p(x) = x = 6 x =…

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Q: Let X be a random variable with probability function f(x) = 36 1 49 x² Calculate the variance of X.…

A: f(x)=

Q: Find the probability a randomly selected z-score is between -1 and 1.2.

A: Probability that the randomly selected Z-score is between -1 and 1.2 P(-1&lt;z&lt;1.2)   We know…

Q: b. Find E[X(X – 1)] for Poisson random variable. Use the result to find the variance of X.

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Q: kercise 3.4.7. (Repeated from Lecture 3.4). Let RE, ="Nature generates a party attendee." The number…

A: Given See the handwritten solution

Q: GB data package througha double satellite media. P(x) 0.40 1 0.30 0.25 3 0.05

A: Given: x: the number of re-transmissions  x P(x) 0 0.40 1 0.30 2 0.25 3 0.05

Q: The following table represents the joint probability distribution of the number of letters dropped…

A: From the given information, The pmf table can be expressed as;   Y=2 Y=3 Y=4 Y=5 P(X=x)   X=0…

Q: Suppose that the number of accidents occurring on a highway each day is a Poisson  random variable…

A: Givenλ=3.1 for each dayLet "x" be the no.of accidents occur in a dayx~Poisson(λ=3.1)P(X=x)=e-λ×λxx!…

Q: Let X be a geometric distribution function with px(n) = p(1 - p)n-¹. Find the expected value and the…

A: P(X=x)=p(1−p)x−1;x=1,2,3,...

Q: Suppose the random variable Y counts the number of heads in 10 tosses of a biased coin with P(H) =…

A: Y is a random variable that can take on values from 0 to 10 with probability P(Y=y) =E(Y) =6 and…

Q: Let X 1 be a normal random variable with mean 2 and variance 3 and let X 2 be a normal random…

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Q: Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find…

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Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,ß = 0.5. Find…

A: Solution is given below.

Q: PART VI. Consider the following discrete probability distribution. X P(x) 0 0.18 1 0.44 2 0.27 3…

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Q: 2. Determine whether the following can be probability distributions of a random varlable that can…

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

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Q: Consider the joint probability distribution of X and Y: x = -2 x = 0 x = 2 %3D y = -4 0.25 0.25 y= 0…

A: Since you have asked multiple question, we will solve the first question for you. If you want the…

Q: 5. Given (kx? if z = 1, 2, 3, 4 P(x) = else sa probability function for a discrete random variable;…

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Q: For the individual model, suppose that has distribution Ber(q), that is, = q> 0 is constant. Find…

A: Given the Bernoulli distribution with q as a parameter f(x) = q &gt;0 Given the probability…

Q: Suppose x is a normally distributed random variable with µ = 15 and o = 2. Find each of the…

A: Gdfhb

Q: If a discrete random variable X takes only three values 3, 5, and 8 and that P(X-3)%30.3,…

A: We have to find out given probability..

Q: 4. Find the mean of the probability distribution of the random variable X, which 10 P(2) = 33 and…

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Q: Consider a random sample from the distribution of Binomial, Poisson, Exponential, Gamma, and normal.…

A: Binomial: Let Xi~Bn,p, the the p.m.f of Xi is given by, px=nCxpxqn-x,x=0,1,2,...,n Then, EXi=np and…