Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows.23 4yp(y)010.61 0.21 0.11 0.05 ?(a) Only y values of 0, 1, 2, 3, and 4 have positive probabilities. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.)p(4) =(b) How would you interpret p(1) = 0.21?O In the long run, the proportion that will have at most one broken egg will equal 0.21.The proportion of eggs that will be broken in each carton from this population is 0.21.O In the long run, the proportion of cartons that have exactly one broken egg will equal 0.21.O The probability of one randomly chosen carton having broken eggs in it is 0.21.(c) Calculate P(y ≤ 2), the probability that the carton contains at most two broken eggs.P(y ≤ 2) ==Interpret this probability.O The proportion of eggs that will be broken in any two cartons from this population is this probability.O In the long run, the proportion of cartons that have exactly two broken eggs will equal this probability.O In the long run, the proportion that will have at most two broken eggs will equal this probability.O The probability of two randomly chosen cartons having broken eggs in them is this probability.(d) Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs.P(y < 2)Why is this smaller than the probability in part (c)?O This probability is less than the probability in part (c) because the proportion of eggs with any exact number of broken eggs is negligible.O This probability is less than the probability in part (c) because the event y = 2 is now not included.O This probability is less than the probability in part (c) because in probability distributions, P(y ≤k) is always greater than P(y <

Answered: Let y denote the number of broken eggs…

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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Which of the following tables represents a valid discrete probability distribution? X P(X=x) X P(X=X) X P(X=x) X P(X=x) 5 0.51 1 0.23 0 10 15 0.03 0.03 3 0.03 1 0.33 0.15 3 0.24 5 0.15 2 0.27 20 0.39 7 9 0.17 0.19 3 0.19 25 30 0.15 0.01 12 11 0.02 4 5 1.01 0.06 6 9 15 18 0.22 0.23 0.12 -0.03 0.43
For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yes
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.63 0.19 0.11 0.05 ? (a) Only y values of 0, 1, 2, 3, and 4 have positive probabilities. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.) p(4) = Calculate P(y ≤ 2), the probability that the carton contains at most two broken eggs. P(y ≤ 2) = Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs. P(y < 2) =
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
A student who is taking a stats class was assigned to watch the cars driving along Pereira Drive and count the number of people who are in each cars. Let Y be the number of people in a given car that the student observe. The following table shows the cdf of Y: 1 3 4 P(Y < y) 0.06 0.32 0.71 0.88 1 (a) What is the probability that a given car has 2 people in it? (b) What is the probability that a give car has 3 or more people in it. (c) What is the expected number of people in a given car that the student observe.
(c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) x (# of cards) P(x) 0.14 0.01 0.31 7 0.03 3 0.30 8 0.02 4 0.10 9 0.02 0.06 10 0.01 (Type integers or decimals. Do not round.)
The probability distribution given below represents the projected profit (in thousands of dollars) earned from a business over a year. Profit (x) in thousands of dollars f(x) -100 0.05 -50 0.15 0 0.30 50 0.35 100 0.12 200 0.03 a.) What is the probability that the business will operate at a loss for the year? b.) What is the probability that the business will break even? c.) What is the expected value for profit? Fill out the table below to help you calculate the value.
An appliance dealer sells three different models of upright freezers having 11.5, 14.9, and 20.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. X p(x) 11.5 14.9 20.1 0.2 0.5 0.3 (a) Calculate the mean (in cubic feet) of x. cubic feet Calculate the standard deviation (in cubic feet) of x. (Round your answer to three decimal places.) cubic feet (b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x8.5, what is the mean price paid (in dollars) by the next customer? $ (c) What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.) $

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