Let X be a discrete random variable with PGF Pr(s) = Find the probability distribution of X. b. Derive the mean and variance of X using its PGF. a.

Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 0.1. What is the probability that A or B…

A: Given,P(A)=0.5P(B)=0.25P(A∩B)=0.1

Q: of measuring surface smoothne nal surface smoothness in code ver the region 0 < x < 4,0 < h that fay…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: If  n(A) = 66, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Givenn(A)=66n(B)=16n(A∩B)=4

Q: (vii) at least one of the car (viii) none of the car.

A:

Q: 1. Find the median of the following: 100-110 110-120 Weekly wages: 90–100 60-70 70-80 80-90 No. of…

A:

Q: Jack and Jill are in an airplane soaring high above majestic Lake Tahoe. Jack is considering jumping…

A:

Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: Here is a bivariate data set. y 55.2 36.1 52.6 4.4 62.1 85.4 58.7 39.5 60.8 51 65.5 64.8 66.1 46.6…

A: x y 55.252.662.158.760.865.566.163.564.669.168.363.955.563.866.1…

Q: Example 23. 80 coins are placed in a straight line on the ground. The distance between any two…

A:

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: Example 9. A Business News channel issued awards to various companies. 38 awards were given on…

A:

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Given that y = ax +b a = -0.791 b = 27.682 r2 = 0.906304 r = -0.952

Q: Activity 2. "Fill Me!" Directions: Fill in the table with the correct answers. Specify the (a)…

A: Given two situations, we have to fill the table with correct answers.

Q: 9. From the following data, find the missing item. X: 110 112 113 117 ? 125 128 130 Frequency: 25 17…

A:

Q: 6. i,How many permutations are required to be sure of predicting the outcome of tossing a six sided…

A:

Q: Consider the probability density function if x 4. Find Var(X). Select one: 171 O O O

A: Given,f(x)=0if x&lt;-2136(8+2x-x2)if -2≤x≤40if x&gt;4

Q: A population of values has an unknown distribution with µ = 124.2 and o Fandom sample of size n =…

A: Given data,μ=124.2σ=58.3n=106

Q: Saved The probability of A is 0.4. The probability of B is 0.5. The probability that neither A nor B…

A: We have given that P(A) = 0.4 P(B) = 0.5 Probability that neither A nor B happens is P(A ∪ B)c = 0.1…

Q: q-1 For borrowers with good credit scores, the mean debt for revolving and installment accounts is…

A: Given that.   X~N( μ , ?^2 )   μ=15015     , ?=3540   Z-score =( x - μ )/?

Q: An urn contains 30 red gumball and 35 blue gumballs. Two are chosen at random, one after the other,…

A: For the given data Find the required probabilities

Q: A box contains 3 white, 2 red, and 5 black marbles. One marble is chosen at random, and it is not…

A:

Q: 5. a) Two hockey teams, Toronto and Calgary are playing for the Stanley cup. Out of a 3 game series,…

A: An event will be the complementary to another event if they refer to the non-occurrence of each…

Q: a. What is the probability that between 65% and 80% of the sampled students support the university…

A: As part of a course project, a student gathers data on a university campus. The data are related to…

Q: Explain the semi average method of trend estimation in a time series and give its merits and…

A:

Q: 2. For the above data draw frequency curve.

A:

Q: Consider the probability density function if x -4 + (x+4)³ Find Pr(X > –1|X < 3). Select one: 18 40…

A:

Q: A random sample of 16 grade 12 students was randomly selected and interviewed, and the number of…

A: Let M denote the sample mean from sample of size n = 16. It is given that Sample size n = 16…

Q: Our department seminar room is lit by 7 light bulbs, controlled by a single switch. A minimum of 3…

A: GivenThe total number of light bulbs in seminar room =7The minimum number of bulbs needed for the…

Q: 5.) Count Your Money Six people were asked to determine the amount of money they were carrying, to…

A: Find Range = ? Standard deviation =?

Q: On a 6 question multiple-choice test, where each question has 5 answers, what would be the…

A: From the provided information, Number of questions (n) = 6 Each question has 5 answers.

Q: There are two random variables X and Y, and their correlation coefficient pX,Y = 0.7. Now, we have…

A:

Q: Q12. In how many ways the letters of the word 'FUNAMBULIST' can be arranged in a circle such that N…

A:

Q: 13. Estimate the number of employees earning at least 63 but less than Rs 75 from the following…

A:

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: Given that    X Y X \cdot YX⋅Y X^2X2 Y^2Y2   5 20.5 102.5 25 420.25   6 21.85 131.1 36…

Q: QUESTION 2 Suppose the random variables x and y are independent and both uniformly distributed in…

A: Suppose the random variables X and Y are independent and both uniformly distributed in the interval…

Q: Assume that a cyan dice and a pink dice are tossed at the same time seven times and their sum of the…

A: When the same random experiment is performed repetitively, it's called repeated trial. In repeated…

Q: 15 Explain the semi average method of trend estimation in a time series and give its merits and…

A:

Q: The average height of 1,000 children is 150cm with a standard deviation of 10cm. How many children…

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

Q: 16. The following table describes speed post rates from 1975 to 1987 Year: 1975 1976 1977 1978 1979…

A:

Q: Example 20. The monthly salary of a person was Rs. 320 for each of the first three years. He next…

A:

Q: pper visi section. Also, let S be the sample space. children's II VI %3D !3! %3D VII VII = VIII =…

A:

Q: Consider a sample with data values of 10, 20, 16, 12, and 17. Compute the mean and median. mean…

A: Given data value is 10,20,16,12,17sample size(n)=5

Q: q1 -For borrowers with good credit scores, the mean debt for revolving and installment accounts is…

A: 1) Given that.   X~N( μ , ?^2 )   μ=15015    , ?=3540   Z-score =( x - μ )/?   NOTE:- According to…

Q: The leading brand of powdered milk in the Philippines has a market share of 45%. A sample of 14…

A: Givenp=0.45sample size(n)=14Let "x" be the customers choose the leading brand of powdered…

Q: Draw and Shade the normal curve, find the percentage of that shaded part and find the number of…

A: GivenMean(x)=480sample standard deviation(s)=50

Q: Example 2. In a class of 50 students, 40 speak Hindi, 20 speak both English and Hindi and all the…

A:

Q: 71 4 36 5 32 6 26 7 18 8 16 9 14 10 8 11 2  Total 500 What is the probability…

A:

Q: A 6-sided die is rolled twice. What is the probability of showing a 1 on the first roll and an even…

A:

Q: Example 7. In a random selection of 64 of 600 road crossing in a town, the mean number of automobile…

A: We have given that Sample size (n) = 64Sample mean (x̅) = 4.2Standard deviations (s) =…

Q: The following odds represent the chance that a football team would win the state championship title.…

A: The probability of event A with odds a : b can be calculated as P(A) = a/(a + b)