Homework Help is Here – Start Your Trial Now!
Math
Probability
Math 107 Section 11.5 Name Read all directions before answering a question. Show any and all work on this sheet or the back if needed. Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three places. Yes, expected values can have a non-whole number answer. 1) The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the expected value of the number of siblings a student may have. 1). x0 1 1 1 3 4 3 5 1 1 P(X = x) 3 4 16 48 12 24

Math 107 Section 11.5 Name Read all directions before answering a question. Show any and all work on this sheet or the back if needed. Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three places. Yes, expected values can have a non-whole number answer. 1) The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the expected value of the number of siblings a student may have. 1). x0 1 1 1 3 4 3 5 1 1 P(X = x) 3 4 16 48 12 24

A First Course in Probability (10th Edition)
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...
See similar textbooks
icon
Related questions
Topic Video
Question
100%
Math 107 Section 11,5 Name Read all directions before answering a question. Show any and all work on this sheet or the back if needed. Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three places. Yes, expected values can have a non-whole number answer. 1) The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the expected value of the number of siblings a student may have. 1) 2 3 4 5 1 1 3 4 3 1 1 P(X = x) 16 48 12 24 Show the probability distribution, on the back of this page, of the given problems to help answer the question. 2) Ten thousand raffle tickets are sold. One first prize of $1600, 4 second prizes of $700 each, and 8 third prizes of $400 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? 2) 3) If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls, what is the expected number of red balls in the sample? 3) 4) Experience shows that a ski lodge will be full (162 guests) if there is a heavy snow fall in December, while only partially full (53 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40? Assume that heavy snowfall and light snowfall are the only two possibilities. 4) 5) Families with 5 children are randomly selected, find the expected number of boys a family might have. 5) 1
Transcribed Image Text:Math 107 Section 11,5 Name Read all directions before answering a question. Show any and all work on this sheet or the back if needed. Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three places. Yes, expected values can have a non-whole number answer. 1) The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the expected value of the number of siblings a student may have. 1) 2 3 4 5 1 1 3 4 3 1 1 P(X = x) 16 48 12 24 Show the probability distribution, on the back of this page, of the given problems to help answer the question. 2) Ten thousand raffle tickets are sold. One first prize of $1600, 4 second prizes of $700 each, and 8 third prizes of $400 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? 2) 3) If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls, what is the expected number of red balls in the sample? 3) 4) Experience shows that a ski lodge will be full (162 guests) if there is a heavy snow fall in December, while only partially full (53 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40? Assume that heavy snowfall and light snowfall are the only two possibilities. 4) 5) Families with 5 children are randomly selected, find the expected number of boys a family might have. 5) 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS