Learning Materials
Features
Discover
Chapter 6: Q. 1.2 (page 385)
For each of the following situations, determine whether the given random variable has a binomial distribution. Justify your answer.
Choose three students at random from your class. Let the number who are over feet tall.
No, the variable is not binomial distribution.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Life insurance A life insurance company sells a term insurance policy to a-year-old male that pays if the insured dies within the next years. The probability that a randomly chosen male will die each year can be found in mortality tables. The company collects a premium of each year as payment for the insurance. The amount Y that the company earns on this policy is per year, less the that it must pay if the insured dies. Here is a partially completed table that shows information about risk of mortality and the values of profit earned by the company:
(a) Copy the table onto your paper. Fill in the missing values of .
(b) Find the missing probability. Show your work.
(c) Calculate the mean . Interpret this value in context.
Ms. Hall gave her class a -question multiple-choice quiz. Let the number of questions that a randomly selected student in the class answered correctly. The computer output below gives information about the probability distribution of . To determine each student’s grade on the quiz (out of ), Ms. Hall will multiply his or her number of correct answers by . Let the grade of a randomly chosen student in the class.
(a) Find the median of . Show your method.
(b) Find the IQR of . Show your method.
(c) What shape would the probability distribution of have? Justify your answer
Flip a coin. If it's headed, roll a -sided die. If it's tails, roll an -sided die. Repeat this process times. Let the number of 's you roll.
Chess and reading () If the study found a statistically significant improvement in reading scores, could you conclude that playing chess causes an increase in reading skills? Justify your answer
A large auto dealership keeps track of sales and leases agreements made during each hour of the day. Let = the number of cars sold and = the number of cars leased during the first hour of business on a randomly selected Friday. Based on previous records, the probability distributions of and are as follows:
Define .
Find and interpret .
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App