3. The following table shows the probability distribution of a random variable X. BREED 8. 10 3 7 1 P(x) 16 16 16 16 (a) Find E(X) and Var(X). (b) Find E(5X+3) and Var(5X+ 3).

Q: Q1/ 100 college students were surveyed and asked how many hours a week the spent studying the…

A: Data given   Less than 5 5 to 10 more than 10 Total Male  11 22 16 49 Female 13 24 14 51…

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: If X is a random variable with probability distribution as given below: X P(X) 0 1 2 3 k 3k 3k k…

A:

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A: Given that,  E(X) =-9 , E(Y) =-5, E(Z) =-1 Var(X) =3, Var(Y) =1, Var(Z) =34

Q: A restaurant is interested to see how strong the correlation is between the number of table staff…

A: Solution: 15. From the given information,

Q: Exercise 4. Let = {a,b,c,d} and define a probability measure on 22 by P(a) = P(c) = 1/6 and P(b) =…

A: c) To verify that E(X|Y) is a function of Y, we need to show that the value of E(X|Y) only depends…

Q: nut Is the probability that the construction stage is over budget? I IIi the event the construction…

A: Given: State Number of companies California 53 Illinois 32 New Jersey 21 New York 50…

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: a. Compute E(y) (to 1 decimal). b. Compute Var(y) and o (to 2 decimals). Var(y)

A:

Q: From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 5 pieces of…

A: 0.070Explanation:Step 1:  correlation coefficient  between X and Y is given by…

Q: In a school sports day, each student is required to join at least one event. The following table…

A:

Q: Let X and Y be independent random variables such that E(X)=2, E(Y)=2, var(X)=2, and var(Y)=2…

A: We know that, If X and Y are independent random variables.  Var(X+Y)= Var(X)+ Var(Y)

Q: Q4. The following table shows the probability mass function for the discrete random variable X: k 2…

A:

Q: In an international school, each staff has to take place in at least 3 community services in a year.…

A:

Q: For an experiment, roll 2 fair dice. Let the random variables, X = sum of the 2 dice  Y = larger…

A: For an experiment, roll 2 fair dice.Let the random variables, X = sum of the 2 dice Y = larger value…

Q: Here's a discrete probability experiment: a college instructor keeps track of the number of students…

A: We have given that probability distribution table X P(X) 0 0.25 1 0.15 2 0.25 3 0.25

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A:

Q: (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take…

A:

Q: 2. Let X be a random variable with p.m.f., (1+x? 20X = -1,0,1,2,3 0 ,otherwise. f(x) = Find E(3X² +…

A: Given function isf(x)={1+x220,    x=-1,0,1,2,30         ,   otherwise