Suppose there are two full bowls of cookies. Bowl one has 10 chocolate chip and 30 sugar cookies, while bowl two has 20 of each. Our friend Fred picks a bowl at random, and then picks a cookie at random. We may assume there is no reason to believe Fred treats one bowl differently from another, likewise for the cookies. The cookie turns out to be a sugar cookie. How probable is it that Fred picked it out of bowl one?

Q: A student has not prepared for an online exam, which contains 10 questions of flash and true, so he…

A: Here given that online exam, which contains 10 questions of false and true. thus probability that…

Q: Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than…

A:

Q: From a group of 3 Indians. 4 Pakistanis and 5 Americans a sub-committee of four people is selected…

A: Given that group consist of 3 Indians, 4 Pakistanis and 5 Americans. A committee of four peoples is…

Q: Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue,…

A:

Q: Suppose there are two full bowls of cookies. Bowl number one has 20 chocolate chip and 30 oatmeal,…

A: Here we have two bowls  Hence p( bob picked out bowl #2) = 1/2             P(bob picked out bowl #1)…

Q: Suppose that the probability of event A is 0.3 and the probability of event B is 0.4. Also, suppose…

A: Consider two events E and F, and P(E) = a and P(F) = b. If E and F are independent events, then #…

Q: If a hockey team wins 60% of their games, what is the probability they win all of their next 3…

A: Given information: Given that the hockey team wins 60% of their games. They plays 3 games.

Q: Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs of which 2 are…

A:

Q: We have a biased coin and a die such that - when we toss the coin, the probability of a head is…

A: If the coin shows head the die is thrown once If the coin shows tail then die is thrown twice

Q: For a certain airline, there is a 75% probability that a given flight will depart on-time, an 80%…

A: Provided information is ; A: given flight will depart on-time. P(A) : Probability that a given…

Q: If the probabilities that Jane, Tome, and Mary will be chosen chairperson of the board are 0.5, 0.3,…

A: The question is about probability Given : P ( Jane will be chosen ) = 0.5 P ( Tome will be chosen )…

Q: For this problem, assume the cooler contains 29 cans, 13 of which are regular, and the rest of which…

A: From the provided information, Total cans = 29 Regular cans = 13 Diet cans = 29 – 13 = 16

Q: Construct a copy of figure 3.16 in your text, where the first outcome is one of X and Y the second…

A: The value of P(A) is computed as follows:

Q: A weighted coin with Pr(H) = 4/5 is flipped two times. What is the probability at least one of the…

A: Given,Probability of a coin with Head which is flipped two times = 45

Q: Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. The…

A: Given that, Bowl contains 3 white, 4 yellow, 5 blue marbles. And Betty pics 4 random marbles.

Q: If the student attends class on a certain Friday, then he is five times as likely to be absent the…

A: Given information: Given that, if a student attends class on a Friday, then he is 5 times as likely…

Q: Peter and Tom are playing a game where each of them alternately chooses at random an integer between…

A: To find: the probability that the first integer selected by Peter is 4-digit number which contains…

Q: For this problem, assume 7 males audition, one of them being George, 5 females audition, one of them…

A: Combination of x items from n observations can be defined  as Crn=n!(n-r)! . r!

Q: You can pick an appetizer from a) Onion Rings, b) Pretzels, c) Buffalo Chicken Wings. Then you can…

A: Given that we can choose one appetizer, one main course, and one dessert. The choices are;…

Q: Suppose there are two full bowls of cookies. Bowl #1 has 10 chocolate chip and 20 oatmeal, while…

A: Given: P (bowl 1) = P (bowl 2) = 0.5 Bowl 1 n (chocolate chips) = 10 n (oatmeal ) = 20 n (bowl 1 ) =…

Q: For this problem, assume that there are 6 men and 4 women on the committee, and that a subcommittee…

A: If there are all the same sex then there can be two outcomes: 1) All the men: We can select 3 men…

Q: A company has developed a test for whether a person has had COVID. If a person has had COVID, the…

A: Given: P+|Covid=0.99P+|Not covid=0.02PCovid=0.20

Q: In the entire group of first-year statistics students, half own a calculator (h), and the rest don’t…

A: Given: Number of students = 4

Q: It is equally probable that the pointer on the spinner shown will land on any one of the six…

A: A spinner numbered through 1 to 6. Red colored numbers are 1, 3, 5 Green colored numbers are 2, 6…

Q: A shipment of 6 items includes 3 that are defective and 3 non-defective, if two items are chosen at…

A: We have to find given probability..

