9. There are 12 balloons in a bag: 3 each of blue, green, red, and yellow. Three balloons are chosen at random. Find the probability that all 3 of the balloons are green.

Q: 2. Suppose that 60% of all California motorists are insured. Find the probability that more that 55%…

A: Proportion of motorists that are insured , p0 = 0.6 Here the sample size, n = 100 motorists  Here,…

Q: Suppose that 58% of all students on campus wear glasses. If two students are chosen at random, what…

A: Given that 58%  of all students on campus wear glasses. Sample size, n = 2

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 55% of the people own dogs. There are two people. Let us define the binomial random…

Q: Out of 10 customers in a box 4 are purchased red bulbs, 3 purchased green bulbs and 2 purchased both…

A: Let R be an event that the customer bought a red bulb, G be an event that the customer bought a…

Q: There are 250 brunet, 200 blond, 150 brown-haired, and 80 red-haired people. Find the probability…

A: Solution

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: A box contains 16 yellow, 23 green and 29 red jelly beans. If 14 jelly beans are selected at random,…

A:

Q: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the…

A: Given that a school has 12 good runners of which 5 are girls.  So (12-5)=7 are boys   We can select…

Q: 2. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A: Part (a) Out of total 9 books, three books can be selected in 9C3 ways. Calculate the probability…

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: It is believed that 20% of music teachers in New York own a car. 16 music teachers from New York are…

A:

Q: Suppose that 75% of all college students use TikTok. If 15 are selected at random: a) What is the…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 4. The class is randomly divided between three instructors, with 6 people going to each instructor.…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: A jury of 12 members is to be selected from a panel consisting of 8 men and 8 women. a. How many…

A: Given: Number of men=8 Number of women=8 Total number of Men and Women is, Total member=8+8=16 It is…

Q: If 25% of the bulbs produced by ABC Lighting Company are defective, determine the probability that…

A:

Q: assume there are 1 grey females, 4 grey males, 5 white females, and 6 white males. As in the book,…

A:

Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: A closet contains 8 pairs of shoes. If 4 shoes are randomly sele ted, what is the probability that…

A: A closet contains 8 pairs of shoes. If  shoes are randomly selected. We have to find the probability…

Q: Out of forty student, 14 are taking English composition and 29 are taking Chemistry. If five…

A:

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: A statistics class has 24 students where students work in groups of 4 every week that are randomly…

A: a.   The probability that a student will work in the same group of 4 this week that they did last…

Q: 24. From a bag containing 5 blue balls, 3 yellow balls, and 2 balls, 1 ball is drawn. Find the…

A:

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: A financial services committee had 6060 ​members, of which 1010 were women. If 99 members are…

A: Solution: a. From the given information, a financial committee had 60 members. Among them 10 are…

Q: The Grammar club has 20 members: 10 boys and 10 girls. A 4-person committee is chosen at random.…

A: The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: A committee of 4 is to be randomly selected from 8 women and 10 men. What is the probability of…

A: We want to find probability of having three men on the committee.

Q: A bag contains 7 coins, of which 3 are fair; the remaining coin has a head on both sides. If a coin…

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: A financial services committee had 6060 ​members, of which 1010 were women. If 99 members are…

A: According to the provided information, the committee had 6060 people, of which 1010 were a woman.…

Q: In Electrical Eng. Dept., there are 1000 students, out of which 430 girls It is known that out of…

A:

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: There are total 60 members. Among them 8 were women. So (60-8)=52 are men.We can select any 7 people…

Q: 27. The painted light bulbs produced by a company are 50% red, 30% green and 20%blue. In a sample of…

A:

Q: A family chosen at random has 4 kids (a) what is the probability that there are 2 boys and 2 girls?…

A: Each kid can be chosen in 2 ways (boy or girl)  So 4 kids can be chosen in 24=16 ways  (order of…

Q: Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in…

A: We have given that 8 cards, of which 4 are Red, 2 are Green and 2 are Blue, are placed at random in…

Q: Suppose that 65% of people are voting in the election. If you pick two people at random, what is the…

A:

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: In Electrical Eng. Dept., there are 1000 students, out of which 430 girls. It is known that out of…

A:

Q: A financial services committe had 60 members, of which 9 were women. If 7 members are selected at…

A: Given that, A financial services committee had 60 members, of which 9 were women. So (60-9)=51 are…

Q: There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2…

A:

Q: A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at…

A: It is given that, A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles and we draw 4…

Q: Suppose you randomly choose 4 cards from a standard 52 card deck. (a) What is the probability that…

A: Giventotal no. of cards=52

Q: (a) Suppose that 10 cookies are distributed among 5 distinct children, what is the probability that…

A:

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A:

Q: A jar holds 20 cookies, 14 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: Given a jar contains 20 cookiesNo.of cookies = 20No. of chocolate-chip cookies = 14No.of brussel…

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 33…

A: Use the ‘conditions for normal approximation to the binomial distribution’ to determine whether X…

Q: There are 10 black, 12 red, 14 yellow, 9 green, 8 orange and 11 purple candies in a particular…

A:

Q: 5) Suppose that 14% of people are left handed. If 9 people are selected at random, what is the…

A: Givenp=0.14n=9x~Binomial(n=9,p=0.14)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n