**Problem 5**The probability that a basketball player makes a free throw is $ p = 0.7 $. The player's free throws are modeled as a sequence of Bernoulli trials. The player earns $1 for making a free throw and loses $1 otherwise.**(a)** If the player’s net gain is modeled as the random walk process associated with the Bernoulli trials, what is the probability that the player has a net gain of $2 or more at the end of the 4th trial?**(b)** What is the player’s expected net gain at the end of the 16th trial?

Given:The probability p of making a free throw =0.7The probability q of missing a free throw…

Answered: Problem 5 The probability that a…

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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Rework problem 9 from section 2.4 of your text. Assume that 9 people, including Tom and Jerry, apply for 5 sales positions. People are hired at random. (1) What is the probability that both Tom and Jerry are hired? (2) What is the probability that one is hired and one is not?
Question 2 pe* Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.22, the probability that "she's up all night for good fun" is 0.44, and the probability that "she's up all night 'til the sun" is 0.28, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"? Round to 2 decimal places as needed.
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…
1. In the casino game Roulette, a bet on “red” will win if the ball lands on one of the 18 red numbers of the 38 numbers on the wheel, with each number being equally likely. You want to run a simulation that will estimate the probability of a player winning both bets when betting on red twice. Which of the following would be an appropriate setup for the simulation: I. Use a table of random digits to select one number from 01 to 38 and then a second number from 01 to 38. If the first number is between 01 and 18 and the second number is between 01 and 18, then the player has won both rounds. II. Use a table of random digits to select two numbers 01-38, without repeats. If both numbers are between 01 and 18, then the player has won both rounds. III. Use a table of random digits to select two numbers 01-19, allowing repeats. If both numbers are between 01 and 09, then the player has won both rounds. (A) I (B) II (C) III (D) I and II (E) I and III
Question 3. Suppose there is a 24.50% chance each child will get influenza, whereas in 13.50% of two-child families both children get the disease. What is the probability that at least one child will get influenza? O a. 0.3550 O b.0.06 O c. 0.49 O d. 0.11
QUESTION 11 A critical thinking professor asked her students to indicate whether they believed each of two headlines. One headline was false, and the other was true, but the students did not know this. The probability that a student selected at random believed the true headline was 89% and the probability that the student believed the false headline was 85%. She found that 7896 of the students believed both headlines. a. In this sample, are the events "believed the false headline" and "believed the true headline" mutually exclusive? Explain b. Find the probability that a randomly selected student from this sample believed the true headline OR believed the false headline. T TTT Paragraph Arial 3 (12pt) T O Mashups HTML CSS Words:0 Path: p Click Save and Submit to save and submit. Click Sae All Answers to save all answers. >8 0
QUESTION 5 A company's report shows that. 18% receive a salary increment. 7% of its workers had been receives the staff's award for the Year 2022 3.5% had received the staff's award and received a salary increment. a) Find the probability that a worker has received the staff's award, given that he/she has never received salary increment. b) Find the probability a worker receives salary increment or has received the staff's award. c) Find the probability a worker has never received the salary increment. d) Find the probability a worker has never received both.
Example 2.17 Of the voters in a city, 40% are Republicans and 60% are Democrats. Among the Republicans 70% are in favor of a bond issue, whereas 80% of the Democrats favor the issue. If a voter is selected at random in the city, what is the probability that he or she favor the bond issue?
Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?
EXAMPLE 32. The probability that a contractor will get a plumbing contract is 2/3, and the probability that he will not get an electric contract is 5/9, the probability of getting at least one contract is 4/5, what is the probability that he will get both ?
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.

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