The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box after box until you have obtained two ofthese prizes.(a) What is the probability that you purchase x boxes that do not have the desired prize?O h(x; 2, 0.1)O nb(x; 2, 0.1)O b(x; 2, 0.1)O h(x; 2, 1, 10)O b(x; 2, 1, 10)O nb(x; 2, 1, 10)(b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.)(c) What is the probability that you purchase at most four 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?

Given The probability that a randomly selected box of a certain type of cereal has a particular…

Answered: The probability that a randomly…

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 probability distribution gives the possible values of the random variable and the probabilities of each random variable. Probabilities have to be between 0 and 1. The sum of all the probabilities has to be 1. Additionally, the different values for the random variable are disjoint possibilities. In other words P(Xa and X - b) = 0 if a and b are different outcomes. Fill in the missing value for the probability distribution. P(X) 0.151 X 3 4 5 What is P(X-6)? 0.04 0.026 ?
the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.
Solve Q21
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. Suppose you purchase box 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?
Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have. P(x) ХP(x) 0.15 1 0.25 0.35 4 0.10 0.05 6 (or more) 0.05 (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? O the average number of children married adults in the country have the average number of children adults in the country have O the number of children married adults in the country have O the number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? O it is more likely to have two to three children, with p = 0.35 O it is more likely to have four…
Suppose a neighborhood grocery store buys 5 containers of skim milk at the wholesale price of $11 per container and sells it for $22 per container. After the expiration date, unsold milk is removed from the shelves and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price. If the probability distribution of the variable is X and the number of containers sold from this lot is x f(x) 0 1/15 1 2/15 2 2/15 3 3/15 4 4/15 5 3/15 Calculate the expected utility. (Round to two decimal places)
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
a.2/9 b.2/3 c.1/3 d.1/9 e.3/8
The circuit shown below operates if and only if there is some path of functional devices from left to right. The probability that each device functions is shown for each device and the devices operate independently of each other. What is the probability that the circuit operates? 0.9 0.9 0.8 0.95 0.95 0.9 (A) None of these (B) 0.5263 (C) 0.1642 (D) 0.9850 (E) 0.9702

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