Problem #2: 13 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent theirfaculties. 7 of these 52 students will be randomly chosen to be on the student council. Find the probability that atleast one of the four faculties will be unrepresented on the student council.Problem #2:Enter your answer symbolically.as in these examples

Given Information: Number of students nominated from Engineering = 13 Number of students nominated…

Answered: Problem #2: 13 students from each of…

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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Similar questions

Problem 2 A box of bolts contains eight thick bolts, five medium bolts, and three thin bolts. A box of nuts contains six that fit the thick bolts, four that fit the medium bolts, and two that fit the thin bolts. One bolt and one nut are chosen at random. What is the probability that the nut fits the bolt?
Problem 4. You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive? Note that if the sum of your cards is less than 20 then you lose your $10.
4.
Eastern High School's highest academic award category is Highest Honors. The next highest award is Academic Excellence. The table shows data about the awards by grade. Use the table and the events that follow to complete problems 3-6. Grade 10 11 12 Award category Highest Honors 36 32 30 Academic Excellence 44 43 40 TEN: A recognized student is in the tenth grade. TWELVE: A recognized student is in the twelfth grade. HH: A recognized student received the Highest Honors award. AE: A recognized student received the Academic Excellence award. 3. Compare P(TEN|HH) and P(HH|TEN). Interpret what your answer means. 4. Are TEN and HH independent? Explain your reasoning and what your answer means.
Problem 7. Suppose there are 6 restaurants in Statsville. Non-discerning foodies Alice and Bob like each restaurant independently and with probability 1/2. What is the probability that either Bob likes every restaurant Alice likes OR that Bob dislikes every restaurant Alice likes?
Problem 4. There are 1000 students in the year level and they have to participate in a certain activity. They can choose from singing, dancing, and acting skills. The X is the number that the students either choose none, one activity, two activities, or all the activities. a. Find the probability that none of the said activities were chosen if there are 2 students who did not participate. b. Find the probability if there are 458 students who participated in at least 1 activity. c. Find the probability if there are 329 students who participated in two activities d. Find the probability if there are 211 students who participated in all the activities.
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
Problem 12 25% of likely U.S. voters think that it is too easy to vote in the United States. You randomly select five likely U.S. voters. Find the probability that the number of likely U.S. voters who think that it is too easy to vote in the United States is a) Exactly two. b) At least two. c) Less than four.
Problem 1 The University of Oklahoma has a renowned radar research program within the School of Electrical and Computer Engineering. Say that there are two radar prototypes under development, A1 and A2, and the effectiveness of each is determined by their ability to spatially detect a particular object. A1 has a probability of 0.5 of detecting the object, and A2 has probability 0.3 of detecting the object. a. Find the probability that the object is detected. b. Find the probability that the object is detected by exactly one of the radar prototypes. c. Given that the object was detected by exactly one of the prototypes, find the probability that it was A1 that detected it.
PROBLEM 2: An ordinary deck of 52 playing cards is randomly divided into 4 piles of 13 cards each. Compute the probability that each pile has exactly 1 ace.
Situation 2: I went to the grocery store and I noticed that there are five different kinds of brown sugar at different prices, each brand has different probabilities that they will be sold. What formula should I use if I want to determine how the prices vary from the average price of the product that would be sold to the customers repeatedly?
Problem 3: A man wants to choose a can of juice from a beverage vending machine. The machine contains 8 "Pepsi" cans, 4 "orange" cans and 6 "7-up" cans. When the man enters his coin in the machine, the can juice is dropped randomly. Calculate : a- The probability that the dropped can will be orange b- The probability that the dropped can is not orange c- The probability that the dropped can will be Pepsi or 7-up d- The probability that the dropped can will be Pepsi or 7-up or orange

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