Q: t Dee Dee's Dinette​, the probability that a customer orders coffee is 0.66​, the probability that a…

A: Given : the probability that a customer orders coffee is 0.66 the probability that a customer orders…

Q: Dolly is randomly selecting a new duo of alpaca to pull her wagon.  There are 5 black alpaca, 7 tan…

A: Probability of an event = Number of event divided by total possible outcomes = n/s

Q: A family consisting of three persons-A, B, and C-goes to a medical clinic that always has a doctor…

A: a.The probability that all three members are assigned to the same station can be calculated as:Since…

Q: For this problem, assume that the outcomes 1 through 2 are equally likely, that the outcomes 3…

A:

Q: There are two bags, one bag contains Smarties and the other bag contains M&M's.  The probability of…

A:

Q: A sample of n=36 observations is drawn from a normal population with μ=950 and σ=230. Find each of…

A: μ=950 and σ=230

Q: Suppose that the weather in a certain city is either sunny, cloudy, or rainy on a given day, and…

A:

Q: a belt will fail is .03 and the probability that the agitator will fail is .01. The probability that…

A:

Q: Construct a copy of figure 3.16 in your text, where the first outcome is one of X and Y the second…

A: The general formula for PrE1|E2isPrE1|E2=PrE1∩E2PrE2.

Q: Suppose a committee of 3 people is going to be formed from faculty that consists of 30 professors…

A:

Q: For this problem, assume 9 males audition, one of them being Roger, 4 females audition, one of them…

A: Total males=9 Total females=4 Total children=5 Roles available for male=4 Roles available for…

Q: . The probability that two specified letters will be placed in the correct envelopes is 1[n(n – 1)].…

A:

Q: Consider three boxes containing a brand of light bulbs. Box I contains 6 bulbs of which 2 are…

A:

Q: box contains 4 bulbs of 40W, five of 60W and six of 75W. If two bulbs are chosen at random and at…

A: Given that  A box contains 40W bulbs = 4 60W bulbs = 5 75W bulbs = 6 Total bulbs in box = 4+5+6 = 15…

Q: Gail is taking two courses, Psychology and Engineering.  Student records indicate the probability of…

A: It is given that, There are two different courses, one in Psychology and the other in Engineering.…

Q: There are three dice in a small box. The first die is unbiased; the second one is loaded, and, when…

A: Given: P6 on first | Dice 1=16P6 on second | Dice 2=38P6 on third | Dice 3=27

Q: Suppose that in an assortment of 6 calculators, there are 3 with defective switches. Draw with and…

A:

Q: Given that event E has a probability of 0.67, the probability of the complement of event E _____.…

A: We have given that,  Given that event E has a probability of 0.67, the probability of the complement…

Q: Your friend tells you that she will stop by your house sometime after or equal to 1 p.m. and before…

A:

Q: A player tosses two coins, if two head appears he wins 4, if one head appears he wins 2, but if two…

A:

Q: Suppose that if a person travels to Europe for thefirst time, the probability that he will see…

A:

Q: . A student spins two spinners at the same time. Which of the following statements is true? A. The…

A: There are two odd numbers and one even number in first spinner, and there are one odd number and two…

Q: Suppose you and your roommate use a coin-flipping app to decide who has to take out the trash: heads…

A: For the coin to be unbiased, the probability of getting head and tail should be equal. The coin is…

Q: In a certain university the probability of randomly selecting a student that studies mathematics is…

A:

Q: A group of people were asked if they owned a dog. 276 responded "yes", and 447 responded "no". Find…

A: Given Data: n( yes)=276 n( no)=447   Total=276+447=723

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.