Discrete Probability Distributions: 8. Suppose that two 6-sided dice are rolled. Let a random variable take on the value of an even sum. Hint: this will be a conditional distribution. a.) Find the probability distribution. b.) Find the mean of the probability distribution. c.) Find the variance and the standard deviation of the probability distribution.

Q: (d) At least 13 of them do not use the website.

A: It is given that the number of observations are independent of the probability of success p = 15% =…

Q: Suppose a lie detector test can detect a lie 99% of the time. You get hooked up and tell 14 truths…

A: A lie detector test can detect a lie 99% of the time. you get hooked and tell 14 truths and 17 lies.

Q: A genetic disease occurs in about 1 of every 9000 non-Caucasian births and about 1 of every 210,000…

A: Genetic disease is one of the most common diseases in occuring in about 10F every 9000 non-…

Q: Let X and Y be two independent random variables, and their joint mass function and marginal mass…

A: If X and Y are independentP(X=x,Y=y)= P(X=x)×P(Y=y)

Q: Home Prices A real estate agent compares the selling prices of homes in two municipalities in a…

A: We are going to apply Z test for two means for finding the conclusion

Q: The joint probability mass function of X and Y, p(x, y), as in the following data: Calculate E[X|Y…

A: we have given combine probability mass function of X and Ythen,

Q: An email filter is planned to separate valid e-mails from spam. The word free occurs in 80% of the…

A: The word free occurs in 80% of the spam messages and only 7% of the valid message.14% of the…

Q: Many employers are concerned about employees wasting time by surfing the Internet and e-mailing…

A: Given sample is,133, 82, 97, 123, 109, 131, 77, 120, 84, 132Sample size, n = 10Using formulas,Margin…

Q: A card game consists of 32 cards, among them 4 aces. The player draws four random cards from the…

A: From the provided information,A card game consists of 32 cards, among them 4 aces. The player draws…

Q: A jury pool consists of 26 people, 20 men and 6 women. Compute the probability that a randomly…

A: From the provided information,A jury pool consists of 26 people, 20 men and 6 women.

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: The mean is 200 and the standard deviation is 8.

Q: Assume a population of 46, 50, 52, and 57. Assume that samples of size n=2 are randomly selected…

A: Population : { 46,50,52,57 } Samples of size 2 are randomly selected with replacement from…

Q: a. Check whether the following can be defined as probability mass function, and explain why? X i.…

A: P(X=x) is the pmf iff ∑P(X=x)=1

Q: We have the following information about the random variables X and Y: μx= 4 `, My = 5 Cov(X, Y) = στ…

A: From the provided information,

Q: The TAs invite some other friends to join in on their Barbie watch party. Among the 2 ≤ k ≤ 7 people…

A: This problem is a classic example of a Birthday Paradox or Birthday Problem. The Birthday Paradox…

Q: A sample of 145 products sold at The Yes Buy located at Yonge and Steele has a mean of $67.89 and a…

A: Given information:Sample size (n) = 145Original mean (µ) = 67.89Original median = 56.78We are asked…

Q: Use ordinary induction to prove that $C(n)=2^n+3$ is a solution to the recurrence $C(0)=4$ and…

A: is a solution to the recurrence, and, for all

Q: Suppose that the random variables X, Y, Z have multivariate PDF fXYZ(x, y, z) = (x + y)e−z for 0 0.…

A: the random variables X, Y, Z have multivariate PDFfXYZ(x, y, z) = (x + y)e−z for 0 < x < 1, 0…

Q: Lamar works for NASA designing planetary rovers. For his current project, he has to design a rover…

A: From the given information,the daily high surface temperature of Venus using a normal distribution…

Q: Lie detectors are controversial instruments, barred from use as evidence in many courts.…

A: A3) According to the given information,P(trustworthy) = 95% = 0.95P(polygraph says Lie | Dishonest)…

Q: Age of College Students Find the 90%confidence intervals for the variance and standard deviation of…

A: We have given that Sample size (n) = 29Sample standard deviation(s) = 2.2

Q: iven that X~Normal(μ = 1000, o = 7), what is the (μ-c≤x≤μ+c)=99%? O-12 O-14 O-16 0-18 O-20

A: As per policy we hsved one question for You.  If you want remaining please mention and repost…

Q: A regional automobile dealership sent out fiers to prospective customers indicating that they had…

A: The three different prizes for the customers of an automobile dealership are an automobile , a gas…

Q: For a normal population with a mean of µ = 80 and a standard deviation of σ = 10, what is the…

A: Mean(µ)= 80standard deviation(σ) = 10

Q: A continuous random variable has a Weibull distribution with parameters a = 2 and ß = 12. a)…

A:

Q: Show that the integral of density function for X satisfy - e-(x-µ)² 1²0°²³ dx = 1. 1 +00 |2πσ

A:

Q: 1. Amy has a personal email account and a work email account. 60% of her emails come into her work…

A: It is given that only 1% of the emails in her work account are spam, and 5% of the emails in her…

Q: Three performers are invited to an audition. Assume all three performers arrive on their own. Here,…

A: Identify the random variable: In this problem, the random variable is X, which represents the number…

Q: A credit card company has a 0.01 default rate on its accounts. If 20 randomly selected accounts are…

A: Given information:A credit card company has a 0.01 default rate on its accounts. 20 randomly…

Q: Consider X and Y are joint distributed with PDF f(x,y)=x+y, 0≤x≤1, 0≤y≤1. (d) Find the marginal…

A: We have given that  X and Y are joint distributed with PDFf(x,y)=x+y, 0≤x≤1, 0≤y≤1

Q: CASE: Probability That at Least Two People in the Same Room Have the Same Birthday Suppose that…

A: This is called the birthday problem. It refers to the counterintuitive fact that only 23 people are…

Q: Consider the probability distribution table above. Determine the following: P[X = 1.481] = =…

A: The probability distribution of X is given.

Q: Suppose the random variable, X, follows a Bernoulli distribution with parameter 0. The probability…

A: Given that the random variable, X, follows a Bernoulli distribution with parameter  and the…

Q: Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The…

A: Given that:Arrival rate = 3/hourService rate = 7/hourSince you have posted a question with multiple…

Q: Suppose you flip a fair coin four time. (A) What is the probability you will get all four heads? (B)…

A: A)A fair coin is tossed four times.

Q: Use Venn Diagram to find answer to this question. In a party we have these people: 35 students 30…

A: Let's define two sets:: The set of people who are students. : The set of people who have cars.Given…

Q: Suppose that independent trials, each of which is equally likely to have any of m possible outcomes,…

A: Here the given information is:-Suppose that independent trials, each of which is equally likely to…

Q: To generate leads for new business, Gustin Investment Services offers free financial planning…

A: Each seminar costs Gustin = $3900The average first-year commission for each new account =…

Q: Number of Jobs A sociologist found that in a sample of 50 retired men, the average number of jobs…

A: A sample of 50 retired men is selected.

Q: A contractor has four styles of homes, each with four styles of garages, five styles of decks, and…

A: We have given thatnumber of styles of homes = 4Number of styles of garbage = 4Number of styles of…

Q: Each sample of water has a 10% chance of containing a particular organic pollutant.  Assume that the…

A: n=200, p=10%

Q: Suppose that the probability density function of the random variable X is given by the graph below.…

A: Area of right angle triangle is Area=12×base×height

Q: 2. A vehicle travelling in a minor street arrives at an intersection with a main street. The driver…

A: Given Information:Probability that a vehicle on the main street is a car: P(Car)=0.9Probability that…

Q: High School Dropouts Approximately 12.3% of American high school students drop out of school before…

A: Sample size=n=14Proportion=P=q=1-0.123=0.877

Q: A city’s temperature is modeled as a random variable with mean and standard deviation both equal to…

A: Convert the mean temperature from degrees Celsius to degrees Fahrenheit So, the mean temperature in…

Q: If P(A₁) > 0 and if A2, A3, A4,... are mutually disjoint sets, show that P(A2 U A3 U ... |A₁) =…

A:

Q: At an awards ceremony, ten women and eight men are each to receive an award and are to be presented…

A: Women=10Men=8Total=18

Q: Let X and Y be discrete random variables that take the values 1,2, ... N with equal probability,…

A:

Q: Truck Inspection Violations The probabilities are 0.2, 0.3, and 0.5 that a trailer truck will have…

A: It is given that P( no violation ) = 0.2P( 1 violation ) = 0.3P( 2 or more violation ) = 0.5

Q: A bag contains 3 gold marbles, 9 silver marbles, and 25 black marbles. Someone offers to play this…

A: We have given thatnumber of gold marbles = 3Number of silver marbles = 9Number of black marbles =…