Problem 5.A professor tries to count the number of students attending lecture. For each student in theaudience, the professor either counts the student properly (with probability p) or overlooks (anddoes not count) the student with probability 1-p. The exact number of attending students is 70.(a) The number of students counted by the professor is a random variable N. What is thePMF of N?(b) Let U = 70 – N denote the number of uncounted students. What is the PMF of N?(c) What is the probability that the undercount U is 2 or more?(d) For what value of p does E[U] = 2?

Answered: Image /qna-images/answer/70f41a23-eb91-48c3-b016-591f61bf1191.jpg

Answered: Problem 5. A professor tries to count…

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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!!(Hello, I need 1,5,6,7, and 8.)!!! A charity organization hosts a raffle drawing at a fundraising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000. Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once (remember that the net gain should include the cost of the ticket). Use the table below to help you construct a probability distribution for all of the possible values of X and their probabilities. (I'm not sure how to organize the numbers in this table)(The numbers are in the paper I sent.) (X) Net Gain Probability 2. Find the mean/expected value of X. (Round to two decimal ) Answer: $-1.6 3. In complete sentences, describe the interpretation of what your value from #2 represents in the context of the Answer: -1.6 represents the amount of money you will lose if you decide to…
Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receives a packet correctly it sends an acknowledgment to the sender. Here too, a packet is received correctly with probability p, but the sender keeps sending copies of a given packet until a copy is correctly received (signaled by acknowledgment). Let random variable N be the number of times the same message packet is sent.
Mr. Blackwells's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 2 are purple, 4 are yellow, 3 are green, and the rest are black, what is the probability of drawing a purple and yellow if the marbles are not replaced after they are picked?A. 1/150 B. 8/625 C. 2/75 D. 1/75
fair die is rolled three times. A 5 is considered "success," while all other outcomes are "failures." Find the probability of 2 successes. The probability of 2 successes is (Type an integer or a simplified fraction.) ...
A game is played with two fair 6-sided dice. The player rolls the dice. If the sum of the dice is 7 or less, the player loses $4. If the sum of the dice is 8 or 9, the player breaks-even. If the sum of the dice is 10 or greater, the player wins $10. The random variable X is a player’s gain (in $) from playing this game. a) Find P(X = 0). Give your answer as a fraction in lowest terms. P(X = 0) = Blank 1. Fill in the blank, read surrounding text. b) Find E(X). Give your final answer as a decimal. If rounding, give to 2 decimal places. E(X) = Blank 2. Fill in the blank, read surrounding text. dollars c) Find the standard deviation s for the random variable X. Give the final answer as a decimal rounded to 2 decimal places. s = Blank 3. Fill in the blank, read surrounding text. dollars
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9-letter words, with or without meaning, are created by using the letters of "MICROWAVE". Blank #1: How many different 9-letter words can be created? Blank #2: How many different 9-letter words are formed where M, W, & V are together? Blank #3: What is the probability of selecting a word with M, W, &V together? (Express Answer as a % to 2 decimal places.) Blank # 1 Blank # 2 Blank # 3 99+ C PV Insert Prtsc Delete Backspace Num Loc 5 6 9. T U 0O G. H. K 11 Enter PgUp Alt Ctrl Home V - 图 * C0 MN IN
Suppose you physically simulate the random process of rolling a single die. (a) After 10 rolls of the die, you observe a "one" 2 times. What proportion of the rolls resulted in a "one"? (b) After 20 rolls of the die, you observe a "one" 4 times. What proportion of the rolls resulted in a "one"? (a) The proportion was (Simplify your answer. Do not round.) (b) The proportion was (Simplify your answer. Do not round.)
In a game of widget you are dealt a four card hand. You win the game if exactly three of the cards are the same suit. Let X be the discrete random variable representing the number of times you win out of the next three games. EXPRESSIONS ONLY!
An instructor gives his class a set of 12 problems with the information that the next quiz will consist of a random selection of 4 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly (a) all 4 problems? 0.2545(b) at least 3 problems.
A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?
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