2. A young couple plans to have a family with four children. Assuming that the behavior of theirfirst child does not cause them to alter their plans, what is the expected number of girls for theirfamily?

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Answered: 2. A young couple plans to have 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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1. A focus group of 4 members is to be randomly selected from a medical team consisting of 8 doctors and 6 technicians and 5 paramedics and 7 nurses. a. What is the probability that no doctors or no paramedics are selected? Let
30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that exactly one of Rebecca and Elise will be chosen to represent her school? Show the STEP-BY-STEP SOLUTION CLEARLY. SHOW EXPLAMATIONS IF NECESSARY.
4. A committee of size 7 is to be selected from 10 men and 6 women. Find the probability that 4 women are selected in the committee. *
The number of girls and boys enrolled for different majors in a community college are as follows. There are a total of 535 girls and 500 boys. 150 girls and 120 boys are majoring in Biology. 100 girls and 100 boys are majoring in Chemistry. 110 girls and 130 boys are majoring in Statistics. 175 girls and 150 boys are majoring in Medicine. Construct a contingency table with this information. Select a student at random. What is the probability that the student is Chemistry major given that it is a girl?
9.The NAR estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained find the probability that at most 175 homes are going to be used as investments.
11. As a small business owner, you decide to randomly give two of your loyal customers a $100 gift card each. To decide who gets the gift cards, you write down the names of each loyal customer and draw them out of a hat. You draw two names without replacement so that one person does not get both $100 gift cards. Of the 6 loyal customers you have, 3 live in Georgia. What is the probability that both of the $100 gift cards go to a loyal customer living in Georgia? .2 O.25 O.3 O none of the above are correct
5. A distributed system contains 4 computers. What is the probability of its failure in one year, if probability of failure of the computers in this period are 0.1, 0.2, 0.3, 0.4?
6. One thousand tickets are sold at $1 each for prizes of $200, $100, $50, and $25 (one of each prize). the What are After each prize drawing, the winning ticket is then returned to the pool of tickets. expected winnings if you purchase one ticket?
15. A box contains 18 batteries of which 2 are known to be defective. You reach in and remove 5 batteries. Find the expected number of defective ones.
12. The manager of a retail store wants to determine the best method of staffing employees without being wasteful. The problem that is often encountered is having too many employees and too few customers, and vice versa. The manager realized that during the holiday season they attract, on average, 90 customers per hour. On some days, the number is higher, on others, the number is lower. The manager would like to determine the probability of at least 2 customers arriving in a given minute during holiday season. Use the normal approximation to find the erisq probability. moonos vos svar Boy o .b bus. μ 13. A machine used to regulate the amount of dye dispensed for mixing shades of paint can be set so that it discharges an average of u milliliters of dye per can of paint. The amount of dye discharged is known to have a normal distribution with a variance equal to 0.0160. If more than 6 milliliters of dye are discharged when making a particular shade of blue paint, the shade is…
1. The theoretical driving test currently consists of 50 questions, each with 4 options, of which only one answer is correct. To pass, at least 41 questions must be answered correctly. Johnny goes to the exam unprepared and guesses the answer to every question. a. What is the probability of Johnny giving exactly 11 correct answers? b. What is the probability of Johnny giving at most 7 correct answers? c. What is the probability of Johnny giving less than 10 correct answers? d. What is the probability that Johnny passes on the exam? e. Calculate the probability that Johnny answers at least 5 and at most 15 questions correctly. f. Determine the expectation and the standard deviation of the number of questions that are correctly answered by Johnny. 2
8. To say that a coin is fair means that when it is tossed, each of the outcomes (heads or tails) has a 50% probability of occurring. This means that: a. in the next 6 flips of the coin, exactly 3 of the outcomes will be heads. b. in the next 6 flips of the coin, at least 3 of the outcomes will be heads. c. in the next 6000 flips of the coin, approximately 3000 of the outcomes will be heads. d. in the next 6000 flips of the coin, exactly 3000 of the outcomes will be heads.

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2. A young couple plans to have a family with four children. Assuming that the behavior of their first child does not cause them to alter their plans, what is the expected number of girls for their family?