Suppose you pick two cards, one at a time, at random, from an ordinary deck of 52 cards. Find a) p(both cards are diamonds) b) p(the cards have the same rank). discrete structures - probability

Q: All answers were generated using 1,000 trials and native Excel functionality.) The management of…

A: By the given table, we apply in excel of simulation from rand() function as…

Q: Suppose that, for some N, the continuous random variables X₁, X2,..., XN are independently drawn…

A: Given that, for some N, the continuous random variables  are independently drawn from the uniform…

Q: 1.4-2. An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards up. What is the…

A: 1.4-2)We know that,Total number of cards in an ordinary deck, n = 52Total number of 7 card in an…

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Solution

Q: = == e = tutte (-14-t 1 1 24 परे -2/22 TGE и जन = √ZTTC HW Compure this to density function to = Chi…

A: The PDF of a random variable U is given as:Chi-square distribution with n degrees of freedom:

Q: The probability distribution of a random variable X is given below. Given the mean Find the variance…

A: The random variable is x.We have to find the variance and standard deviation.This is probability…

Q: Suppose 5 red and 6 green identical objects are in a jar. A blindfolded person randomly selects two…

A: 5 Red objects6 Green objectsTotal objects:11Two objects are selected without…

Q: Question 4: Bayes' Theorem involves deriving reasonable guesses at probabilities based on…

A: Out of 1000 people total that took COMP2804 last year, 820 passed the final exam. 800 students…

Q: An old deck of cards is missing the King of spades, but has every other card. What is the…

A: An old deck of cards is missing the king of spades but has every other card.

Q: Looking at the Chi-squared Distribution Probability Table (Table A.5 in the back of the textbook or…

A: Given thatu=10=degrees of freedom

Q: f(y) = 0, * y | *y if 0 ≤ y ≤ 5 if 5 ≤ y ≤ 10 otherwise

A: The PDF of the waiting time X is given as:

Q: Jim likes to day-trade on the Internet. On a good day, he averages a $1400 gain. On a bad day, he…

A: Answer On a good day, he averages a 1400 gainOn a bad day, he averages a 700 loss.he has a good days…

Q: Q1: Box 1 contains 1000 bulbs of which 10% are defective. Box 2 contains 2000 bulbs of which 5% are…

A: Box 1 contains 1000 bulbs of which 10% are defective.Box 2 contains 2000 bulbs of which 5% are…

Q: Let {X} be i.i.d. such that X₁~ Pa(4, 1500) and suppose that N(2) ~ Po(100). Find E[S(4)] and…

A: Given that  be iid. such that  and

Q: A multiple-choice test consists of 115 questions with possible answers of a, b, c, d, e. Let us say…

A: Given,Sample size, n = 115Since, each question has one correct answer out of 5 possible answer. So…

Q: Find the minimum sample size n needed to estimate μ for the given values of c, o, and E. c= 0.98, o…

A: The given values are:  and .

Q: Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to…

A: The provided information is as follows:

Q: On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on…

A:

Q: In a binomial situation, n = 5 and π = 0.3. Find the probabilities for all possible values of the…

A: n=5π=0.3A random variable x~Binomial(n=5,π=0.3)P(X=x)=(nx)∗(p)x∗(1−p)n−x;x=0,1,...,n

Q: In a survey regarding same-sex marriages, 13% of a sample of 1025 adults in Country A said that…

A: Given that,For country A:13% of the sample said that same sex couples should not have any legal…

Q: Hello, The site shows two different answers for (a) I would like clarification as to which is…

A: The provided information is as follows:The total number of people in the line-up in a random order…

Q: 14. Find the expected value of a random variable having the following probability distribution: -2 1…

A: Question 14)The probability distribution of the random variable is,…

Q: What range of returns should you expect to see with a 99 percent probability on an asset that has an…

A: Mean Standard deviation The objective is to find the range of returns should you expect to see with…

Q: A bag contains 6 red, 5 blue and 4 yellow marbles. Two marbles are drawn, but the first marble drawn…

A:

Q: A system consists of five components is connected in series as shown below. 5 2 As soon as one…

A: first two component have lifetime that are exponentially distributed with mean 109 weeks last three…

Q: 20. The table below gives the number of days it takes for packages to be delivered from an online…

A: The table below gives the number of days it takes for packages to be delivered from an online…

Q: A simple random sample of thirty-six students has a mean age equal to x = 28.50 years, determine a…

A: a)Suppose that µ is the population mean age of students.

