Suppose we toss n balls into n bins one at a time uniformly at random.  a.) What is the expected number of balls in the first bin? b.) What is the probability that every bin gets a ball?

Q: Assume that 15​% of people are​ left-handed. Suppose 12 people are selected at random. What's the…

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Q: Based on a​ survey, assume that 27 ​% of consumers are comfortable having drones deliver their…

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Q: Suppose we have n + m servers, of which n have Intel CPUS and m have AMD CPUS. Suppose also that…

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Q: Assume that when adults with smartphones are randomly​ selected, 42​% use them in meetings or…

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Q: Suppose we toss n balls into n bins one at a time uniformly at random. (a) What is the expected…

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Q: There are 5 coins in a bag: 3 weighted coins with Pr[H] = 8/9 and 2 fair coins. One is chosen at…

A: Two cases can occur while choosing a coin.  We can pick either a weighted coin or we can pick a fair…

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A: Note: According to our guidelines we are solving only first three sub-parts of a question and the…

Q: According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 2 adults at…

A: According to popular beliefenjoy adults drinking beer=80%P(enjoy drinking beer)=0.80

Q: find the probability that exactly 2 of them say job applicants should follow up within two weeks.

A: Let p be the probability that human resource managers say job applicants should follow up within two…

Q: In an exam, 15% got an “B” mark, 10% get a “A”, and the other 75% get below that. Six students from…

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Q: a card is selected at random from a standard deck of playing cards.  Compute the probability that…

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Q: Suppose, a telephone exchange becomes very busy at a certain time of the day which is known as a…

A: Given,p=0.07q=1-pq=1-0.07=0.93A random variable X~Geometri distribution(p=0.07)P(X=x)=0.070.93x-1…

Q: Assume that when adults with smartphones are randomly​ selected, 44 ​% use them in meetings or…

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Q: Based on a​ survey, assume that 45​%of consumers are comfortable having drones deliver their…

A: From the given information,45% of consumers comfortable having drones deliver their purchases.That…

Q: A box contains eight different pairs of shocks. If four shocks are chosen at random without…

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Q: Suppose that in a certain metropolitan area, 9/10 households have a blu ray player. Let x denote the…

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Q: find the probability that exactly 2 of them use their smartphones in meetings or classes.

A: Let p be the probability that a student use smartphone in meetings or classes. Given that p= 54% =…

Q: Find the indicated probability. A bin contains 64 light bulbs of which 10 are defective. If 5 light…

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Q: The probability that a certain machine turns out a defective item is 5%. Find the probability that…

A: The probability that the item is defective is 0.05. Sample size = n = 75.

Q: Suppose Nate wins 36% of all staring contests. (a) What is the probability that Nate wins two…

A: Given Information: Nate wins 36% of all staring contests.

Q: (i) If n balls are put at random into n boxes, what is the probability of exactly one box remaining…

A: We have to put n balls into random n boxes such that exactly one box remains empty.  Total number of…

Q: two regular six sided dice are tossed.  compute the probability that the sum of the pips on the…

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Q: 16. A bag contains 10 white balls and 5 black balls. If 3 balls are drawn in succession without…

A: We have find given probability.

Q: According to a​ survey, ​26% of residents of a country 25 years old or older had earned at least a​…

A: We have, p^=26100=0.26 a From the study to have at least 10 people to earn at least bachelor…

Q: Assume that you have 5 red balls and 10 blue balls from which randomly to select two without…

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Q: A box containing 5 red balls and a number of white balls. Two balls were withdrawn randomly with…

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Q: car

A: To find the probability of a selected card from a deck of playing cards is 6.

Q: An urn contains 8 blue balls, 1 green and 1 white ball. Suppose you independently draw 11 balls,…

A: Given data: The numbers of blue balls are B=8. The number of the green ball is G=1. The number of…

Q: Suppose that colored balls are distributed in three indistinguishable boxes as follow: A box is…

A: Given,     BOX       1 2 3 TOTALS Red 2 4 3 9 Green 3 2 4 9 white 2 5 3 10 TOTALS 7 11…

Q: The accompanying table categorizes the number of wins and losses by the number of turnovers made by…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: Suppose that a card is picked at random from a deck of car Given that the card is a black card, find…

A: Given that, that a card is picked at random from a deck of car Given that the card is a black card.…

Q: Assume that you have 10 mice in the cage: 3 white males, 5 gray females, and 2 gray males. Two mice…

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Q: If a permutation is chosen at random from the letters "AAABBBCC", what is the probability that it…

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Q: Three light bulbs are chosen at random from 15 bulbs of which 5 are defective. What is he…

A: Introduction :

Q: Suppose I randomly throw 10 balls into 4 bins (where each ball is thrown independently and uniformly…

A: Number of balls: m=10 Number of bins: n=4 (a) What is the expected number of empty bins: The…

Q: In a survey, 63% of Americans said they own an answering machine. If 19 Americans are selected at…

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Q: A die and an equal n-segment colour spinner (with n-different colours) are spun simultaneously. The…

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Q: 84. An urn contains 3 one-rupee coins, 5 fifty paise coins and 12 ten-paise coins. If a coin is…

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Q: Now assume that all the fish in the database are in the same tank and that 20% of them are arctic…

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Q: Find the probability that in 5 tossings, a perfect coin turns up head at least 3 times in…

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Q: Assume that you have 9 red balls and 8 blue balls from which randomly to select two without…

A: Given data; The given numbers of red balls are r=9. The given numbers of blue balls are b=8. Write…

Q: According to a survey, 25% of residents of a country 25 years old or older had eaned at least a…

A: We have, p^=25100=0.25 a The expected number of residents of the country 25 years or older is p^≥10n…

Q: If 825 random digits are taken from a random number table: (a) What is the approximate probability…

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Q: A drawer contains eight different pairs of socks. If six socks are taken at random Q.1. and without…

A: Given,8 different pairs of socksi.e 16 socks.