At a college, 20% of the students take Finite Math, 30% take History, and5% take both Finite Math and History. If a student is chosen at random,find the following conditional probabilities.She is taking Finite Math given that she is taking History.She is taking History assuming that she is taking Finite Math.

Let be the event that a student is taking Finite Math. be the event that a student is taking…

Answered: At a college, 20% of the students take…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The result were as follows: 300 people voted for A, 450 people voted for B, and 50 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities: 1) The person voted for A, given that he voted for B. 2) The person voted for B, given that he voted for A.
of 16 Suppose a high school gymnasium bag contains volleyballs, basketballs, and soccer balls. During physical education class, the coach randomly selects a ball 0.45 0.37 from the bag. The ball the coach selects determines what sport the students play that day. If she selects a volleyball, the students play volleyball that day, and so 0.45 0.18 on. The tree diagram shows the possible outcomes with their probabilities for two consecutive physical education classes. Determine the probability that the students will play volleyball two days in a row. Give your answer as a decimal precise to two decimal places. 0.45 0.37 0.37 0.18 0.18 0.45 0.37 0,18
Bradley has a bag of pencils with 10 orange, 2 cyan, and 5 purple pencils. Find the following probabilities of Bradley drawing the given pencils from the bag if each pencil is removed from the bag after it is drawn. You may answer with fractions or decimals rounded to three places. A orange, then a cyan A purple, then a purple A orange, then another orange, and then a cyan
State whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability. If not, give specific reasons for your answer. Deal a card from a shuffled deck: P(clubs) = 12/52, P(diamonds) = 12/52, P(hearts) = 12/52, P(spades) = 16/52.
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
24% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
You have a bag of fourteen candies; 2 each of purple, green and yellow, and 4 each of pink and red. Calculate the following probabilities. Answer in fractions 2)What is the probability of choosing a purple first,then replacing it back into the Bag, and then choosing a red?
At summer camp, 60 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 26 Hiking 34 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is , but the experimental probability is . The theoretical probability of swimming, P(swimming), is , but the experimental probability is . The theoretical probability of swimming, P(swimming), is , but the experimental probability is . The theoretical probability of swimming, P(swimming), is , but the experimental probability is .
If 30% of the students take Economics, 40% take Psychology, and 10% take both Economics and Psychology. What percentage of students take Economics or Psychology? Briefly explain your answer. If a student is chosen at random, find the following conditional probabilities of a student taking Economics if we know they took Psychology. Briefly explain your answer. If a student is chosen at random, what is the probability of this student NOT taking Economics? Briefly explain your answer.

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