1. The weekly mean income of a group of executives is $1,000 and the standard deviation of this group is $100. The distribution is normal. a. What is the z value for a salary of 875? b. What is the probability that the salary will be larger than 875? Write this out in z notation...P(Z> C. What is the probability that z will be larger than 1.5? or P(Z>1.5) = d What is P(x > 875):

Q: 2-7.5 a communication time to failure (MTF) of 6 years. a) Find the probability that the satellite…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: In which of the following situations we can NOT construct a confidence interval for the population…

A: The confidence interval for population proportion can be constructed using Normal distribution if np…

Q: Consider the pdf g(y) = .06(y² + 1) on -2 ≤ y ≤ 3. (a) Calculate the probability that P(Y > 1). (b)…

A: Given function is g(y)=0.06(y2+1)   ; -2≤y≤3

Q: 0< x < 1, 0 <y < 1, 0<Z, 1 a.) Find P(x<0.5) b.) Find P ( x < 0.5 on 4 (0.8) c.) Find P(x<0.8, 850.9…

A:

Q: You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money…

A: It is given that when a fair coin is flipped she will give you $8 for heads and $⁢22 for tails and…

Q: Problem 1: Let X and Y be random variables with joint density function : {2x² + y³, 0, Find the…

A:

Q: A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.…

A: given data S:{Q,R,S,T,U,V,W,X,Y,Z}select onecard at random P(letter U to Z) = ?

Q: Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean…

A: The mean is 10 and the variance is 25. The standard deviation is √variance=√25=5.

Q: Exercise 2.3.The following table gives the weight (lbs) and age (years) of 4 persons. Amy Bob Chris…

A: Solution: From the given information,

Q: A rondom Variable x takes value X; with Robabilty Pi, with (= 1,... N labelling all possibilities.…

A: A random variable X takes values Xi with probability Pi where i=1,2,....,N The mean value of X is,…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 24 pieces. How many different…

A:

Q: QUESTION 24 In a sample of 25 water specimens taken from a construction site, five contained…

A: Given that Sample size (n)=25 Number contained detectable (X)=5 We have to find 95% confidence…

Q: A lucky draw involves rolling a six-sided dice. If you roll a 6, you will win $300. If you roll a 5,…

A: Given information, A lucky draw involves rolling six-sided dice. The probability of getting any…

Q: Suppose that X has a discrete distribution with the following cumulative distribution function 0.35…

A:

Q: question 7 Box A contains 2 white and 4 Black balls. Another box B contains 3 white and 5 black…

A: Given,Box A:no.of white balls=2no.of black balls=4Total no.of balls=6Box B:no.of white balls=3no.of…

Q: QUESTION 13 An IT technician recorded the time in minutes per user in a random sample of 49 students…

A: Given,confidence interval =(140.2  ,  193.2)minimum value=140.2maximum value=193.2

Q: For parts (a) and (b) below, guess what might be Latifah's rule for the function. In each case, if n…

A:

Q: Compute the marginal distributions p(y). Notes: Marginal probabilities are the building blocks for…

A: It is given that the bivariate distribution p(x, y) of two discrete random variables X and Y.

Q: Use the following data to run a two-tailed t-test in R. Does the mean equal 3? State the appropriate…

A: Test is that whether or not the mean is equal to 3.

Q: The daily electrical energy consumption (in Watts) during July for a random sample of 16 households…

A: given data  n = 16x¯ = 3307s = 327normal diatributionfind lower limit of 95% ci.

Q: Let X be a r.v. with the MGF m(0) = eº², Re(0) € R. What is the pdf of X?

A:

Q: 11. The probability that a mouse inoculated with a serum will contract a certain disease is 0.02.…

A:

Q: If the moment generating function of a random variable X is: (1/3+(2/3)e t ) 5 find P (X > 3).

A: The given moment generating function of a random variable X is 13+23et5.

