2. Each person in a group of n people chooses another at random. Find the probability: (a) that exactly k people are chosen by nobody, (b) that at least k people are chosen by nobody.

Q: In a class there are 4 students who are 19 years old and obtained 80 pints in the midterm. There are…

A: Given : 4 students of age 19 got 80 points 6 students of age 19 got 50 points 6 students of age 20…

Q: Suppose that on the average, 5 customers arrive at a shop during a 1-hour period. Assume arrival…

A:

Q: Suppose that X₁, X2, X3 are independent and identically distributed random variables with…

A: Given Cdf  F(x)=1-2-x; x≥0

Q: In a survey, 31 people were asked how much they spent on their child's last birthday gift. The…

A: given data n = 31x¯ = 41s = 395% ci for μ = ?

Q: A financial services committee had 60 members, of which 11 were women. If 10 members are selected at…

A: Given;total number of members in a financial services committee = 6060 members = 11 women + 49 menif…

Q: Assume that a sample is used t sample of size 103 with 70 suc decimals (not percents) accura 99%…

A: given data :CI=0.99α=1-0.99=0.01x= no. of success=70n=103p^=Xn  =70103 =0.6796

Q: A fair six-sided die is rolled. Find the probability of getting at least a 6. Note: A standard deck…

A: Given data: A fair six sided die is rolled. To find: The probability of getting at least a 6.

Q: 2. You are drawing cards from a typical 52-card deck of playing cards [4 different suits numbered…

A: Obtain the probability of drawing at least 3 kings when you draw 4 cards into your hand.   The…

Q: The fraction of a large population that has a specific blood type T is .08 (8%). For blood donation…

A:

Q: 7. Let's make a guess for how long we would have to wait to see all the air atoms in a balloon move…

A:

Q: At the height of the Covie-19 pandemic, Mark Lampert and his coauthors compared the search for a…

A: There are about 100 drugs that are now being tested. The probability of success for each drug is…

Q: Flip two fair coins. Find the probabilities of the events. a. Let F = the event of getting at most…

A:

Q: A) A playing card is drawn from a pack of 52 cards. Using a formula, find the probability of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6)  For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) =…

A: From given data we have ; Sol: Given that data P(S1)=0.15P(S2)=0.5P(S3)=0.35   Payoff, table,…

Q: A hat contains four marbles: 1 yellow, 1 red, 1 blue, and 1 green. Two marbles are to be  randomly…

A: Note: As per my policy i can answer only three sub parts. kindly repost the remaining sub parts.…

Q: (1). If we toss a fair coin 3 times, let X and Y be the number of heads and the number of tails…

A:

Q: Example: Hamburger patties are packed 8 to a box, and each box is supposed to have 1 Kg of meat in…

A:

Q: Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of…

A: Given dataSickle cell anemia is an inherited disease in which red blood cells become distorted and…

Q: on a final examination in mathematics, the mean was 72 and the standard deviation was 15. Determine…

A: Concept: Z is known as standard normal variable. Z= (X-mean)/standard deviation

Q: At a police station in a large city, calls come in at an average rate of four calls per minute.…

A: Given that, At the police station in a large city, calls come in at an average rate of four calls…

Q: 4. A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with…

A: As per our guidelines I can solve only first question. Kindly post the remaining questions again and…

Q: Birth weights are distributed normally, with a mean of 3.39kg and a standard deviation of 0.55kg.…

A: Let X be the random variable from normal distribution with mean (μ) = 3.39, standard deviation (σ) =…

Q: Do teachers find their work rewarding and satisfying? An article reports the results of a survey of…

A: From the provided information, nelementary=399xelementary=224nhigh school=261xhigh school=121…

Q: inde- Airlines find that each passenger who reserves a seat fails to turn up with probability…

A:

Q: he heights of NBA players are normally distributed, with an average height of 6'7" (i.e. 79 inches),…

A: given data  μ = 79 inchesσ = 3.5 inchesn = 8P(x¯<81) = ?

Q: The number of bread slices consumed by a bakery on a random day is a random variable with mean = 36…

A: given data  μ = 36σ = 5n = 52P(∑x<1790) = ?

Q: 10 cards numbered 1-10 are Shuffled. The top and bottom Card are chosen. S: Sum of the two cards.…

A: We assume Var(X) is a typo of Var(S) as there is no X in the problem.   Let X be a random variable.…

Q: . A traditional fair die is thrown twice. What is the probability that: a) a six turns up exactly…

A: Given that  A fair die is thrown twice  Sample space = S S = {…

Q: Suppose that X and Y are random variables with joint density function = fx,x (x,y) = 8xy for 0<y< x…

A:

Q: The mean number of minutes for app engagement by a tablet user is 8.2 minutes. Suppose the standard…

A: GivenMean(μ)=8.2standard deviation(σ)=0sample size(n)=70

Q: A researcher must estimate the mean temperature (in degrees Fahrenheit) with the following sample…

A: Data given 35.2,36.1,30.4,23.9,46,46.5,45,28.7,23.5

Q: Suppose that X has density function fx (x) = 2e-2x for x > 0 (and fx (x) = 0 otherwise). - Also…

A:

Q: A personal computer is used for office work at home, research, communication, personal finances,…

A:

Q: There are 32 students in categories A and B combined. Some students are in both, 24 are in A, and 24…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests…

A:

Q: Which of the below-mentioned hypotheses is assumed to be true while we perform a hypothesis test?

A: In the above question, we want to test that mean height is greater than 63 inches

Q: Consider the pmf. $³ Show that P(X = x) is indeed a probability mass function. f(x) = P(X = x) = x,…

A: given pmf;f(x)=P(X=x)=16x,x∈{1,2,3}0,otherwise

Q: Suppose μ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with…

A:

Q: Given that the variances of random variables X and Y are 484 and 625, respectively. The correlation…

A: Given that  Var(X) = 484 , Var(Y) = 625 Corr(X,Y) = -0.52

Q: Buffon's needle revisited. Two grids of parallel lines are superimposed: the first grid contains…

A:

Q: 4. Suppose (X, Y) has joint p.d.f. fx,x(s, t) = le-sμe-μt (a) Compute the marginal p.d.f. of X (b)…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Coliform bacteria occur in river water with an average intensity of 1 bacteria per 10 cubic…

A:

Q: In a particular college class, 60% of the students are female. Fifty percent of all students in the…

A:

Q: At a police station in a large city, calls come in at an average rate of four calls per minute.…

A:

Q: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

A:

Q: The management of the Cambridge Company has projected the sales of its products (in millions of…

A: Given data is Sales 20 22 24 26 28 30 Probability 0.05 0.09 0.36 0.31 0.15 0.04

Q: A fair, six-sided die is rolled. Describe the sample space S, identify each of the following events…

A:

Q: The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place…

A: The total number of entries in the trifecta race is, n = 11 There are three finishers are selected…

Q: A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks. If 6 rocks are selected at…

A: Given information- We have given that a shipment contains 10 igneous, 8 sedimentary, and 8…

Q: Consider a system made up of three distinguishable 3-sided dice. If the macrostate of this system is…

A: When flipping a 3-sided dice, the total outcomes are 63=216 The outcomes for tossing a die are {1,…