There are 5 containers arranged on on a ship's deck in a single row.. The containers are of two different types, two of type A and 3 of type B.  The containers of type A are supposed to be  placed in the first 2  spots but since they are randomly placed some type B containers may preceed them.  Let X be the number of  type B containers that preceed the first type A  container. Find  the probability function f(x) of X. What is the expected value of X? What is the variance of X?

Q: The probability of obtaining a head in one toss of a coin is 1/2 and the probability of obtaining…

A: The probability of obtaining a head in one toss of a coin is 1/2  the probability of obtaining two…

Q: An urn contains w, w > 2, white balls and b, b> 2, black balls. Two balls are drawn, one after the…

A: w=white ball and b= black ball where w>2 and b>2 P(first ball is white)=w/(w+b) since the…

Q: Box A has three red balls and two white balls. Box B has one red ball and two white balls.  Suppose…

A: Given that  Box A has three red balls and two white balls. box B has one red and two white balls.…

Q: Gian is a teacher, as per her class rule, the probability of not getting an additional points for a…

A: Let X be the number of students who getting an additional points from binomial distribution with…

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A: This probability problem is a conditional probability or known as Bayes' theorem;Let E1 be the event…

Q: Assume that each child who is born is equally likely to be a boy or a girl. Suppose that a family…

A: Each child who is born is equally likely to be a boy or a girl, Family has 4 children : Possible…

Q: A store opens at 8:00am with one customer in the queue. After every minute, a new customer will…

A: In this problem, we are asked to calculate the probability of having 2 customers in a queue at a…

Q: If in a bag there are 4 whight, 2 black, 3 yellow and 1 red balls and if we take out a ball without…

A: If in a bag there are 4 white, 2 black , 3 yellow and 1 red balls.                  Total = 4 + 3 +…

Q: If in a bag there are 4 white, 2 black, 3 yellow and 1 red balls and if we take out a ball without…

A: If in a bag there are 4 white, 2 black , 3 yellow and 1 red balls.                  Total = 4 + 3 +…

Q: There are 6 clocks in a box, 1 of them made by company A, 3 by company B and 2 by company C. Draw 2…

A: Given the event of drawing 2 clocks from the box without replacement. The box contains 6 clocks, 1…

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Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

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Q: The airport bus starts from the airport and can make 10 stops on the way to drop passengers. On one…

A: Solution :

Q: A sample of 5 light bulbs is drawn from a large collection (large enough to be considered…

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Q: Suppose we draw two tickets from a hat that contains tickets numbered 1, 2, 3, 4. Let X be the first…

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Q: r there are 5 black balls (H) and 3 yellow balls (K). Action 1: Take randomly a ball repeatedly from…

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Q: A math class consists of 25 students, 14 female and 11 male. Three students are selected at random…

A: There are 25 students,14 female and 11 male.Probability that first student being maleWe have to…

Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…

A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…

Q: So, P(A N B) is the probability that both dice show a 5. Of the 36 possible outcomes, there is only…

A: There are total 62=36 outcomes when two 6-sided dice are rolled.We can get (5, 5) for only 1…

Q: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…

A: In the 1950s, a study of 544 adult Americans who died of lung cancer found that 537 were smokers.…

Q: (QUESTS) There are two boxes with marbles. Box 1 contains 5 black and 15 white marbles. Box 2…

A: There are two boxes Box1 B1 and Box2 B2 Box 1 contain total 20 marbles : 5 black and 15 white.Box 2…

Q: - Three boxes numbered I, II, III contain 1 white, 2 black and 3 red balls; 2 white, I black and I…

A: Let us define some events A : ball is from box I. B : ball is from box II. C : ball is from box III.…

Q: factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 7…

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Q: A bag contains 3 white balls, 4 black balls, and 5 red balls. If 3 balls are drawn at random,…

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Q: Suppose there are two bins labeled A and B. Bin A contains 3 blue and 9 red balls, and bin B…

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Q: Construct the joint probability function of x1 and x2.

A: Given : A box contain 10 red ,12 green,14 white identical marbles.        There are 10+12+14=36…

Q: There are two bags containing several colored balls. The bag B1 contains 13 red balls, 18 blue…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…

A: We have to use multiplication theory of probability to find the required probability.

Q: if in a bag there are 4Re, 2 black, 3 yellow and 1 red balls and if we take out a pall without…

A: Answer - If in a bag there are 4 white, 2 black , 3 yellow and 1 red balls.                  Total =…

Q: An item produced by a company is susceptible to two types   of defects namely, A and B. The…

A: Union of Two Events: For any two events A and B, union of A and B, written as A∪B, is defined as the…

Q: finds in a package of Brand X. What is the probability that buyers of Brand X will find X = 0, 1, 2,…

A: Here Given  Fifty out of 1000 cigarettes are rolled up in gold foil and mixed with regular…

Q: Guess that a person workout 6 days in a week. At each working days, he goes for either ‘A named…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. It…

Q: 1) IfX~B(10,0.7), find the probability for P(X=5)

A: Answer: From the given data, X ~ B(10, 0.7) X is a binomial random variable with parameters n = 10…