Example 7: If 3 balls are distributed to 4 cells, numbered as 1, 2, 3, 4. Find the probability that each cell numbered 1, 2, 3 will contain exactly one ball.

Q: A class contains 16 boys and 10 girls of which half of the boys and half of the girls are fat. Find…

A: Given,no.of boys=16no.of girls=10no.of fat girls=8no.of fat boys=5Total no.of students=26

Q: Suppose that three jars contain colored balls as described in the table below. Red White Blue Jar 1…

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Q: In a chocolate factory, 30% of all chocolates made contain caramel in the center.  (a) What is the…

A: Let chocolate made containing caramel be considered a success. Thus, p = probability of success =…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B…

A: Number of type A balls = 8 Number of type B balls = 5 Number of type C balls = 3 Total number of…

Q: 1 freshman, 1 sophomore, 1 junior, and 1 senior are selected at random from the GMU student body.…

A: GIven, There is 1 Freshman, 1 Sophomore, 1 junior, and 1 senior. Each has a 50% probablity of being…

Q: If 4% of the population is color-blind, what is the probability that a group of 30 people, at least…

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Q: The probability that exactly 2 of the rocks are sedimentary is

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Q: At a certain college, there were 400 Engineering majors, 300 Science majors, and 100 Mathematics…

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Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: Example 19: A box has 6 red balls and 4 black balls, if two balls has bęen dráwn Cophelj しい one by…

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Q: Example 5: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If…

A: Answer: From the given data,

Q: If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a…

A: Given: Proportion if defective bulb =0.03 Number of bulbs (n) =100 In this question we will use…

Q: A bag contains 3 black, 4 red, 3 yellow, and 2 green marbles. What is the probability of drawing a…

A: ANSWER :

Q: Suppose that there are four companies competing for five different government contracts. If the…

A: Introduction:The probability of an event in an experiment is the number of outcomes favorable to the…

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: Example 1: A pack contains 4 blue, 2 red and 3 black pens. If 2 pens are drawn at random from the…

A: Given data: A pack contains 4 blue, 2 red and 3 black pens.

Q: Example 2: Consider another example where a pack contains 4 blue, 2 red and 3 black pens. If a pen…

A: Given , pack contains 4 blue, 2 red and 3 black pens.

Q: (a) Consider three classes, each consisting of 20 students. From this group of 60 students, a group…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is…

A: given that,  5 red balls 6 blue balls 8 green balls total number of balls = 19 we have to choose 3…

Q: Q2:- A bowl contains three M&Ms, one red, one blue and one green. A child selects three M&Ms at…

A: Given : Bowl contains 3 M&M's Number of red=1 Number of blue =1 Number of green =1

Q: A student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Given that, a student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans.…

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

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Q: 45% of the population has Type o blood.  Find the probability that exactly 6 people in a group of 10…

A: The binomial probability rule states that the probability of (x) success and (n-x) failures in (n)…

Q: A group consists of 6 men and 6 women. Four people are selected to attend a conference. In how many…

A: We have given that a group of 6 men and 6 women . 4 people are selected to attend a conference.…

Q: A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the…

A: Given: Average number of hurricanes in a year λ=6 Let X be the Poisson variable representing number…

Q: A spinner is split up into 4 colored areas of the same size: red, blue, green, and yellow. The…

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Q: A spinner is split up into 4 colored areas of the same size: red, blue. green, and yellow. The…

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Q: 2) A committee of 8 is to be selected from 10 Biologists, 12 Chemists, and 14 Mathematicians. What…

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Q: In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of…

A: Given Information: There are 18 Juniors, 10 seniors in a statistics class. 6 of the seniors are…

Q: According to a survey, 67% of the students at Delta own a calculator. A group of 9 students is…

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Q: Example: 8AFind the probability of selecting 4 marbles from a bag of 3 red marbles and 7 blue…

A: Given 3 red marbles 7 blue marbles

Q: A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 5 rocks are selected at…

A: Given data: The numbers of igneous rocks are i=9. The numbers of sedimentary rocks are s=7. The…

Q: Suppose that a single dice with 21 sides (numbered 1,2,3,...,21)is rolled once. What is the…

A: Given information: A single dice with 21 sides is rolled once. The N = 21 sides are representing the…

Q: A box contains 16 colored mugs: 4 red, 6 yellow and 6 green. Draw two mugs in succession without…

A: Given that, Total colored mugs = 16Red mugs = 4Yellow mugs = 6Green mugs = 6

Q: A bag contains 7 white and 9 black balls. The balls are drawn in succession at random, what is the…

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Q: 1. A jar contains marbles with the following colors: 3 red, 5 blue, and 2 green. What is the…

A: A jar contains Red colour marbles = 3 Blue colour marbles = 5 Green colour marbles = 2 Total marbles…

Q: At a college, 60% of the students are women. If we select 7 students at random, what is the…

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Q: Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the…

A: Let X be the number of reading the news paper  p be the probability of the people reading a news…

Q: According to Wealth committee data, 0.3% of people have anemia. If 2000 people are randomly…

A: Given,n=2000p=0.003here n value is very large and p value is very smallso, binomial distribution…

Q: A jar contains 5 red and 8 white marbles.  If two marble is drawn from the jar at random, what is…

A: The jar has 5 red and 8 white marbles. So, the total number of marbles in the jar is 5+8=13. Two…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: Given: n(S)=52 a) The probability of getting An 8 of Hearts is obtained below: PAn 8 of Hearts=nAn 8…

Q: If 60% of all women are employed outside the home, find the probability that in a sample of 20…

A: Given,         n=20         P= 0.60         q=1-p=1-0.60=0.40       PX=x=nCx Px1-Pn-1;…

Q: (d) If five balls are selected without replacement. What is the probability that we get three red…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34…

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Q: At a college, 68 % of courses have final exams and 43 % of courses require research papers. Suppose…

A: At a college, 68% of courses have final exams and 43% of courses require research papers. Suppose…

Q: A certain area of the eastern United States is, on average, hit by 6 hurricanes a year. Find the…

A:

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.