Q: Suppose a random variable X has expected value E[X] quantities. (a) E[X-1] (b) E[X²] (c) E[(X− 1)²]…

A: Note:- Since you have posted a question with multiple subparts we will provide solutions only to the…

Q: In a large population, 51% of the people have been vaccinated. If 4 people are randomly selected,…

A: Number of trail n=4Probability of success p=0.51

Q: Size Cumulative weight (%) 1 2 2 14 5 50 10 80 15 92 40 99.5 60 99.9 Determine if…

A: The given data is of the size and cumulative weight: Size Cumulative weight…

Q: 2. Let U be a uniform continuous random variable on the interval [4, 9]. Let W = 10-2U, and let Y =…

A: U∼Uniform(4,9)Also W=10−2UandY=U

Q: Problem 3. While experimenting with the simulation described in Problem 2, John tries taking 0 ~…

A: Given that John tries to simulate a random variable  from a uniform distribution over  and then…

Q: A company makes electronic gadgets. One out of every 20 gadgets is faulty, but the company doesn’t…

A: Number of gadgets =20Profit =$8Number of faulty gadget =1

Q: What is the probability of flipping a fair coin three times and getting heads on exactly two of the…

A:

Q: Your scores for the 20 surprise math quizzes last semester were (out of 10) as follows. 4.2 9.5 10.0…

A: Given values:4.29.510.03.48.09.57.36.57.08.08.08.57.57.08.09.010.08.57.58.0

Q: A tin of nuts contains 13 cashews, 17 pecans, 28 peanuts, and 34 pistachios. Find the probability of…

A: Given a tin of 13 cashew, 17 pecans, 28 peanuts, and 34 pistachios.Total= 13+17+28+34 = 92.Assume…

Q: Problem 2. John wants to simulate a uniform distribution on the circle of radius R. It turns out…

A: Given that John tries to simulate a random variable from a uniform distribution over  and then…

Q: A coin is tossed, then the spinner shown is spun. The blue segment is twice as big as the yellow…

A:

Q: In the exercise, X is a binomial variable with n = 4 and p = 0.2. Compute the given probability.…

A: From the provided information,

Q: Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have…

A: Given information:

Q: An experiment consists of 8 independent trials where the probability of success on each trial is…

A: We have given the following information:Number of trials: Probability of success on each trial:

Q: The following table shows the breakdown of opinions for both faculty and students in a recent survey…

A: Survey Results on Restructuring Campus to include an Honors…

Q: A   36   year old man in the United States has a   0.215%     risk of dying during the next year. An…

A:

Q: The elevator of a building with a ground floor and two floors makes trips from one floor to another.…

A: Given that an elevator of a building with a ground floor and two floors makes trips from one floor…

Q: Investigators evaluated the effect of education (E1=1 if college or more, E2=1 if Masters degree or…

A: The provided information is as follows:The effect of education is E1 is 1 if the individual has a…

Q: For someone who is 25 years old and adjusting for education, calculate the odds ratio of being…

A: It is required to find the odds ratio of being employed for a 25-years-old and adjusting for…

Q: The following table shows the approximate numbers of school goers in a country (residents who…

A: Solution

Q: Suppose calls are arriving at a telephone exchange at an average rate of one per second, according…

A: Suppose calls are arriving at a telephone exchange at an average rate of one per second, according…

Q: A snack-size bag of M&Ms candies contains 10 red candies, 12 blue, 7 green, 15 brown, 3 orange, and…

A: From the information, given that The total number of red candies=10Total number of blue candies =…

Q: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students