An urn that contains 100 balls, 10 red balls, 15 green, and the other 75 are blue. Five balls from this urn are randomly selected. Find the expected number of selected balls are green, given that at least one of the selected is red. a. b. Six balls are selected at random, what is the probability of all of them are blue? A ball is selected and thrown away, then another ball is selected, what is the probability of the second ball is green? C.

Q: A number is selected from the numbers 1,2,3,4.......25.The probability for it to be divisible by 4…

A:

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

A: Solution

Q: a social gathering, there are 21 men, 25 women, 10 boys and 12 girls. If you randomly choose

A: Probability = Number of favourable outcome/ Total number of outcomes

Q: Four item are taken at random from a box of 12 items and inspected. The box is rejected if at least…

A:

Q: 40% of homeowners own AC. If 15 people are selected at random, what is the probability that at most…

A: We have given that the Binomial distribution with parameters p=40%= 0.40 and n=15.   The pmf of…

Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is the…

A:

Q: A company has 12 salespeople and 18 engineers. If a committee of 4 is randomly selected, what is the…

A: given data, 12- salespeople18- engineers30- total persona commitee of 4 is randomly…

Q: There is an 85% chance that a randomly selected person will take their own re-usable bags to the…

A: We have given that p = 85% = 0.85n = 20 Here we will use binomial distribution because probability…

Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: There are 13 Women and 10 men. Five are chosen at random to attend a class. What is the probability…

A: Given that  There are 13 Women and 10 men. 10 men +13( women)=23  5 chose

Q: In a group of 103 students, 34 are diploma level and 22 are bachelor level. Find the probability…

A: Given that Group of 103 students 34 are diploma level and 22 are bachelor level Now, the number of…

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e…

A:

Q: A box contains 5 red, 3 black and 4 oranges balls. Five balls are drawn at a time from the box. What…

A: A box contains 5 red, 3 black, and 4 orange balls. Five balls are drawn at a time from the box.…

Q: There are 6 pink, 5 gray and 6 blue marbles in a jar. If one of these is randomly selected, then…

A:

Q: A jar contains 19 red balls, 28 green balls, and 36 yellow balls. A sequence of three balls is…

A: Number of red balls in a jar = 19 Number of green balls in a jar = 28 Number of yellow  balls in a…

Q: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn…

A: Given data: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be…

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: Four cards are chosen from a standard deck of 5 playing cards with replacement. What is the…

A: Solution-: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is…

Q: A computer randomly generates 9 numbers from 1 to 38 at once. What is the probability that two…

A: To find the probability that two numbers among the nine randomly generated numbers are the same, we…

Q: You pick three colored balls at random successively. What is the probability that the order is pink,…

A: It is given that Number of pink balls = 5 Number of white balls = 6 Number of gray balls = 7 Total =…

Q: . A group of 20 university students contains 8 who are in their first year of study. A student is…

A: Solutuin:- Given that , total number of students =20  in which 8 are in the first year of the study.…

Q: A committee of three people must be chosen from 11 sophomores and 7 juniors. What is the probability…

A:

Q: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.

Q: Find the probability that a randomly selected group of four children will contain exactly three…

A: Given that  Success of probability p =1/2=0.5 Number of trials n=4 X~binomial ( n ,p)

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.