On a test, there are 10 true/false questions, 6 multiple-choice questions, and 4 short essay questions. If students must choose any 6 questions to answer. what is the probability a student chose 2 true/false, 3 multiple choices, and 1 short essay question? Explain your answer and show work.

Q: you randomly draw a marble from a bag of marbles that contains 8 blue marbles , 5 green marbles ,…

A: From the information, 8 blue marbles , 5 green marbles , and 8 red marbles. The total number of…

Q: There are 5000 people in a village. 2000 were diagnosed sick. I am wrong 20% of the time. If you are…

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Q: Find the probability of choosing a letter other than the letter L from a bag that contains the…

A:

Q: A quiz consists of 10 multiple-choice questions each with 4 possible choices. For someone who makes…

A: Solution: Let X be the random variable that the number of correct answers in a quiz. n= 10 total…

Q: Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select…

A:

Q: A quiz has 10 multiple choice questions with 3 choices for each question. Answer the following for…

A: Given sample size(n)=10Probability of getting correct answers(p)=13         (one correct answer from…

Q: Multiple-choice questions each have 4 possible answers, one of which is correct. Assume that you…

A: There are 3 multiple choice questions and each question has 4 possible answers among which only one…

Q: In MATH, there were 2 assignments this semester. The probability that you would NOT get above…

A: Given The probability not get above average mark in first assignment is P(A)=0.3. The probability…

Q: Suppose a number x is chosen from the numbers -3, -2, -1, 0, 1, 2, 3. What will be the probability…

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Q: Suppose you roll a red number cube and a yellow number cube. Find P(red 2, yellow 2) and the…

A: There are two cubes, with red colour and yellow colour.

Q: Exactly one of three contestants will win a game show. The probability that Terry wins is 0.25 and…

A: We are given that in a game show, exactly one of the three contestants (Terry, Chris and Toni) will…

Q: Susan took two tests. The probability of her passing both tests is 0.6. The probability of her…

A: Answer: Option 2.  0.75. The probability of susan passing the second test given that she has passed…

Q: The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take five tests…

A: The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take five tests…

Q: 1. Let A and B be two events such that the occurrence of A implies the occurrence of B, but not vice…

A: Since you have posted multiple questions, we are answering the first question. Here, A and B be two…

Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A: Here we make an equation and then solve that equation.

Q: The probability Kayla will score above 80% on a mathematics test is 0.60. Kayla will take five tests…

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Q: Due to current pandemic we are having online classes, Harish is also having online classes. He is…

A: To find the probability that he knows the answer to the question (given that he correctly answered).…

Q: With a = 0 and b = 1, use the Central Limit Theorem to approximate Pr(S150 2 70). %3D

A: Given that Xi are iid and follows Uniform(a = 0, b = 1).

Q: Excel formula to find the probability he gets 25 or more questions correct. =

A: Here X follows binomial distribution with the probability of success on each trial is p  and the…

Q: You randomly select a number between 1 and 10 twice. Find the probability of selecting a multiple of…

A: Let, A = {When randomly selecting a number from 1 and 10 twice such that to get a multiple of 2 at…

Q: At university   the probability that a student takes Business Statistics is 0.70. The probability…

A: Solution

Q: There are 150 members of the senior class. You survey 25 members of the class randomly and 22 say…

A: It is given that the  There are 150 members of the senior class i.e. N=150 We take a survey of 25…

Q: A quiz for a class consists of 5 questions. The questions are multiple choice with 4 possible…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: There are 34 juniors and 45 seniors in the auditorium. After x juniors and x+5 seniors left the…

A: We want to find value of x.

Q: Forming 3-digit numbers from the digits 1, 2, 3, 4, and 5, if repetition is allowed; if repetition…

A: Given that there are 5 numbers 1, 2, 3, 4, 5. And given that if repetition is allowed: Then the…

Q: A child randomly selects 3 gumballs from a container holding 4 purple gumballs, 7 yellow gumballs, 5…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.