In a group of 21 aliens, there are 6 Cybermen, 7 Daleks and 8 Jovians. (a) Suppose that 5 aliens are randomly chosen without replacement. Find the probability that at most 2 Cybermen are chosen. (b) Suppose that 4 aliens are randomly chosen without replacement and it is known that 2 Cybermen are chosen. Find the probability that at least 1 Dalek is chosen. (c) Suppose that 4 aliens are randomly chosen without replacement and it is known that at least 2 Daleks are chosen. Find the probability that no Jovian is chosen.

Q: In a box of 20 light bulbs, 4 are known to be defective. If 3 bulbs are selected at random, find the…

A: Given that : N = 20 Defective bulb = 4 Sample size (n) = 3 Find p ( x ≥1) = ??  By using binomial…

Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

A: As per given by the question, There are given that a bag containing 21 chocolates, 11 hard candies,…

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: Bag A contains 8 red, 4 green and 3 white marbles and Bag B contains 7 red, 5 green and 3 white. Bag…

A: Bag A:no.of red marbles=8no.of green marbles=4no.of white marbles=3Total marbles=15Bag B:no.of red…

Q: Suppose a jar contains 20 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: General formula of probability is,  Probability =Number of favorable outcomes Total outcomes…

Q: If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the…

A: From the provided information, 1% of an airline’s flight suffers a minor equipment failure that is p…

Q: Of the items manufactured by a certain process, 20% are defective. Of the defective items, 60% can…

A: a. The percentage of defectives in the items manufactured by a certain process is 20%, of which 60%…

Q: Suppose that 10% of a certain batch of calculators have a defective case, and that 12% have…

A: Here we will use addition theorem of probability  P(A∪B)=P(A)+P(B)-P(A∩B) A∪B  denotes A or B ( At…

Q: Among a group of 22 stocks, suppose that 11 will perform above average and the other 11 will perform…

A: Let A be the event of all 4 stocks with above-average performance. Then P(A) is defined as: P(A) =…

Q: A randomly selected family has 3 children. What is the probability that there are 2 girls (given…

A: Let's B is the number of boys and G in the number of girls.The sample space for the 3 childred…

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A:

Q: A pet store has 10 ​puppies, including 3 ​poodles, 2 ​terriers, and 5 retrievers. If Rebecka and​…

A:

Q: At a local high​ school, 15​% of the students have blue eyes. Each​ day, 9​% of the​ blue-eyed…

A: Let event B denotes that the students have blue eyes and S denotes student wear sun glass Given…

Q: A manufacturing machine has a 4% defect rate. If 4 items are chosen at random, what is the…

A:

Q: In a large population, 54% of the people have been vaccinated. If 3 people are randomly selected,…

A: Given that 54% of the people have been vaccinated. There are 3 people in the study. That is, n=3 and…

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 4​% have a smashed​ corner, and 1.1​%…

A: It was stated that the cartons produced by a​ company, 7​% have a​ puncture. The cartons produced by…

Q: A company has 8 mechanics and 3 electricians. If an employee is selected at random, what is the…

A:

Q: An employer wishes to hire 3 people from a group of 15 applications, 8 men and 7 women, all of whom…

A: Given ,        No of men = 8        No of women = 7       Total no of applications =15a) If he…

Q: Among a group of 28 stocks, suppose that 14 will perform above average and the other 14 will perform…

A:

Q: A child is allowed to have 2 treats from a bag containing 21 chocolates, 11 hard candies, and 10…

A:

Q: Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls, and that 2 balls are…

A: Given information- Total number of balls in a bag = 169 Number of red balls = 43 Number of blue…

Q: Suppose a jar contains 5 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given that  The jar contains  Red marbles = 5 Blue marbles = 11 Total marbles = 5 + 11 = 16   We…

Q: what is the probability that the other side is colored black?

A: Our aim is to find the probability that the other side is colored black.

Q: One of two urns is chosen at random with one just as likely to be chosen as the other. Then a ball…

A:

Q: An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the…

A: Solution: As per the guidelines first question should be answered if multiple questions are posted.…

Q: Suppose that two chess players had played numerous games and it was determined that the probability…

A: Let A be the event the game won by player A. Let B  be the event that the game won by player B. Let…

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A:

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Given: p=0.5 (as they are equally likely to win a game as not to win) n=4   Let X~B(n,p)

Q: Suppose that you have a barrel with 7 apples and 8 oranges in it. If 2 fruits are selected, what is…

A: use formula : nCr=n!/(r!*(n-r)!)

Q: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

A: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

Q: A lot of 100 bulbs from manufacturing process is known to contain 10 defective and 90 non-defective…

A:

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A: Solution-: We have, number of black balls =4. Number of red balls =5, Number of green balls =6 Total…

Q: One of two Urns is picked at random (equally likely). Urn 1 has 3 black marbles and 7 red marbles.…

A:

Q: Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a…

A:

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: For the given data Find p ( urn 2 / white ) =?

Q: Suppose that the population of a certain city is 40% males and 60% females. Suppose also that 50% of…

A:

Q: A flashlight has 8 batteries, 4 of which are defective. If 4 are selected at random without…

A: Solution: Given information: Total batteries = 4 defective + 4 non defective =8 Total batteries=8…

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 10​% have a smashed​ corner, and 1.1​%…

A:

Q: A circuit to run a model railroad has 43 switches and 9 are defective. If a person selects two…

A: Given that there are 43 switches and 9 are defective. If the person selects two switches at random.…

Q: At a local high​ school, 15​% of the students have blue eyes. Each​ day, 9​% of the​ blue-eyed…

A: Given : At a local high​ school, 15​% of the students have blue eyes : P(Blue) = 0.15   Each​ day,…

Q: Suppose that a district consists of 100 female voters and 200 male voters. If a group of ten voters…

A: Given problem Given that   Suppose that a district consists of 100 female voters and 200 male…

Q: An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2…

A: An analyst is presented with lists of 4 stocks and 5 bonds. The 2 stocks that will yield the highest…

Q: A manufacturing machine has a 7% defect rate. If 4 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=7% The number of chosen items is: n=4   The…

Q: A box contains 40 batteries, 5 of which have low lifetimes, 30 of which have average lifetimes, and…

A:

Q: One of two urns is chosen at random with one just as likely to be chosen as the other. Then a ball…

A: According to the given information, Purn 1=12 Purn 2=12   Pwhite ball / urn 1=38 Pred ball / urn…

Q: Suppose that one box contains 201 long bolts and 323 short bolts ,and that the other box contains…

A: The probability that bolt is long is calculated by the following formula:

Q: Suppose that 62% of the employees at a company are male and that 35% of the employees just received…

A:

Q: Of the cartons produced by a​ company, 9​% have a​ puncture, 7​% have a smashed​ corner, and 0.5​%…

A: The general formula of probability is given by, P(A or B)=P(A)+P(B)-P(A and B) Given: 9​% have a​…

Q: A committee of 4 is to be selected by lot from a group of 6 men and 4 women. What is the probability…

A:

Q: A bag of 31 tulip bulbs contains 13 red tulip​ bulbs, 8 yellow tulip​ bulbs, and 10 purple tulip…

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.