Example 2.2 Two desperados A and B are playing Russian roulette, andthey have agreed that they will take turns pulling the trigger of a revolverwith six cylinders and one bullet. This dangerous game ends when the triggerhas been pulled six times without a fatal shot occurring (after each attemptthe magazine is spun to a random position). Desperado A begins. What isthe probability mass function of the number of times desperado A pulls thetrigger?

Answered: Image /qna-images/answer/9f4e1be3-d949-4101-a46d-4211297f140c.jpg

Answered: Example 2.2 Two desperados A and B are…

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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QUESTION 11 QwikStore has kept their daily sales records on their 20 oz. "Awesome Drink" across the last 400 days. Assuming that past performance is a good indicator of future sales, what is the probability that 100 "Awesome Drink" sales will be made? Number Sold of "Awesome Drinks" 50 75 100 125 Total OA).1875 O B).3125 O C).50 O D),.80 OE).25 Number of Days 75 120 125 80 400
PART C. 1. James is an operator of a machine that uses 16 batteries. Because it has so many, it does not shut off until half of the batteries are dead. a. All batteries are independent and have uniformly distributed lifetimes on the interval [ 0, 1 2] years. Find the probability that the machine shuts before 1 years of work? b. What is the expected time when the 5th and the 8th battery die?
Example 1 : Find the probability of drawing 2 red balls in succession from a bag containing 4 red and 5 black balls when the ball that is drawn first is (i) not replaced (ii) replaced.
QUESTION 3 H Profits for a skiing resort depends on how much snow falls in winter. The probability distribution of snowfall and resulting profitability is as follows: More than 40 inches K120 000 40% 20 to 40 inches K40 000 20% Less than 20 inches -K40 000 40% The owner receives an offer from a hotel chain to lease the resort at a guaranteed profit of K45 000 for the season. He is also considering leasing snow making equipment which would allow the resort to operate full-time regardless of the amount of natural snow fall which would ensure profit of K120 000 minus the cost of leasing and operating the snow equipment. The leasing cost is K12 000 per season regardless of usage. Operating cost will be K10 000 for natural snowfall of more than 40 inches, K50 000 for between 20 and 40 inches and K90 000 if it is less than 20 inches. Required: Construct a decision tree…
Chapter 4 (probability) 13. The table shows the responses from 103 people when asked if they support a proposal to expand the public library. Under the Age 55 or Age of 55 Total Older Yes 17 25 No 42 36 78 Total 59 44 103 One person from those who responded will be selected at random. Which of the following is closest to the probability that the person selected will be someone who responded no, given that the person selected is age 55 or older? (A) 0.350 (C) 0.462 (D) 0.757 (E) 0.818 (B) 0.427 14. You toss a coin 300 times. On average, how many tails do you expect? (C) 150 15. According to the law of large numbers, when observing random trials. (A)0 (B) 100 (D) 200 (E) 300 (A)the fewer trials, the more predictable the long-run average (expected value). (B) the more trials, the more predictable the long-run average (expected value). (C) the fewer trials, the more predictable each outcome becomes. (D)the more trials, the more predictable cach outcome becomes. (E) the result of the…
Questions: #16 #18 #20 #22
Answer question 8.1
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the six chambers between each shot, what is the probability he doesn't shoot himself either time?
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.
suppose you roll a weighted die. For this problem, assume that the outcomes 1 and 2 are equally likely,that the outcomes 3 through 6 are equally likely, and that outcome 3 is two times as likely as outcome 1.(a) What is the probability of rolling more than a 3?(b) What is the probability you do not roll 1?

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