Suppose there are two full bowls of cookies. Bowl #1 has 10 chocolate chip and 20 oatmeal, while bowl #2 has 20 chocolate chip cookies and 10 oatmeal cookies. Our friend Bob picks a bowl at random, and then picks a cookie at random. We may assume there is no reason to believe Bob treats one bowl differently from another, likewise for the cookies. The cookie turns out to be an oatmeal cookie. How probable is it that Bob picked it out of Bowl #2?

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…

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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 X and Y have the following joint probabilities: p(1, 1) = 0.30 p(1,2) = 0.20 p(2, 1) = 0.10…

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

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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: The figure shows a composite figure formed by two right triangles, a square, and a circle. Determine…

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Q: Three prisoners are informed by their jailer that one of them has been chosen at random to be…

A: Given information: Total number of prisoners = 3 (A, B and C) Prisoner A asks the jailer to reveal…

Q: Problem. A asserts that he will throw at least one six with six dice. B asserts that he will throw…

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Q: One circular spinner is marked into four regions. Region A has an angle of 100° at the center of the…

A: a) A circle has a total of 360 degrees, so the probability of region A will be = 100/360 = 0.278,…

Q: Suppose you have 3 jars with the following contents- Jar 1 has 1 white ball and 1 black ball, Jar 2…

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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: 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: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability of…

A: There are 3 odd numbers on a die. {1,3,5} The first die can be odd in 3 ways. The second die can…

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: You still have those two boxes. But now, more generally, units manufactured by A are defective with…

A: Solution: From the given information, there are two boxes. Each box has defective and non-defective…

Q: Given two urns: U contains 4 red and 6 green balls and V contains 5 red and 6 green balls. A ball is…

A: Define some events A : a red is selected from U B : a green ball ia selected from U. E : two balls…

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: 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: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B %3D %3D %3D…

A: Solution:- From given information p(A)=0.47p(B)=0.07p(A and B)=0.0329

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

A: Let us define some events A : Bin 1 is selected. B : Bin 2 is selected. E : ball is green. The…

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: There are ten urns of which each of three contains 1 white and 9 black balls; each of other three…

A: Given information: Given that there are 3 types of urns. There are 3 urns in 1st type of urns with 1…

Q: In a​ region, there is a 0.95 probability chance that a randomly selected person of the population…

A: (a) Obtain the probability that all of the 14 selected people have brown eyes. The probability that…

Q: Suppose events B and C are independent and   P(B) =  1 4     P(C) =  1 8 Find the probability.…

A: Given that  The events B and C are independent. P(B) = 14   P(C) = 18   We know that  By addition…

Q: In craps which of the following scenarios is least likely? (Remember, for each roll you're rolling…

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Q: Suppose in Engineering Data Analysis class, there are 20 Civil and 15 Geodetic engineering students;…

A: Obtain the probability that the student is civil engineering or a male. The probability that the…

Q: The records of commercial flights showed that the probability of an aircraft leaving on time is…

A: We have given P( plane departs ) = 0.85P( plane arrive ) = 0.75P( plane departs and arrive ) = 0.6

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

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

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Q: Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500…

A: Given information, p=0.40 n=500 p^=0.44

Q: Suppose there are two full bowls of cookies. Bowl one has 10 chocolate chip and 30 sugar cookies,…

A: From the given information, number of bowls is 2, first bowl having 10 chocolate chip and 30 sugar…

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: Suppose that one variable, x, is chosen randomly and uniformly from [0, 2], and another variable, y,…

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Q: Bag I contains 4 white and 6 black balls while another Bag Il contains 4 white and 3 black balls.…

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Q: 100 students, 60 studied mathematics, 54 studies history, and 30 studies both mathematics and…

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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: If one of them is chosen at random for a world tour to act as Ambassador of Goodwill for new…

A: Given information, a The probability that the person chosen is male given he is employed is,…

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

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

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

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Q: What is the conditional probability that a family with two children has two boys, given they have at…

A: Solution: A family has  two children.  The sample space S is  S = { BB. BG, GB, GG} n(S )= 4 Where…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Thich of the following is a false statement? If two events are dependent, the probability of one…

A: We want to tell you which one is the correct choice.

Q: There is a 0.9985 probability that a randomly selected 30-year-old male lives through the year. A…

A: Solution: Given that, Probability of the 30-year old surviving the year = 0.9985 A life insurance…

Q: From a city population, the probability of selecting a male or graduate is 0.65, a male and a…

A: Given data, P(M or G)=0.65 P(M and G)=0.42 P(M|G)=0.64 P(G')=?

Q: Question 13 O Report A marketing company surveyed a large random sample of teenagers living in a…

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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.