A certain test contains 10 multiple-choice problems. For five of the problems, there are four possible answers, and for the other five there are only three possible answers. X is the number of correct answers a student gets by pure guessing. Does X have a binomial distribution? No, because there are more than two possible outcomes for each trial. No, because the probability of success for each trial is not the same. Yes. No, because the trials are not all independent. No, because there is not a fixed number of trials.

Q: 1. The chance of success of an event is the square of the chance of a second event but the odds…

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Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Are A and B independent?

A: Given that  P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22

Q: Let A and B be two events on the same sample space. The probability that the event A occurs equals…

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Q: Use the following information to answer each part of this question. For each part of this question,…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: A team’s wins and losses are analyzed as a binomial experiment with p as the probability of success…

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Q: A class is taking a multiple choice test with 10 questions where each question has four possible…

A: The probability that R guesses exactly 8 of the questions correctly is obtained below: From the…

Q: I need help with the following application: Pepsi Pepsi Pepsi Three students volunteer for a taste…

A: The tree diagram is obtained below:

Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

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Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?

A: Solution: From the given information, A and B are two independent events and P (A) =0.60.

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

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Q: A survey shows that about 65% of all respondents chose to have dogs over cats. Suppose that another…

A: Suppose a random variable X, defines that the respondents chose to have dogs over cats.

Q: A team’s wins and losses are analyzed as a binomial experiment with p as the probability of success…

A: A random variable x will follow the binomial distribution if the following conditions are satisfied.…

Q: 7 A multiple choice test has 10 questions each of which has 4 possible answers, only one of which is…

A: Given data  10 questions each with 4 possible answers P(correct answer) = 14 = 0.25 No. of questions…

Q: Color blindness has a rate of about 5% among males.  If you pick a group of 15 males, what is the…

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Q: takes a multiple-choice exam with 12 questions. Each question has only one correct answer out of the…

A: (1)   The Bernoulli trials are choosing the answer for the multiple choice question

Q: A game has three possible outcomes: X, Y, or Z. If P(X) = 0.6 and P(Y) = 0.3, what is the…

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Q: Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute,…

A: The answer can be given by finding the z value.

Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

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Q: The events A and B are mutually exclusive. If P(A) = .33 and P ( B) = .26, what is the P( A or B)

A: Given that  P(A) = .33 and P ( B) = .26

Q: Question A political candidate has asked you to conduct a poll to determine what percentage of…

A: Given that   Margin of error n=0.07 99% confidence interval.

Q: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be…

A: From the provided information, A pair of dice is rolled. Total outcomes = 36 Number of outcomes…

Q: If A and B are independent events P(A) = 0.2 P(A or B) =0.63 Find P(B)

A: Consider, If A and B are independent events, P(A)=0.26 and P(A or B)=0.63

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

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Q: You are taking a multiple choice test that you did not study for. If there are 9 questions, each…

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Q: For one binomial experiment, n, = 75 binomial trials produced r, = 30 successes. For a second…

A: n1 = 75, r1 = 30 n2=100, r2 = 50 level of significance = 0.05

Q: Decide if each of the following statements is True or False. If a sample of n = 10 scores is…

A: Solution: let x1,X2 ....X10 random samples of normal distribution (mean=mu, varience=sigma^2)…

Q: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

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Q: If A and B are two events with P(A) = 0.51, P(B) = 0.23 and P( A and B) = 0.13 What is P(B | A)?

A: A and B are two events with P(A) = 0.51, P(B) = 0.23 and P( A and B) = 0.13

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

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Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…

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