let X be a random variable and X is normally distributed such that (p = 35), (o = 4) then: P(36 < x< 38) =

Q: Consider a discrete random variable X with a pmf given by i) ii) iv) p(x) = cx2, if x = 1,2,3,4 0,…

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Q: (a) P(x ≤ 4), n = 6, p = 0.9 P(x) = (b) P(x > 5), n = 9, p = 0.6 I P(x) = (c) P(x < 3), n = 4, p =…

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Q: A woman leaves for work between 8 AM and 8:30 AM and takes between 40 and 50 minutes to get there.…

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Q: et X denote a beroulli random variable, that is P(X=1) =p and P(X=0)=1-p and let Y be a binomial…

A: Given information X~Ber(p) and Y~Bin(n,p)

Q: A women leaves for work between 8 AM and 8:30AM and takes between 40 and 50 minutes to get there.…

A: Let the random variable X follows uniform distribution with parameters 0 and 30. Let the random…

Q: Suppose that the random variable X is continuous and takes its values uniformly over the interval…

A: Given that  X~U(a,b) a=0 , b=2

Q: Q1) A discrete random variable x has the probability distribution p(X = k) for occurrence of x as…

A: We have given a discrete random variable.x       0  1    2   3  p(x)   k  2k 3k 4kWe have to…

Q: For a uniform random variable U∼U(0,14)U∼U(0,14), find the probability P(U>11)P(U>11): P(U>11)

A: From the provided information, U~U(0, 14) a = 0 and b = 14

Q: The probability distribution of random variable X is a) b) c) d) Show that k = 6. Find P(X <3). P(X=…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Let X(n,p) denote a binomial random variable with parameters n and p. Show that X(n+1,p)>=st X(n,p).

A: Given To prove that

Q: Show that if a random variable has a uniform den-sity with the parameters α and β, the probability…

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Q: Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. [a] How can…

A: We have given thatVar[X] = 4.8Var[Y] = 9.7X and Y are independent random variables.That is,…

Q: Let X1 and X2 be independent random variables with respective binomial distributions b(3,1/2) and…

A: The provided information is as follows:The  and  are two independent variables.The  follows binomial…

Q: If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x ≤ 4), n =…

A: Considering the random variable x is a Binomial random variable, i.e., the variable essentially…

Q: Let Z be a discrete random variable taking one of the four distributions, Bernoulli, Binomial ,…

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Q: If X is a continuous random variable that takes on values between 10 and 40, then the P(X = 15.5) =…

A: We have given that  X is a continuous random variable that takes on values between 10 and 40, then…

Q: Let X₁, X₂ be 2 mutually independent discrete random variables. The first variable X₁ can be a whole…

A: Detailed solutions are given below.Explanation:X1 = 1,2,3,4,5 and X2 = 1,2,3,4,5,61) To find P(X1 =…