8. Families. Each child is equally likely to be male or female, independently of all other children.(a) Show that, in a family of predetermined size, the expected number of boys equals the expectednumber of girls. Was the assumption of independence necessary?(b) A randomly selected child is male; does the expected number of his brothers equal the expectednumber of his sisters? What happens if you do not require independence?

Answered: Image /qna-images/answer/17806c93-0aef-4f43-a27b-9dd901c52ee9.jpg

Answered: 8. Families. Each child is equally…

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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All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
In a survey of the weights of the backpacks of 52 students, 11 students' weighed between 0 and 12, 13 students' weighed between 12 and 16, and 28 students' weighed between 16 and 32. The expected weight of the backpack of a student from the survey is...
A gambler flips a coin 100 times. She wins $1 if the coin lands on heads and loses $1 if it lands on tails. What is the expected value of the gambler's winnings?
An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. To play you must pay him $2. If you pick a spade you win $9 what is the expected value for you if you play this game with the aardvark?
A researcher is looking at a new marketing campaign for a product. After 200 people watched the marketing campaign about 60 percent liked the product. Prior to the marketing campaign the product was liked by about 50 percent of people. What is the expected number of people that do not like the product if the null hypothesis is true and what is the observed number of people that do not like a product after watching the marketing campaign?
A small business is studying the number of customers that enter the store. They record the number of customers entering every hour for three days, and find that 27% of the time two customers enter the store in an hour, 28% of the time of the time one customer enters the store in an hour, and the remainder of the time no one enters the store in an hour. What is the expected number of customers per hour?
EX#3: A lot contains 7 components; 4 good components and 3 defective components. A sample of 3 is taken. Find the expected value of the number of good components in this sample.
Robert bought a $3 lottery ticket such that 1 in 100 would win $9, 1 in 1000 would win $120, and 1 in 50 million would win 1 million. What is the expected value of a lottery ticket in dollars? Does Robert expect to earn a profit if he buys 100 tickets?
Luisa is a manager at a pet insurance company with many customers. Sixty percent of the company's customers filed claims in the past year. Luisa will randomly select 12 customers from all the company's customers. Assuming the customers selected are independent of each other, which of the following is closest to the probability that more than 2 of the 12 customers sampled did not file claims in the past year? (A) 0.003 (B) 0.400 (C) 0.917 (D) 0.997 (E) 0.999
You have 3 quarters and 4 dimes in your pocket. You draw two out at random. What is the expected value of the coins in cents that you draw?
A robber is thinking of committing a robbery. He has a 0.5 probability of obtaining $2500 and a 0.5 probability of obtaining $7500 . What is the expected value of the money to be obtained in the robbery?

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