In how any ways can you invite two or more but not all of your friends (Alex, Mika, Josh, Gen, Tom, Brad) in a party?

Q: 3.7% of a population are infected with a certain disease. There is a test for the disease, however…

A: event  A : infected person event B : positive test   P(A) = 0.037 P(A') = 1-0.037 = 0.963 P(B|A) =…

Q: 5.1 You roll a pair of dice. What is the joint probability mass function of the low and high points…

A: With 36 elements  The sample space is all pairs (i,j) so that i,j range from 1 to 6

Q: An airport limousine can accommodate up to four passengers on any one trip. The company will accept…

A: We have given that q = 50% = 0.5 p = 1 - q = 1 - 0.5 = 0.5 For part(c) we have given the following…

Q: Conditional probability distribution Y given that X = 0.5 f(x, y) 1/3 1/6 1/6 1/3 fy|x (y) x -1.0…

A:

Q: A group consists of five Democrats and eight Republicans. Seven people are selected to attend a…

A: a. There are five democrats and eight republicans.

Q: Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25 p(v) p(x) Find: (a) a. (b) The marginal probabilities for X…

A: Solution: We need to find the value of constant a and the marginal probabilities for X and Y

Q: of 1000 subjects. (Use 3 decimal places.) (a) P(N)     P(M)     P(S)   (b) P(N | W)     P(S | W)…

A: Given that  W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no…

Q: Consumer Reports rated airlines and found that 79% of the flights involved in the study arrived on…

A: Let  X be the number that will arrive on time from binomial distribution with probability (p) = 79%…

Q: mean of 22.7 servings of beer during the last  month, with a standard deviation of 8.49 servings. A…

A: Given  n1=65, x̄1=22.7, s1=8.49, n2=107, x̄2=19.8, s2=6.21  Level of significance ɑ=0.05

Q: a) The parameter of interest is [Select] >) The null hypothesis Ho : µ alternative hypothesis Ha: C)…

A: Given that  Sample size n =40 Sample mean=12.9 Population Standard deviation =0.3 NOTE:- According…

Q: Please show your work . 9. A man and a woman agree to meet at a certain location about 12:30 PM. If…

A:

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red…

A: given data, a card is drawn from a well- shuffled deck of 52 cards probability that the card is red…

Q: A loss random variable X has a Poisson distribution with a mean of λ. An insurance policy on the…

A:

Q: A company has a policy of retiring company cars; this policy looks at number of miles driven,…

A: Given mean is 44 and standard deviation is 9.

Q: Prove - If X and Y are independent random variables, then E(XY ) = E(X)E(Y ). (You can assume that…

A: Assume that X and Y are two independent discrete random variables.

Q: Somebody claim to have obtained 5250 heads in 10000 tosses of a fair coin. Do you believe this…

A: Introduction: It is needed to determine if the cliam can be believed.

Q: Two distinct numbers a & b are chosen randomly from the set {2, 22, 23,...,225). What is the…

A:

Q: Provide an appropriate answer. Use the following frequency distribution to determine the modal class…

A: 42-48

Q: Let n and m be two integers such that n>m>0. If a bit string of length n is randomly selected, what…

A: solution  current answer is option is c  the required probability  = 2^n-m/2^n

Q: Suppose V~ Geom(p) with p = 0.5 and that W = 2V. Find P(W ≥ 8), giving your answer correct to two…

A: Given that  V~Geom(p), p=0.5 The pmf of V is, P(V=v) = (1−p)v−1p, v=1, 2, 3,.....               =…

Q: Five plants are operated by a garment manufacturer. They feel there is a fifteen percent chance for…

A: Given that n = 5 p = 15% = 0.15 Here we will use binomial distribution because probability of…

Q: Probability; help pls! Exercise 1: Let X be a random variable which, to each man sampled at…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: Create an experimental, discrete probability table by rolling three six-sided dice and calculating…

A: When tossing a six-sided dice 3 times,  The total outcomes is 63=216 The outcomes for the totals…

Q: t 1 JULE SITE 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Sales 7 13 10 4…

A: (a) The objective is to compute the centered moving average values.

Q: Question two In July 2020, during the vaccine rollout for the Covid-19 emergency, it was estimated…

A:

Q: If there are four (4) students namely: Sonia, Yumi, Rin, and Eggy. How many different seating…

A: four students : Sonia,Yumi,Rin,Eggy arrange them in a bench.  sonia always sit firstand Eggy never…

Q: Suppose you have information about average heights of a random sample of airline passengers. The…

A: Given: The mode is 68 inches, the median is 69 inches, and the mean is 65 inches. We need to convert…

Q: Scores on a certain placement examination are normally distributed with a mean of 540 and a standard…

A: It is given that the mean is 540 and the standard deviation is 80.

Q: A. The length of the stem for five roses were measured as follows: 2, 4, 6, 8, 10. The first…

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

Q: C1. Let X be a continuous random variable with PDF f(x) = (2-x) for-1 ≤x≤c and f(x) = 0 otherwise.…

A:

Q: A bag contains four red marbles, two green ones, one lavender one, two yellows, and three orange…

A: Given that A bag contains  four red marbles, two green ones, one lavender one, two yellows, and…

Q: A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If…

A: given data,first prize-1 and get $1000secound prizes-2 and get $300third prizes -20 and get $10if…

Q: Assume that a sample is used to estimate a population proportion p. Find the 80% confidence interval…

A:

Q: Assume that random guesses are made for eight multiple choice questions on an SAT test, so that…

A: given data sample size (n) = 8P9correct) = p = 0.25x = no. of successes(correct)P(x<4) = ?

Q: A box contains 14 large marbles and 14 small marbles. Each marble is either green or white. 7 of the…

A: large small total green 7 5 12 white 7 9 16 total 14 14 28

Q: Q20. A popular app, Zolo, has come on the market for streaming pet-friendly music while others in…

A: A percentage is a number or ratio which is expressed in terms of a fraction of 100. In other words,…

Q: A fair coin is flipped three times. Let X represent the number of heads to occur on the first two…

A: Given:-              A fair coin is flipped three times.  X = number of heads to occur on the first…

Q: Determine whether the argument is valid or invalid. You may compare the argument to a standard form…

A:

Q: a) Determine fy(y) b) Determine E[XY]. c) Determine P[(.5<X)| (0<Y)]

A:

Q: we select a sample of 10 people and ask them to name their favorite TV brand. a) How many of those…

A: It is given that  P( success ), p = 45% = 0.45 Sample size, n = 10 The random variable X represents…

Q: of significance for the given sample data. Assume that the populations are normally distributed. Use…

A: Given that  Sample size n1=27 , n2=19 Standard deviation s1=11.2  , s2=7.1

Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A: According to the given information, we have The normal distribution is used. Mean = 53 Standard…

Q: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.

Q: s it possible for this to be written out thanks

A: a)

Q: The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 3…

A: We have given that data.  68.48 79.88 69.17 84.87 80.59 87.41 100.62 99.59 Sample size n =8

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: 5.61 What is the correlation coefficient of the Cartesian coordinates of a random point (X, Y)…

A: Given that We have to find the correlation coefficient between x and y

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red…

A: To find: The probability that the card  is red or 7.

Q: A private pilot wishes to insure his airplane for $1,000.000. The insurance company estimates that a…

A: We have given that A private pilot wishes to insure his airplane for $1,000.000. The insurance…

Q: A game is played by drawing one card at random from a standard 52-card deck. If the card is a…

A: We have given that the Total number of card in standard deck= 52 If the card is diamond, the player…