(b) M is discrete random variable that has the expected value 25 and variance 3. Find: i. E(3M +24) ii. Var (2M – 14) + E(4M)

Q: The variance, 6², of a probability distribution is used to describe the spread of the values of the…

A: GivenMean(μ)=E(x)=8 x x-μ (x-μ)2 f(x) (x-μ)2f(x) 4     0.25   8     0.50   12     0.25…

Q: If the variances for independent random variables X and Y is Var(X)=0.15 and Var(Y)=5.62 then Var…

A: Given that  Var(X)=0.15 Var(Y)=5.62

Q: If the variance of x is 4 then the variance of 3 + 5x is (a) 100 (b) 103 (c) 20 (d) 23

A: Step 1:Adding a constant a to a random variable does not change its variance, and multiplying a…

Q: If X is distributed as N(0,2), and Y = 3 + 2X. (a) What is the mean of Y? (b) What is the variance…

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

Q: You are conducting a test of independence for the claim that there is an association between the row…

A: Given that  Observed Frequency table   X Y Z A 31 4 28 B 20 62 25

Q: Q1: Who is mare likely to feel vulnerable after being a victim of a vialent crime? We hypothesize…

A: Solution: The observed frequency table is    Feel Anger Row Race No  Yes Total  White  A…

Q: 4(a). A fair four-sided die has the numbers 1, 2, 3 and 4 respectively on the four faces. Find the…

A:

Q: Assume both follow a Normal distribution. What can be concluded at the a = .01 level of…

A: Given: n1 = 10 n2 = 10 α = 0.01 Formula Used: Test-statistic t = X1-X2sp1n1+1n2 sp =…

Q: A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10…

A: The test is to check whether the variables X and Y are related or not.

Q: If X1, X2, .., Xn are mutually independent normal random variables, with their means all equal to 3…

A: From the given information, E(Xi)=3V(Xi)=10

Q: A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug,…

A: Given that there are 3 samples of rats with n=15 in each sample. That is, k=3 and n=15…

Q: Find E(X) =  Find Var(2X + 100 - 24) =  What is the probability that a child in Sweden can speak…

A:

Q: 3- Assume that you have a random variable X which is binomially distributed, and someone told you…

A: Step 1: Given that x follows binomial distribution with mean 6 and variance =4.2 That is,…

Q: Q3. The moment generating function for a random variable X is e3t M(t)=1-t2¹ What are the mean and…

A: The moment generating functionMx(t)=e3t/(1-t2)    -1<t<1To find mean and variance of X Concept…

Q: Problem 5: Suppose that 70% of men and 30% of women in a state support the incumbent candidate of…

A: Number of men workers = 70% Number of women workers = 30% 500 people are surveyed at random

Q: Consider the rolling of a fair six-sided die, with X the number on the uppermost face. We know that…

A: Consider, The rolling of a six-sided die then outcomes are {1,2,3,4,5,6} We know that, P(x)=16…

Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…

A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…

Q: Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64…

A:

Q: Find " E(2X-1)" Find the variance of X and Var(2x-1)

A: Here total outcomes by rolling 2 dice =6×6 = 36 Here X =  difference of the number on the face of…

Q: Given f(x) = { (x2+1)/30; x = -2,-1,0,1,2  0; elsewhere ] Find the mean and variance of X.

A: X-2-1012f(x)

Q: Solve the two simultaneous equations to show how Q and P depend on u and v.

A: From given information we have given: The demand for a commodity is : Qd=β0+β1P+uWhere,Q denotes…

Q: If E denotes the expectation the variance of a (random variable X is denoted as (E(X))^2 - E(X

A: Given: If E be the expectations then varience of random variable x  Var(x)= (E(x))^2-E(x)  a); True…

Q: Q2// On a certain day an executive received fifteen telephone calls. The distribution of the time…

A: Solution: Let X represent the time spent on a call (in minutes)

Q: 4

A: The value of mean is given as, Ex=1.5. The value of variance is given as, varx=0.25. To determine…

Q: 6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and…

A: Given that Diabetic--- Mean = 126 , variance = 60 Non diabetic --- Mean = 121 , variance = 40 P (…

Q: Task of the day (a) If Z=aX+ bY and r is the correlation coefficient between X and Y, show that…

A: The variance of a random variable X, denoted by Var(X), is defined as a measure of dispersion of the…

Q: The variance of the random variable aX is equal to a times the variance of X.

A: The variance of the random variable aX is equal to a2 times the variance of X i.e.  We have to prove…

Q: What is the formula for the variance? o S? =E (x - X)? / n o S? = E (X - x)? /n o S2 = E (x - X) / n…

A: Variance is one of the measures of dispersion.

Q: Random variable X has cost function 3X + 600. The expected value of X is 20 and the variance of X is…

A: Given: Cost function = 3X + 600 E[X] = 20 V[X] = 4 Formula Used: E(aX+b) = aE[X] + b V(aX + b) = a2…

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: A local library is analyzing the number of books checked out by patrons in a week. The probability…

A: Let X be the random variable which denotes the number of books checked out by patrons in a week. The…

Q: A random variable x follows Binomial distribution with mean 2 and variance 1.2. Then the value of n…

A:

Q: Question 2: The range of the random variable X is [0, 1, 2, 3, x] where x is unknown. Each value is…

A:

Q: (x2) = 375 and (x) = 17; find variance in x (x2) = 1721 and (x) = 31, find variance in (xy) = 27,…

A: Introduction: Variance and covariance are two mathematical terms that are commonly used in…

Q: Which of the following is the proper formula of the variance of variable y shown as 5 (0)²? OA (or)…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: X and Y are random variables that are the same normally distributed variables as in the previous…

A:

Q: In a college,there are 20 major subjects and 40 minor subjects,these are divided into 20 groups of 2…

A: Probability is a branch of mathematics or statistics which is basically deals with the chances of…

Q: I keep getting 675 as an answer but this answer isn't correct. Could you help me solve for this?

A: To find the variance of the random variable Z = 9X + 8Y - 7, we need to use the formula for the…

Q: In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table…

A: Solution: x= The X-Tract Company’s projected annual profit (in $1,000). f(x)=  The probability of…

Q: Find the variance of X + 3Y + Z + 6 in terms of the variances and covariances of X, Y, and Z.

A: Given:  X + 3Y + Z + 6

Q: 3. The amount of time patients spend in a doctor's office, X, is an exponential random variable with…

A: The provided information is as follows:The mean of the exponential distribution is 10 minutes.The…

Q: A recent poll has suggested that 61 % of Canadians will be spending money - decorations, halloween…

A: Answer:- Given, Probability, p = 61% = 0.61 Sample size, n = 23 Let , The count is represented by…

Q: Test the claim that 73% of women shoppers remained loyal to their favorite supermarket in the last…

A: Sample size n =610 Favorable cases x =417 Sample proportion p^=x/n  =417/610 =0.6836