ommittee of four is chosen at random from a group of 8 women and 5 men. Find the probability that the committee contains at least one man.

Q: Suppose a jar contains 12 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles = 15 Number of blue marbles = 19 Total number of marbles = 34

Q: A committee of three is to be chosen at random from a group of 7 employees consisting of 4 females…

A: The probability that committee will have at least one female =P(at least one female) =1-P(no female)…

Q: Be a batch of 20 defective and 80 non-defective items, of which 2 are chosen without replacement.…

A:

Q: probability

A: Total number of red jelly beans = 11 Total number of black jelly beans = 5 Total number of jelly…

Q: If a fair coin is tossed three times, find the probability of getting heads on the first toss and…

A: Let H be the event that it is heads T be the event that it is tails .   The sample space for a coin…

Q: Suppose a jar contains 5 red marbles and 31 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: Suppose a jar contains 8 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: Given: Number of red marbles = 8 Number of blue marbles = 34 Total number of marbles = 8+34 = 42

Q: If one Person is selected at random from the sample of 157, 330 Americans find a probability that…

A: Given: The contingency table given is as follows   Emotionally well off  Emotionally not well off…

Q: From a coin box containing 4 dimes and 2 nickels, 3 coins are selected at random with replacement…

A: We have to answer basic questions on coins.

Q: Suppose a jar contains 12 red marbles and 17 blue marbles. If you reach in the jar and pull out 2…

A: We have to find out given probabiity...

Q: Suppose a jar contains 16 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

A: Given information : Number of red marbles = 16. Number of blue marbles = 16. Total number of marbles…

Q: If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use…

A: For a random variable,X~B(n,p) , the pmf is P(X=x)=nCxpxqn-x ; x=0,1,2,...n…

Q: )A committee of four is chosen at random from a group of 6 women and 3 men. Find the probability…

A:

Q: A group of students consists of 10 male freshmen, 15 female freshmen, 20 male sophomores, and 5…

A: Given, A randomly selected student can be a female or a freshman. So, these events can occur…

Q: In a bag there are 6 red and 10 black jelly beans.  If 7 jelly beans are selected at random and the…

A: The formula for probability is given as follows. Probability of an Event PE=Number of favorable…

Q: Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2…

A:

Q: From a group of 4 TV critics and 8 movie critics, we randomly select 5 people. If at least 2 movie…

A: Solution-:l We have 4 TV  critics and 8 movie  critics We randomly select 5 people If at least 2…

Q: Suppose a jar contains 17 red marbles and 38 blue marbles. If you reach in the jar and pull out 2…

A:

Q: , find the probability that neither is red.

A:

Q: Suppose a jar contains 648 red marbles and 292 blue marbles.  If you reach in the jar and pull out 2…

A: A jar contains 648 red marbles and 292 blue marbles, there are totally 940 marbles. Two marbles are…

Q: Two students are randomly selected from a class of 12 boys and 9 girls. What is the probability that…

A: Number of boys = 12  Number of girls = 9  Total students = 21

Q: A shipment contains 10 ​igneous, 8 ​sedimentary, and 8 metamorphic rocks. If 8 rocks are selected…

A:

Q: 5 people are to be chosen at random from 5 men and 4 women to form a team. Find the probability that…

A:

Q: Suppose a jar contains 15 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: From the information, there are 15 red marbles and 21 blue marbles. Two marbles at random at the…

Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

A:

Q: Suppose a jar contains 19 red marbles and 38 blue marbles. If you reach in the jar and pull out 2…

A: Given that a jar contains 19 red marbles and 38 blue marbles.  Total marbles = 57 marbles

Q: Suppose a jar contains 6 red marbles and 26 blue marbles. If you reach in the jar and pull out 2…

A: GivenA jar contains No.of red marbles = 6No.of blue marbles = 26Total no.of marbles = 32

Q: A conference is attended by 10 social workers and 4 auditors. If four different participants are…

A: In the given problem we have given that, a conference is attended by 10 social workers and 4…

Q: Suppose five cards are drawn from a deck of cards. Find the probability that all five cards are…

A: It is known that, Number of cards in a deck = 52 Number of heart cards = 13

Q: Two students are chosen at random from a class of 30. What is the probability that both you and your…

A: We will find the solution in the following step.

Q: A three-person committee is chosen at random from group of 5 women and 4 men. Find the probability…

A: Please see the below explanation

Q: A teacher will pick 1 student at random from 100 What is the probability of a student, Jo, of winnir

A: In this question, the concept of probability is applied. Probability The ratio of the number of…

Q: Suppose a jar contains 8 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, Red marbles in a jar = 8 Blue marbles in jar = 37 Total marbles = 8 +…

Q: If three people are selected at random, find the probability that at least two of them have the same…

A: Given: Three people are selected at random. The objective is to find the probability that at least…

Q: Suppose a jar contains 5 red marbles and 20 blue marbles. If you reach in the jar and pull out 2…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A three-person committee is chosen at random from a group of 7 women and 6 men. Find the probability…

A:

Q: In a club with 8 male and 15 female​ members, a 5​-member committee will be randomly chosen. Find…

A: Given  In a club  Number of males = 8 Number of females = 15 Total members= 23

Q: Suppose a jar contains 19 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: It is given that, A jar contain 19 red marbles and 35 blue marbles. Thus total number of marbles in…

Q: A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a…

A: Given: Number of boys = 18 Number of girls = 16 Number of students chosen = 3

Q: If three cards are drawn without replacement from a 52 card deck find the probability that all three…

A:

Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: Given data,Number of students n=100studied Mathematics is n(M)=54Studied History is n(H)=69Studied…

Q: Suppose a jar contains 20 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: Given: Number of red marbles = 20 Number of blue marbles = 21

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: Given that the jar contains marbles of color; 11 red 10 blue Hence we have 11 + 10 = 21 marbles in…

Q: A group of students consists of 10 male freshmen, 15 female freshmen, 20 male sophomores, and 5…

A:

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: Suppose a jar contains 19 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given :   19 red marbles   11 blue marbles     Total marbles =19+11                             =30…

Q: Suppose a jar contains 9 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A:

Q: A committee of 5 people was selected from 6 men and 9 women. If the selection process is random,…

A: Solution

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.