A random variable X has following distribution x=x P(X=x) 1 2 3 4 5 k 3k 5k 7k 8k 6K 6 k Then P (2≤x≤5)=

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: he range of the random variable X is (0,1,2,3,x) where x is unknown. if each value is equally likely…

A: Given data, 0,1,2,3,x Mean=6 x=?

Q: Suppose that it is known that the number of items produced in a factory during a week is a random…

A: Given X: Week's Production μ = 50σ2 = 25 ⇒ σ=5

Q: 20 samples from a shipment of 100 items are tested. The total number of defective items in the…

A: Given that 20 samples are tested from 100 items which contains 86 defective items. And X denote the…

Q: A random variable X denotes the number of consumers in a sample of 300 who favor a particular…

A: It is given that X : number of consumers out of 300 who favor a particular product.

Q: If the random variable X is uniformly distributed between 10,000 and 12,000, then what is the mean…

A: From the provided information, X is uniformly distributed between 10,000 and 12,000. X~U (a, b) Here…

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

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

Q: A random variable X can takes values 1,2,3 or 4 with probabilities 0.6,0.2,0.15 and 0.05…

A:

Q: Let X be our random variable of the daily price of gasoline. Give an example of a continuous…

A: DefineX: The daily price of gasoline.

Q: Find the variance of the random variable x ?

A:

Q: Suppose that the random variable has mean and variance o2>0. What are the values of a and b >0 such…

A:

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

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

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: Suppose data X1, ..., Xn are sampled from the population, sample mean is a random variable

A: It is given that Sample : x1, x2,......,xn

Q: Let X1, X2, X3... X20 be a random sample from a distribution with mean 8 and variance 5. Find the…

A:

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: variable Y is twice th

A: It is given that mean of random variable Y is twice the mean of the random variable X. EY=2EX The…

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

A: Hypothesis testing is conducted for the parameters of the population like population mean,…

Q: A discrete random variable X has the mean 6 and variance 2. If it is assumed that the distribution…

A:

Q: Bob plays a game in which a dice is rolled until an odd number occurs. Bob wins 10 – x dollars if x…

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

Q: Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair…

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: X takes values 1, 2, 3, 4 each with probability 1/4 and Y takes values 1, 2, 4, 8 with probabilities…

A: Given:  X=1,2,3,4 P(X=x) =1/4 for all above Xi Y=1,2,4,8 P(Y=1)=1/2, p(Y=2)=1/4, p(Y=4)=1/8,…

Q: Suppose x is a uniform random variable with a = 20 and b = 60. Find the probability that a randomly…

A: From the given information, Consider, X be the random variable that follows uniform distribution.…

Q: Let X be the Random Variable representing the number of boys in families with 3 children. Find the…

A: Solution-: Let X be the Random Variable representing the number of boys infamilies with 3 children.…

Q: The experiment is to toss two balls into four boxes in such a way thát each ball is equally likely o…

A: It is given that the, There are 2 balls and 4 boxes. The experiment is to toss two balls into 4…

Q: The probability of Jack making a free throw is 0.90. Assume one morning, he will attempt 5 shots and…

A: X follows Binomial distribution: X ~ Binomial( n, p)

Q: Suppose that a random variable X can take the values (0, 1, 2 ,3,4,5,8,9} all with equal…

A: Given: Probability distribution of X x p(x) 0 0.125 1 0.125 2 0.125 3 0.125 4 0.125…

Q: Let X is a Gaussian random variable with zero mean an variance o · Y = X. Find mean of Random…

A:

Q: Let x be a random variable that represents the pH of CVS brand water. The mean of this x…

A: The random variable pH level follows normal distribution. We have to test whether the new company’s…

Q: suppose x is a uniform random variable with c = 10 and d = 60. Find the probability that a randomly…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: If the discrete random variable X takes on the values 1 , 2 , 3 and if P ( X = 1 ) = P ( X = 3 ) =…

A:

Q: Two dice are thrown X assign to each point if S the sum of th faces. Find mean and variance of the…

A: Answer: For the given data,

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

A: The conditions for a random variable to follow binomial probability are as follows:The number of…