You are conducting an experiment where a bucket is filled with 11 fluffy hamsters and 7 spiky sea urchins. You blindly reach into the bucket, grab an animal at random, and record which animal it was. After each trial the animal that you grabbed is removed from the bucket. What is the probability that you will grab a sea urchin on your first 3 trials?

Q: A four-person is selected at random from a population of 14 men and 16 women. What is the…

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Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

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Q: a new surgical procedure in preliminary trials has a probability of success of 80%. if 10 patients…

A: Let X denote the patients are scheduled to go through this procedure and it follows binomial…

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: There are 5000 people in a village. 2000 were diagnosed sick. I am wrong 20% of the time. If you are…

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Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: A college has a population that is 39.6% female and 60.4% male.  If 5 students are picked at random…

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Q: In a town, 61% of adults have health insurance. What is the probability that 5 adults selected at…

A: The binomial distribution is a discrete probability distribution. It has n independent Bernoulli…

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

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Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: There are 14 fish in a pond: 7 trout, 4 bass, and 3 sardines. If I fish up 5 random fish, what is…

A: Given, Total number of fishes in a pond =14 Number of trout fishes in a pond =7 Number of bass…

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: In a large town, previous records indicate that 40% of all high school graduates go to college. 30…

A: From the given information, n=30 and p=0.40.

Q: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: You have a box of chocolates that contains 53 pieces of which 33 are solid chocolate, 16 are filled…

A: Here, we have 33 solid chocolate piece,16 filled with cashews and 4 filled with cherries. We have a…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A: Given that,  5 students play soccer  5 students not paly soccer  Total students =10 students

Q: 3 An animal shelter has a 61% adoption rate for puppies. Of all puppies in the shelter, 77% live to…

A: The probability of selecting two items whos individual probability are p and q is given by; P(x)=p·q

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

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Q: A city council consists of 4 democrats and 6 republicans. A committee of 3 to study transportation…

A: We have given that Number of democrats = 4 Number of republicans = 6 Total number= 4+6 = 10

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: adrian has 5 keys on a key chain and one of the keys is used to unlock his office door. if adrian…

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Q: I have 1 grey female, 5 grey male, 2 white female, and 2 white male mice. A biologist chooses 2…

A: From the given information, there are 1 grey female, 5 grey male, 2 white female and 2 white male…

Q: Nasa needs to select a 7 person crew for a space mission from 43 applicants of whom are 21 women.…

A: Given data: the total numbers of applicants are n=43. The numbers of persons selected for space…

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: You have a homework assignment that contains 12 questions. Your instructor will grade a set of 5…

A: Given: Total number of questions, n = 12            5 questions would be graded Part 1: The total…

Q: a small private school, 4 students are selected from 16 available students. What is the probability…

A: Given data, Total Number of students n=16 Number of students selected is r=4 What is the probability…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5.  After a number is…

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…

Q: A four-person committee is randomly selected from a pool of 19 Americans and 131 Canadians. What is…

A: Given: Number of Americans =19 Number of Canadians =131

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: A history class is comprised of 9 female and 5 male students.if the instructor of the class randomly…

A: There are 14 students in the class (= 9 female + 5 male).

Q: don’t know yet which Biology Professor and Biology Laboratory Assistant you will get. You like…

A: Given,Total number of professor, n(P) = 10Total number of biology laboratory assistant, n(A) = 5The…