Example 2.19. Consider men who need to undergo a complicated surgery.The probability that they will survive for a year following surgery is only50%. If they do survive for a year, then they are fully cured and theirfuture mortality follows the pattern of general population.Suppose that for the general population, we have l60 = 89, 777, l61 =89, 015, and l70o =77,946.Calculate probabilities that(1) a man aged 60 who is just about to have surgery will be alive atage 70,(2) a man aged 60 who had surgery at age 59 will be alive at age 70,and(3) a man aged 60 who had surgery at age 58 will be alive at age 70.

In the given problem, the surgery is complicated as there is only 50% chance of survival for the…

Answered: Example 2.19. Consider men who need to…

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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Example 2.24 In a city, suppose that only 60% of the people read a newspaper. What is the probability that four out of a sample of five persons will be reading a newspaper?
1. A beverage manufacturing company uses a pair of redundant pumps to transfer flavored syrups to the bottling line. Each pump has a À of 0.055 failures per year and ß of 0.05. What is the probability that both pumps will fail during a 45 day production run? a. 0.00004 b. 0.00034 c. 0.00038 d. 0.12
QUESTION 3 Data on a survey of 80 magazine subscribers showed that 32 subscribers rented a car during the past 12 months for business reasons, 40 subscribers rented a car during the past 12 months for personal reasons, and 24 subscribers rented a car during the past 12 months for both business and personal reasons. 3.1. What is the probability that a subscriber rented a car during the past 12 months for business reasons? 3.2. What is the probability that a subscriber rented a car during the past 12 months for personal reasons? 3.8. What is the probability that a subscriber rented a car during the past 12 months for both business and personal reasons? S.A. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons? 8.5. What is the probability that a subscriber rented a car during the past 12 months for business reasons given that the subscriber rented a car for personal reasons?
QUESTION 1 A retailer of Christmas trees has estimated the number of trees that he will sell during the next season. The folowing table summarizes the demands for trees and their respective probabilities: Probability (X) Demand 4 0,5 5 0.2 10 0,3 1.1. Is demand for trees a proper probability function? Why, or why not? 1.2. What is the probability that the demand for trees will be equal to 4? 1.3. What is the probability that the demand for trees will be equal to 10? 1.4. What is the probability that the demand for trees will be greater than 4? 1.5. What is the expected value of demand for trees? 1.6. What is the variance of the demand for trees?
In the game of roulette, a player can place a $10 bet on the number 13 and have a probability of winning. If the metal ball lands on 13, the player gets to keep the 38 $10 paid to play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the player's $10. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $ (Round to the nearest cent as needed.)
In the game of roulette, a player can place a $7 bet on the number 32 and have a 138 probability of winning. If the metal ball lands on 32, the player gets to keep the $7 paid to play the game and the player is awarded an additional $245.Otherwise, the player is awarded nothing and the casino takes the player's $7. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose.
ANSWER QUESTION 1, 2,3 (A)AND (B) SHOW ALL WORKING
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…
Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are defective. What is the probability that in a shipment of 625 such tools (a) 8 per cent or more, and (b) 7 per cent or less will be defective?
Question 24
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3

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