Assume that n > 2 and x E A is a fixed element. How many unordered selections without repeats of k elements from A include the element x?

Q: What is the probability that in a class of 39 people, at least 2 people share the same birthday?…

A: Here use basic probability

Q: In is required to seat five men and four women in a row so that the women occupy the even places.…

A: Given that  In is required to seat five men and four women in a row so that the women occupy the…

Q: 5 among a group of organic pollutants found in a variety of products, such as coola t. Disposal of…

A: Given,  mean (µ) = 48.3 standard deviation (σ) = 5 sample size (n) = 40Let 'x' be a random…

Q: Find the value of the constant c in the given probability mass function. p(x) = if x = -4, –3, -2,…

A:

Q: You pick three colored balls at random successively. What is the probability that the order is pink,…

A: It is given that Number of pink balls = 5 Number of white balls = 6 Number of gray balls = 7 Total =…

Q: Find the unknown in each item. 1. C(8, 3) =. 2. C(n, 4) = 15 3. C(8, r) = 28 4. C(9, 9) = 5. C(n, 3)…

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Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: Given that, In a box having 4 bulbs, the probability of having one defected bulb is 0.5 and the…

Q: en books consisting of 5 mathematics books, 3 physics books, and 2 chemistry books are placed in a…

A: Given: Total books (n)=10number of mathematic books (m)= 5number of physics books (P)= 3number of…

Q: 14. A repairman is scheduled to stop by a customer's house between 3pm and 5pm. The customer got…

A: Here Given A repairman is scheduled to stop by customers house between 3 PM and 5PM. And There is…

Q: If 3 marbles are to be picked randomly from a jar containing 6 red marbles and 8 green marbles, in…

A: If 3 marbles are to be picked randomly from a jar containing 6 red marbles and 8 green marbles, in…

Q: Jac tosses an unbiased coin. If the coin lands with head up on each toss, he wins Php50. However, if…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here use expected value formula

Q: A restaurant prepares a salad serving containing 5 vegetables on the average. Find the probability…

A: A restaurant prepares a salad serving containing 5 vegetables on the average, Probability =?…

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

A:

Q: TOPIC: Combination / Permutation   If there are 5 distinct points on a plane with no three are…

A: In question, Given that If there are 5 distinct points on a plane with no three are collinear. Then…

Q: Test scores for an exam are normally distributed, with a mean of 82 and a standard deviation of 3.…

A: Given: μ=82s=3

Q: i. What is the probability of getting the first "three" in the 6th roll? ii. How many times would…

A: HERE GIVEN, 6 SIDED DIE IS ROLLED, here balanced die  so probability of getting each of the number…

Q: A pair of dice is thrown. If it s known that one die shows a 4, what is the probability that (a)…

A: Given that  A pair of dice is thrown  It is known that one dice shows 4 Sample space=S S={ (1,1)…

Q: A box contains 8 red, 3 white and 9 blue balls. If 3 balls are drawn at random without replacement,…

A: Given that  Total balls=8+3+9=20 Red balls=8 White balls=3 Blue balls=9 3 balls are chosen at random…

Q: INSTRUCTION A.Tell whether each event is certain, impossible or possible to happen. B. Use tree…

A: A dog can never lay eggs.  Statment (i) is impossible. There are 7 days in a week which is true.…

Q: Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly…

A: Given  Population standard deviations σ=6%=0.06, sample standard deviations=s=4.42%=0.0442, level of…

Q: A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior…

A: Given: Total members (n)=10number of seniors (s)=3number of juniors (j)=4number of rookie(r)=3Number…

Q: In a​ lottery, the top cash prize was $675 million dollars, going to three lucky winners. Players…

A: Given that

Q: a) Consider the following probability density distribution of random variable X. if 0<x<6 f(x) = }kx…

A:

Q: Suppose a basketball player is a 73% free-throw shooter and he attempts 10 free throws. a. What is…

A: From the provided information, A basketball player is a 73% free-throw shooter that is p = 0.73…

Q: A raffle is going to be held and which the winner gets $200 if 1000 tickets are sold what is the…

A: According to the given information in this question We need to find the fair value for a ticket

Q: 18. In a recent study the population size was 1000, from which a sample was taken of 30 that gave us…

A: Here population Finite And n/N &gt;0.05 So here use Finite correction factor with MOE

Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

A:

Q: Suppose a classroom teacher must form a committee of 4 people. If the classroom has 25 students,…

A: The no. of people in the classroom is 25 and the committee contains 4 people.

Q: Suppose you purchase for your firm 8 used cars from an auto leasing company that has 30 cars…

A:

Q: Jse the Binomia expression (3x + 2y²)°. Show your work. Theorem to expand the

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Q: Question A political candidate has asked you to conduct a poll to determine what percentage of…

A: It is given that margin of error (E) is 0.07 and the confidence level is 99%.

Q: You toss a fair coin three times, given that you have observed at least one heads, what is the…

A: if we toss a fair coin three times than the possibleoutcomes areTTT, TTH, THT, HTT, THH, HTH, HHT,…

Q: b. Set up intervals of random numbers that can be used to randomly generate the three cost…

A: Given The management of Brinkley Corporation is interested in using simulation to estimate the…

Q: In is required to seat five men and four women in a row so that the women occupy the even places.…

A: Given that In is required to seat five men and four women in a row so that the women occupy the even…

Q: Combinatorics logic Solution with full steps A "quarte flush" is a hand containing four cards of the…

A:

Q: Markov Chain Question: There are three stores, every day Steve will buy something from one of the…

A: Given The number of stores =3Store 1, Store 2, Store 3 Steve went to store 1.The probability that…

Q: 2 Let ξ be an N(µ, σ2)-random variable where µ ∈ R is the mean and σ > 0 is the standard deviation.…

A: From the given information,  ξ be an N(µ, σ2)-random variable. fξ=1σ2πe-12ξ-μσ2 1. Consider,…

Q: 11. How many distinguishable permutations can be made using the letters of the word PARALLEL? * O A.…

A: Solution

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

A: Let A and B are the two events. The union of two events is, PA∪B=PA+PB-PA∩B.............(1)

Q: A coin is biased so that its chances of landing Head is 2⁄3. If the coin is flipped 3 times, the…

A: The outcomes of flipping a coin are Head and Tail.

Q: TOPIC: Probability of Compound Events Show the solutions. Thank you An experiment involves rolling…

A:

Q: average

A:

Q: Getting a defective item when two items are randomly selected from a box of two  defective and three…

A: As per company guidelines I solved only First questions..thank you

Q: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of…

A:

Q: B. Solve. SHOW YOUR SOLUTIONS. The average number of milligrams (mg) of cholesterol in a cup of a…

A: B) Solution: Given information: n= 10 Sample size  μ= 660 Population mean σ= 35 Population standard…

Q: An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to…

A: a)  The simple events in the experiment is (CDP) , (CPD) , (DCP) , (DPC) , (PDC) , (PCD) , where the…

Q: 12. Imagine that the proportion of all e-mails in our training data that are spam is .62, and the…

A: From the given information, the proportion of the emails spam is, P(Spam) = 0.62. The proportion of…

Q: Use the given information to complete the solution of the partially solved Venn diagram. n(A) = 20,…

A:

Q: 3. For her birthday, Karla received a new wardrobe consisting of shirts, 3 pairs of pants, 2 skirts,…

A: given data 5 shirts 3 pants 2 skirts 3 shoes   no. of outfits possible = ?

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination