A guidance counselor at a middle school collected the following information regarding theemployment status of married couples within his school's boundaries.WorkedHusband onlyWife onlyBoth spousesTotalNumber of Children under 18 Years Old2 or MoreTotal017294522788179172573531741537055942512611491700For parts (a)-(d), round your answer to 4 decimal places.(a) What is the probability that, for a married couple selected at random, only the husband works?(b) What is the probability that, for a married couple selected at random, the couple has nochildren?(c) What is the probability that, for a married couple selected at random, the couple has no childrenor only the husband works?(d) What is the probability that, for a married couple selected at random, the couple has one childunder the age of 18 given that both spouses work?

Answered: Image /qna-images/answer/455b2481-5c2d-4ebb-80f5-19d7bee1761c.jpg

Answered: (a) What is the probability that, for a…

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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Among the first 50 stocks listed in the New York Stock Exchange transactions on a certain day (as reported in the Wall Street Journal), there were 22 stocks that went down, 19 that went up, and 9 that remained unchanged. On the basis of this information, find the probability that a stock selected at random from this list would not have remained unchanged. (Enter your probability as a fraction.)
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 81% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)
Peter oversees the electronics section of a large department store. He has noticed that the probability that a customer who is just browsing will buy something is 0.2. Suppose that 10 customers browse in the electronics section each hour. (i) What is the probability that no browsing customers will buy something during a specified hour? (ii) What is the probability that at least one browsing customer will buy something during a specified hour?
Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and 70% regularly consume at least one of these two products. (a) What is the probability that a randomly selected adult regularly consumes both coffee and soda? (b) What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?
Suppose that 50% of all adults regularly consume coffee, 40% regularly consume carbonated soda, and 65% regularly consume at least one of these two products. (a) What is the probability that a randomly selected adult regularly consumes both coffee and soda? (b) What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?
A baseballer rikes out 47% of the batters he faces (that is, the probability that he strikes out any given batter correct is .47). (a) In a series of five games, he faces 180 batters. What is the probability that he strikes out exactly 81 batters? (b) In a month, he faces 630 batters. What is the probability that he strikes out 310 or more batters? Now, every day for eternity he faces 100 batters, and records the number he strikes out. (c) Find the mean μ, and the standard deviation σ, of the numbers (of batters he strikes out on different days) that he records.
Sneakers are no longer just for the young. In fact, most adults own multiple pairs of sneakers. Table gives the fraction of US adults 20 years of age and older who own five or more pairs of wearable sneakers, along with the fraction of the US adult population 20 years or older in each of five age groups. (1) Find the probability that the person owned at least five pairs of wearable sneakers. (2) Find the probability that the person selected was 65 years of age or older, given that the person owned at least five pairs of wearable sneakers. Groups and Ages G1 (20-24) G2 (25-34) G3 (35-49) G4 (50-64) G5 (≥65) Fraction with ≥ 5 pairs 0.26 0.2 0.13 0.18 0.14 Fraction of US Adult 20 and Older 0.09 0.18 0.3 0.25 0.18
Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 75% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)

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