Suppose that n different balls are randomly distributed in N different compartments. Find the probability that m balls will fall in the first compartment. Assume that all N arrangements are equally likely. n
Q: Assume that the committee consists of 7 Republicans and 6 Democrats. A subcommittee of 5 is randomly…
A: There are total (7+6)=13 persons. We can select any 5 persons from 13 persons in 13C5=1287 ways If…
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A: Probability is a branch of mathematics or statistics that basically deals with the chances of…
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A: We have to use classical probability definition to find the probability.
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A: Number of ways of arranging 4 sticks will be: Total ways = 4! = 24
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Q: A jar contain 3 pennies 2 nickels and 6 dimes. A child selects 2 coin at random without replacement…
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A: Here we need to find the required probability using the binomial distribution.
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Q: Assume that the box contains 10 balls: 2 red, 2 green, and 6 blue. 2 balls are drawn at random, one…
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Q: There are 5 white, 4 black, and 3 red balls in an urn. We select 3 balls at random from this urn.…
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Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…
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Q: Each of the n urns contains 4 white and 6 black balls. The (n + 1)th urn contains 5 white and 5…
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Q: Calculate the probability that at most 2 of the roses were Eden Roses.
A: let Number of eden roses = X
Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…
A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…
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A: We have to use multiplication theory of probability to find the required probability.
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A: * ANSWER :-
Q: An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take…
A: An urn contains 15 balls marked LOSE and 3 balls marked WIN Total = 18 Chuck makes the first…
Q: Assume that the committee consists of 8 Republicans and 7 Democrats. A subcommittee of 6 is randomly…
A: Obtain the probability that the new subcommittee will contain at least 2 Democrats. The probability…
Q: An urn contains 8 white balls and 2 red balls. A second urn contains 3 white balls and 8 red balls.…
A: Given that, An urn contains 8 white balls and 2 red balls. A second urn contains 3 white balls and 8…
Q: An urn consists of 3 green balls, 4 blue balls, and 6 red balls. In a random sample of 5 balls, find…
A: Since you have asked multiple questions, we will solve the first question for you. If you wany any…
Q: three balls are drawn from an urn containing 2 black, 3 white, and 4 red balls. Determine the…
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Q: A class contains 8 boys and 7 girls. The teacher selects 3 of the children at random and without…
A: The probability shows how likely and event occurs.
Q: A ball is chosen at random out of a bowl that contains 3 red balls, 2 green balls, and 1 blue ball,…
A: There are 3 red balls, 2 green balls and 1 blue ball.
Q: Find the probability that in a family of 5 children, there will be at most 2 girls. Assume that the…
A: Solution: Let X be the number of girls and n be the sample number of children. From the given…
Q: Assume that a class has 20 students, in which the students are arranged in a line by the teacher…
A: GIVEN DATA 20students in a class arrange them in a line P(4 smallest students in the line will next…
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- An urn contains 7 balls of which three are red and four are green. Three balls are chosen randomly from this urn. Let X be the random variable that represents the number of green color balls among the randomly chosen balls. Find Var(X) (Correct Upto 2 decimal points).Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without replacement, determine the p.f. of the number of red balls that are obtainedA box contains 3 balls, labeled "1", "2", and "3". Two balls are randomly selected with replacement (i.e., the first ball is put back into the box before the second ball is selected). Let X be the total of the values on the two balls selected. Find P(X ≥ 4).
- A4,,,,Only 70% of the pints of human blood donated at blood banks are suitable for hospital use. The remaining 30% are not suitable due to various infections in the blood. Suppose we randomly choose 18 donated pints of blood from a blood bank. Assume these pints come from randomly selected citizens. Our selections of blood pints are independent from one another. Let X be the number of selected pints of blood which are suitable for hospital use. Let Y be the number of selected pints of blood which are not suitable for hospital use. Let p = the probability of a particular randomly selected pint of blood being suitable for hospital use a. What is the value of p as a decimal? b. What is the probability that X = 12? c. What is the probability that X 12? d. What is the probability that 10 ≤ x ≤ 15? e. What is the expected value of X? f. What is the variance of X? g. What is the probability that all selected pints of blood are suitable? h. What is the probability that Y < 5? i. What is the…In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candi- dates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. a Does Y have a binomial or hypergeometric distribution? Why? b Find the probability that two or more internship trained candidates are hired. c What are the mean and standard deviation of Y?
- A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 14 of these cameras, of which 6 have 3-megapixel resolution. Suppose that 3 of these cameras are randomly selected to be stored behind the counter; the other 11 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 3 selected for behind-the-counter storage. (a) What kind of distribution does X have (name and values of all parameters)? Distribution Parameters O binomial O n = 3 O geometric O p = 3/14 hypergeometric O N = 14 O negative binomial O M = 6 O µ = 9/14 O 2 = 9/28 (b) Compute the following. (Enter your answers as fractions.) P(X = 2) P(X S 2) P(X 2 2) (c) Calculate the mean value and standard deviation of X. (Give your answers to three decimal places.) mean value standard deviation O O Othere is a box with 3 numbers: {1,2, 3}. You are allowed to draw 2 numbers from this box, and if the sum is odd, then you get 1 point. If it is even, you lose one point. With this in mind, Is it better to draw with or without replacement to maximize your probability of winning? from the same question, also provide a generalized explanation/ formula if the box has { 1,2 ... n} numbers.A large bag contains pretzels with 3 different shapes: heart, square, circle . Billy plans to reach into the bag and draw out one pretzel at a time, stopping only when he has at least one pretzel of each type. Let the random variable X denote the number of pretzels that Billy will draw from the bag. You can assume that there is an infinite number of pretzels in the bag with equal proportions of each shape. Find E(X).
- In a manufacturing process, there are an average of 10 defects per 100 m2 on a piece. a) Find the probability that there are more than 2 defects on a randomly picked item measuring 5mx5m. b) If 3 pieces of 5mx10m dimensions are chosen randomly, find the probability that only 1 of them has a maximum of 1 defect.A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 15 of these cameras, of which 6 have a 3-megapixel resolution. Suppose that 5 of these cameras are randomly selected to be stored behind the counter; the other 10 are placed in a storeroom. Let X= the number of 3-megapixel cameras among the 5 selected for behind-the-counter storage. a. What kind of a distribution does X have (name and values of all parameters)? b. Compute P(X=2), P(X≤2), and P(X≥2). c. Calculate the mean value and standard deviation of X.An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that five of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (b) (b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.)