Q: You are choosing 5 balls from a vase. In the vase there are 10 green balls, 2 blue balls, 6 red…

A: Given that  Total balls = 10 + 2 + 6 + 7 = 25 Green balls = 10 , Blue balls = 2 , Red balls = 6…

Q: The Sorry State Lottery requires you to select five different numbers from 0 through 42. (Order is…

A: The probability of an event is the ratio of the number of cases favorable to that event to the total…

Q: In how many ways can first, second, and third prizes be awarded in a contest with 155 contestants?

A: The given problem can be solved using the permutation. In permutation, order of objects matters. The…

Q: 1. the mgf of X is given by (a) Pr(X ≤ 1) Mx (t) = √e(et-1). (b) V (4X - 9)

A: First we have to determine the probability function by checking the form of given moment genarating…

Q: Suppose Y uni f (0,5). Determine the probability that the following quadratic equation x² + 2xy + Y…

A:

Q: 7.42 "Consider two random variables X and Y whose joint probability density is given by for x > 0. y…

A:

Q: The PDF of a random variable is if z 3 -{ f(x) = 0, A (5+z)² >

A: The pdf of ξ is, fx=0, if x&lt;3A5+x2, x≥3 a. Value of A is obtained below:…

Q: Q#1: The probability density of a discrete random variable X is f(x) = (()*)** Find E(X), E(X²),…

A:

Q: A rondom Variable x takes value X; with Probabil Pi with i=1 labelling all possibilities. The m N

A:

Q: What is the probability of selecting a permutation in which 2 precedes 1? Multiple Choice O 1

A: The probability of favourable outcome can be calculated using the formula, Probability = (Favourable…

Q: you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability…

A: given data, if you randomly select a card from a well- shuffled standard deck of 52 cars,probabilty…

Q: eight distributions are mound-shaped and symmetric. Weights (in lb) of pro football players: x₁; ₁…

A: Given, Independent random samples of professional football and basketball players gave the following…

Q: or their final project, a group of AP Statistics students investigated their belief that female's…

A: Steps of Five-Number Summary for male

Q: Formulate the null and alternate hypotheses for the following situations. (identify the correct…

A: The hypothesized mean is 24°C.

Q: Problem 3. Recall that if X follows a poisson distribution with parameter X, the probability mass…

A: A binomial distribution can be approximated by a Poisson distribution under the following…

Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: We know that,  P(A/B)= P( A n B)/P(B)  A: the sum of dice is 8. B: The outcome is not 4.  There are…

Q: Let the mutually independent random variables X1, X2, and X3 be N(0, 1), N(2, 1), and N(−1, 1),…

A:

Q: Three events occur with probabilities P (E₁) = 0.37, P (E₂) = 0.19, and P (E3) = 0.46. If the event…

A: given data P(E1) = 0.37P(E2) = 0.19P(E3) = 0.46P(E1|B) = 0.21P(B) = 0.33

Q: The following table shows the ethnic origins of two random samples of students from a Canadian…

A: Please note that as per our guidelines I have answered the first two questions. Please repost the…

Q: In a bolt manufacturing factory, there are four machines A,B,C and D, manufacturing 15%, 20%, 30%…

A: Let F= defective…

Q: power II. An Indian company manufacturing bank for WIFI routers (rechargeable with 38,400 mAH…

A: given data  n = 400 x = 60 99% ci for p  α = 1-0.99 = 0.01Zα2 = Z0.005  = 2.576     [from excel…

Q: please help me answer (c) and (d)

A:

Q: The probability that a fisherman catches a tuna in any one excursion is 0.19. What is the…

A: given data  P(catch tuna) = p = 0.19 he catches four extrusions

Q: Find the cumillarve drombuhon hinction (cap) and the probability donorhy function (pop) of the…

A: We have a 12meters rod broken into two parts then we have to find the cdf and pdf

Q: V Use a normal approximation to find the probability of the indicated number of voters. In this…

A: Obtain the probability that exactly 28 of 105 eligible voters voted. The probability that exactly 28…

Q: 3. In how many ways can you pick a 4 digit banking password if: (a) Repetition is not allowed (b)…

A: The number of digits in a password is 4.

Q: An auditor is determining the appropriate sample size for testing inventory valuation using MUS. The…

A: The population has 3140 inventory items valued at $193255,000. The tolerable misstatement is…