The text outlines a scenario involving two players, A and B, who take turns attempting to make a basket. Player A shoots first and has a probability $ p_1 $ of making a basket on any attempt. Player B, who shoots second, has a probability $ p_2 $ of making a basket. The sequence of play is player A, then player B, and continues in this alternating pattern until one of them makes a basket.Key points:- The attempts by players are independent of each other.Problems:a. Determine the probability mass function of $ X $, which represents the total number of attempts until the game concludes.b. Calculate the probability that player A wins. **Basketball Game Scenario**6. Two people play a basketball game in the following way. They take turns shooting and stop when a basket is made. That is to say they take turns attempting a basket, and stop when the first basket is made.

Given : For player A : probability (p1) For player B : probability (p2) Now they go : player A,…

Answered: Player A goes first and has probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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M A B Q.15 In the above figure, assume that the probability of a relay being closed is and that a relay is open or closed independently of any other. Find the probability that current flows from M to N.
Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.2, P(A ∩ B) = 0.05. Find P(A ∪ B). P(A ∪ B) =
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant p A. B Order Accurate 322 268 121 243 39 Order Not Accurate 32 59 16 If two orders are selected, find the probability that they are both accurate. Complete parts (a) and (b) below. ..... a. Assume that the selections are made with replacement. Are the events independent? The probability is. The events V independent. (Do not round until the final answer. Round to four decimal places as needed.) b. Assume that the selections are made without replacement. Are the events independent? The probability is | The events V independent. (Do not round until the final answer. Round to four decimal places as needed.)
A tour guide is in charge of overseeing groups of 3 visitors during the trip. There is a probability of 2/3 that a visitor in the group will ask the tour guide a question. The tour guide has been asked by the bus driver to make a hypothesis about the number of questions the next group will ask. 1. Write the table and formula (if any) of the probability mass function for the number of questions asked by the group of 3.2. How many questions should the tour guide expect, and what is the standard deviation?
Fifty people were asked how much they paid for the last smartphone app they purchased. These data were collected. Let the random variable X be the price paid for the app, and let f(x)=P(X=x) be the probability mass function based on the result of this survey. Answer parts a through e below. a) Write f as a set of ordered pairs. f= (Type an ordered pair, using integers or decimals. Use a comma to separate answers as needed. Do not include the $ symbol in your answer.) Draw the probability distribution as a histogram. Choose the correct histogram below. A. 0.41% 0.2 Hum 1234567 X=x Q Q 2 b) Find the cumulative probability function F. c) Find f(5). f(5)= (Type an integer or a decimal.) What does f(5) represent? O A. The probability that a randomly selected person paid more than $5 for an app OB. The probability that a randomly selected person did not pay $5 for an app O C. The probability that a randomly selected person paid at least $5 for an app OD. The probability that a randomly…
A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a 0.79 probability of functioning, and two have a probability of 0.83. What is the overall probability that the product will function properly? (Round your answer to 4 decimal places.) Probability
Parts d and e
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Order Accurate Order Not Accurate Drive-thru Restaurant C 237 39 A 332 37 B 270 58 D 146 19 If three different orders are selected, find the probability that they are all from Restaurant A. The probability is. (Round to four decimal places as needed.)
Total Restaurant D 142 976 Restaurant Restaurant Restaurant A 324 B C Order Accurate 278 232 Order Not Accurate 31 55 35 16 137 Total 355 333 267 158 1113 4. If one order is selected, find the probability of getting food that is from Restaurant B. 5. If one order is selected, find the probability of getting an order that is accurate or is from restaurant B?
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant C 241 30 Order Accurate Order Not Accurate A 338 32 B 267 52 D 138 15 If one order is selected, find the probability of getting food that is not from Restaurant A. The probability of getting food that is not from Restaurant A is. (Round to three decimal places as needed.)
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant ok C 234 33 B 268 57 D 120 12 A Order Accurate 314 Order Not Accurate 37 If three different orders are selected, find the probability that they are all from Restaurant C. The probability is (Round to four decimal places as needed.) CCXXI
Use the given information to find the indicated probability. A, B, and C are mutually exclusive. P(A) = .3, P(B) = .2, P(C) = .3. Find P(A u Bu C). P(A u Bu C) = %3D

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