Assuming that X is a binomial random variable with n = 4 and p = 0.8, find the probability for each of the following values of X. A USE SALT (a) X = 3 (b) X = 0 (c) X = 1

Q: f x is a binomial random variable, find p (x) for n = 6, x = 3, p = 0.5.

A: Solution: Let X has binomial random variable with parameter n= 6 and p= 0.3 X~B(n=6,p=0.5) The…

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

A: Mean =θ ,

Q: Let Xn Exp(4), n > 1, be independent random variables. Estimate the probability that 1 S100 2

A:

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<z<1.2)   We know…

Q: Let x be a binomial random variable with n = 5, x = 3 and p = 0.75; find P (3) using the binomial…

A:

Q: Let X be a random variable with mean 6 and variance 3. Let Y be the random variable counting the…

A: Given that  E(X) = 6 , V(X) = 3 Let Y be the random variablecounting the number of times the number…

Q: Let X represent the number of heads that can come up when tossing a coin in two cases: twice and…

A: Solution-: We find sample PMF when tossing a coin in two cases: twice and thrice times

Q: Suppose a and b be two possible values of a random variable X with a > b. The probability that X…

A: Given Data: a>b

Q: Find the conditional PDF (and its range) of X given A and the expected value of X given A. Please…

A:

Q: Construct the distribution of the given formula and check if the correspondence can serve as the…

A: Given : P(x) = x+315 for 1,2,3

Q: Value x de X P(X = x) 0.30 2 0.26 4 5 6 0.10 1.

A: We have given that,        X       :-    1        2         3     4       5 P(X= x) :-   0.30…

Q: Let X be a binomial random variable with parameters n = 20 and p ( p is intentionally not given in…

A: From the provided information, Sample size (n) = 20 Since the value of p is not provided therefore,…

Q: If X is a binomial random variable, for what value ofθ is the probability b(x; n, θ ) a maximum?

A: The value of q is given below:

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: 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: 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: Let X be a random variable with a mean of 20 and variance of 4. Then E(3X2 -3 X +2) is O a. -46 O b.…

A: Answer is  (b) 1154

Q: Let X be a binomial random variable. If E(X)=3 and V(X)=1.5, then p(X=2) equals

A: First we have to determine the parameters of Binomial distribution, n and p with the help of E(X)…

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

A:

Q: Let X be a binomial random variable with parameters of 9 and 0.1. Let Y be a binomial random…

A: Given that X+Y=2 So, the possible pairs are (0,2), (1,1), (2,0) So,…

Q: Dispatches to the Miami Coast Guard Search & Rescue Division concern either routine or emergency…

A: Probability            Probability is deals with the random occurrence of events is known…

Q: Let X be a discrete random variable that takes values -1, 0, and 1 with probabilities 0.2, 0.5, and…

A: Given that: X P(X) -1 0.2 0 0.5 1 0.3

Q: Let T be a random variable. If E(T) = a+b0, find an unbiased estimator of 0. Is the mean- squared…

A:

Q: Let X be the binomial random variable B(10,0.6). Find E(X2). O A. 36 O B. 2.4 O C. 38.4 O D. -33.6…

A: The correct answer is option C. Given binomial distribution B10,0.6 Here  n=10p=0.6 The probability…

Q: Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)30.5, P(2)=0.2 and…

A: The discrete random variable X takes only three values 0, 2, and 3. The probabilities are P0=0.5,…

Q: A screening test for a particular infectious disease shows a positive test result in 90% of all…

A:

Q: Let Y be an exponential random variable with (unknown) mean 0.

A: Mean of Y is θ

Q: Let X,, X2, and X3 be independent random variables, each are binomially distributed with n = 100 and…

A: X1,X2,X3 are independent binomial distribution with n = 100, p = 0.2 So,  E(Xi) = np = 100*0.2 = 20…

Q: Let X be a random variable with the following probability |-6 3 9 distribution: 1 f(x) 4 1 1 2 4…

A: Given X is random variable with the probability distribution: x -6 3 9 f(x) 14 12 14 and…

Q: Let x be a discrete random variable that possesses a binomial distribution. Using the binomial…

A: given data ,n= 4p=0.3  x= No . of unitQ=1-p = 1-0.3 = 0.7

Q: Let xbe a binomial random variable with a variance of 0.48, q = 0.6 and n=2. Find E(2x-3) اختر احدى…

A: x~binomial(n,p,q)where n=2  ,  q=0.6  variance=0.48           npq=0.48(2)(p)(0.6)=0.48 ⇒ p=0.4and…

Q: Suppose a and b be two possible values of a random variable X with a > b. The probability that X…

A: Explanation: Cumulative distribution function CDF  gives the area under the curve and represented by…