At a carnival there is a booth with a dicegame. Players pay $5 to roll two dice. If anyof the dice show 6, the player wins $10.Score may change after teacher review.a. Let the random variable X = the player'sprofit in one play of this game. Create theprobability model. Enter your P(X) values asfractions, #/#.XP(X)ty tyty tyb. Find the expected value of the randomvariable.E (X) = $ type your answer...c. Interpret the expected value in context.type your answer...d. Find the standard deviation.SD (x) = $ type your answer...

Introduction: It is required to create the probability model for the player’s profit in one game,…

Answered: At a carnival there is a booth with 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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ALDER Binomial Probability Review Practice 1. Allie plays on the varsity basketball team and makes 79% of her free throws. If she takes 12 shots, find the probability that she will make exactly 8 of them. 2. Julie plays corn hole and gets about 60% of the bags in the hole. If she throws 20 bags, find the probability that she will get at least 15 of them in the hole. 3. When 911 dispatches an ambulance to an emergency, the ambulance arrives within 6 minutes 95% of the time. Find the probability that in 10 calls, the ambulance arrives within 6 minutes at most 7 times.
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is greater than or equal to 2". Find P(A). Outcome Probability 1 0.3 2 0.3 3 0.4
You are on a TV show. You have been asked to either play a dice game five times or accept a $120 bill. The dice game works like this: If you roll a 1 or 5, you win $50. If you roll a 4, you win $150. If you roll a 2, 3 or 6, you lose $30. Should you play the game? Answer yes or no. __________ Use expected values and decision theory to justify your answer. Please round the answer to two decimal places. Expected value of five games is $__________
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
tab Carlos buys a bax of doughnuts. The box contains 9 chocolate glazed, 5 Boston crème, and 7 powdered sugar doughnuts. He reaches into the box and randomly selects a doughnut, then reaches into the box again and selects another doughnut. What is the probability that he randomly selects a Boston crème first and then a chocolate glazed doughnut? Round your answer to three decimal places. esc ps lock ! 1 Q F1 A 2 F2 W S #3 80 F3 E D $ 4 Q F4 R F % 5 0 F5 T : ^ 6 G G F6 Y C & 7 H ‹k F7 U * 00 8 N F8 ( 1 DD 9 F9 JK M ) 0- O 72 F10 < 4 P F11 ^ + F12 = [ 11 S I
A gambler uses theory to calculate the probability of winning a card game and gets P(winning) = 0.10. Which option best describes the meaning of this probability? A. He will win 10 times B. In the long run he will win approximately 10% of the time C. He will win on every 10th play D. He is guaranteed to win exactly 10% of the time
The adjacent spinner is used to play a board game. If the wheel is spun, determine the probability that the indicated sectors will stop under the pointer. $100 or bankrupt
Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places. Grades and Gender A B с Total Male 45 Female 18 4 25 Total 20 33 17 70 If one student is chosen at random, a. Find the probability that the student got a C: b. Find the probability that the student was male AND got a "C": c. Find the probability that the student was female OR got a "C": d. If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C':
Oscar is playing a simple card game. The game is played by the player picking a card from a deck. If the player picks any face cards, they wins $20. If the player picks any other cards, they lose $10. Let X be the random variable representing the $ amount Oscar will win/ lose from this game. (a) Fill in the probability distribution of X. Leave the probability as a fraction. X P(X) Win $ Lose $ (b) Calculate the expected value of X. Round your answer to the nearest hundredth of a dollar. (for example if the answer is 43.5478, then round to 43.55). The expected value is $
Help, please.
Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?

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