If X is a random variable with Binomial distribution of n=35 and p=0.45, find:    i. E(X) ii. Var(X) iii. P(X ≤ 4)

Q: The random variable X can only take the values ​​1, 2, 3 and 4 with equal probability. Determine the…

A: Given information: A random variable X has been given that can take only values 1, 2, 3 and 4. The…

Q: If X is a continuous random variable with the uniform distribution on [0,1], then what is P[X = .5]?…

A: We have given that X is a continuous random variable with the uniform distribution on [0,1].

Q: Let X be a random variable having the binomial distribution with size n and probability p E (0,1).…

A:

Q: The random variable X has a Poisson distribution with a mean value of 6. According to this P(2 S…

A: Probability=0.268

Q: Q2: What is the expectation and the variance of RV X, where X represents the out come throwing a…

A: Answer:-  Q2)Let X be the number of outcomes after throwing a die.

Q: If a random variable X follows Poisson distribution such that P (X = 1) = P (X = 2) find (a) the…

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Q: Q3: let x be random variable with Beta distribution, find the V(x)?

A: Beta Distribution: A continuous random variable X is said to follow Beta distribution with…

Q: If the random variable x has a Poisson distribution With mean u=6, find the probability that x =17.…

A:

Q: Let Y1, Y2, Y3 be independent binomial random variables with probability of success, p=0.4, and…

A: From the given information, Y1,Y2,Y3 be independent binomial random variables with probability of…

Q: Let X be a random variable for a discrete uniform distribution. If −1≤X≤5−1≤X≤5, what is the…

A: Answer:- Let X be a random variable for a discrete uniform distribution. If −1≤X≤5 what is the…

Q: let X denote a random variable that has a Poisson distribution with mean y = 3 find p(x≥4/x≥2)

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Q: 2n- 50 and p= 0.45

A: Given, Let, n =number of trials p =the probability of success q=1-p

Q: 6. Given a random sample X₁, X2, ..., Xn from a normal distribution with known mean μ = 0 and…

A:

Q: The random variable X has a binomial distribution with n = 6 and p = 0.3. Calculate: P (X 2 5)

A: Givenn=6p=0.3x~Binomial(n=6,p=0.3)P(X=x)=(nx)×px×(1-p)n-x ;  x=0,1....,n

Q: The random variable X has a binomial distribution with parameters n = 8 and p = 0.30. what is…

A: The formula for binomial distribution is, PX=x=nxpx1-pn-x

Q: Let X be a random variable that follows the Poisson distribution with a mean of Find: a. Р(X-0) b.…

A:

Q: Suppose the random variable X has the binomial distribution with parameters n=8 and p=0.67.…

A: We have given that,  The X be a random variable that follows Binomial distribution with parameter…

Q: X is a normal random variable with mean 0 and standard deviation 1. Y is uniformly distributed…

A: We are given the following X~N0,1 & Y~U2X,0fx=12πe-12x2⇒2X<Y<0  or  2Y<X<0

Q: Let the random variable X fit the binomial distribution with parameters (p,N). Find the variance by…

A: Solution : Given : X ~B(p, N) where, p = probability of success N= no. of trials x = no. of…

Q: Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x=4).

A: Solution

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: Let X₁, X2, X3, X4, X5 be an independent and identically random variables following a Binomial…

A:

Q: The expected value of x̄ equals the mean of the population from which the sample is drawn _____.…

A: From the given question, Then expected value can be defined as:

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: Let X and Ybe independent standard Normal random variables. Find the joint distribution of X2 +Y2…

A: From the given information, X and Y are independent standard normal random variables. Given that…

Q: Suppose you have a chi-square random variable, Y, with 10 degrees of freedom. What is the smallest…

A: Given: Y~χ102   PY>k<0.05  ................(1)

Q: Let X and Y have a bivaraite gamma distribution of Kibble with parameters a = 1 and 0<0< 1. What is…

A:

Q: Suppose random variable X has a Poisson distribution with t​ = 2 and λ= 4. What is​ E(X)?

A:

Q: Suppose you have a chi-square random variable, Y, with 20 degrees of freedom. What is the smallest…

A: Solution: Let Y be the chi-square random variable with 10 degrees of freedom

Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

Q: Suppose that random variable X is uniformly distributed over the interval (0,1). Assume that the…

A: X follows U(0,1) Y|X follows B(n, x)   E(X) = ½ E(Y|X) =nx

Q: Q2: What is the expectation and the variance of RV X, where X represents the out come throwing a…

A: If X is the outcome from the throw of a die then there are 6 possible values of X that are 1, 2, 3,…

Q: Let X be the random variable representing the systolic blood pressure (mmHG) in healthy adults. It…

A: Given, Systolic blood pressure follows normal distribution with mean 112 and standard deviation 10…

Q: If the random variable X is uniformly distributed over I V3 сотрute V3 30 and compare it with the…

A:

Q: Suppose that the random variable Y has a binomial distribution with n trials and success probability…

A:

Q: Suppose that X is a binomial random variable with n = 200 and p = 0.4. Find the probability RCX s…

A: Given n =200 ,p =0.4 p( x&lt;=70 ) =?

Q: What is Pr(X = n) for a Poisson random variable with parameter l? What is E(X ) in this case?

A: The parameter of the Poisson random variable is l.

Q: If the time taken to repair a personal computer is a random variable X whose p.d. f is given by · ,0…

A:

Q: X has a random variable with Poisson distribution A = 2. Accordingly, what is the probability value…

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Q: The random variable X has a binomial distribution with n=6 and p=0.3. Calculate P(X greater than or…

A: Given,n=6p=0.3A random variable X~Binomial(n=6 , p=0.3)P(X=x)=6x 0.3x1-0.36-xP(X=x)=6x 0.3x0.76-x  ;…

Q: Y1. Y2. Y, are independent random variables, and .... Y, - Poisson, mean µ,. The fitted values for a…

A: Given the independent random variables Y1, Y2, . . ., Yn and Yi~Poissonμi.

Q: Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)

A: A uniform distribution is a probability distribution that has constant probability. So, it is also…

Q: IfX is a random variable that has a uniform distribution on the interval [o, 10], then pfx+ 10 27 is…

A: Let X be a random variable which has a uniform distribution on the interval [0,10], then the pdf of…

Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

A: Given, X has a binomial distribution with parameters n=15 and p=0.5 Therefore, the probability mass…

Q: x – 0<x < 1 1 < x < 2 diger f (x) = 2.x

A:

Q: Find P(X > 2). Find the probability that there is no vehicle visiting the gas station within 20…

A: It is given that the random variables X and Y are number of vehicles per hour and number of vehicles…

Q: , If continuous random variable X is normally distributed with u = 5625 and o = 875.5, what is…

A: Given that X follows a normal distribution with mean= 5625 and standard deviation= 875.5

Q: For v=1 Probabity distribution of a discrete random variable X is given by x+v fx) = x =1, 2, 3, 4…

A:

Q: Let X be a discrete random variable with PGF P(s) = a. Find the probability distribution of X. b.…

A: * SOLUTION :-    From the given information the answer is provided as follows