The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchasebox after box until you have obtained three of these prizes.(a) What is the probability that you purchase x boxes that do not have the desired prize?O nb(x; 3, 0.1)b(x; 3, 1, 10)nb(x; 3, 1, 10)O h(x; 3, 0.1)h(x; 3, 1, 10)О ыx;B 3, 0.1)(b) What is the probability that you purchase five boxes? (Round your answer to four decimal places.)(c) What is the probability that you purchase at most five boxes? (Round your answer to four decimal places.)(d) How many boxes without the desired prize do you expect to purchase?How many boxes do you expect to purchase?

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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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A bag contains 11 Blue balls, 9 Red balls, and 10 Green balls. Two balls are going to be drawn from the bag (one at a time) and then returned to the bag before the next is drawn. Let event B = blue ball chosen, R = Red ball chosen, and G- Green ball chosen. What is the probability the first is blue and the second is red? What is P(B and then R)? Write an answer to 4 decimal places.
From a group of 10 children, a team of 5 (red team) is randomly chosen. The remaining 5 children are on blue team. Two of the children are best friends, what is the probability they will end up on the same team? Can u show me the work for this?
I need help with A, B, C. Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 and that the outcomes of the three matches are independent of one another. (a) What is the probability that A wins both her matches and that B beats C? and What is the probability that A wins both her matches? (b) What is the probability that A loses both her matches? (c) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)
A bag contains 10 Blue balls, 10 Red balls, and 9 Green balls. Two balls are going to be drawn from the bag (one at a time) and then put to the side (they are not returned to the bag). Let event B blue ball chosen, R = Red ball chosen, and G- Green ball chosen. What is the probability they are both red? What is P(R and R)? Write an answer to 4 decimal places.
Suppose that in a certain large population, the proportion of people that have blood type O is 0.33. If 7 people are randomly and independently selected from this population, what is the probability that no more than one has blood type O? (Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer:
Use the data in the table below, which shows the employment status of individuals in a particular town by age group. Part-time Unemployed Age Full-time 0-17 25 187 252 18-25 391 200 199 26-34 434 66 22 35-49 562 192 149 50+ 461 170 237 If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

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