Probability and Statistics: Random Variables
6 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

The random variable T has a mean of ______ and variance of 16.

5

The expectation of X is ______, and the standard deviation of X is 9.

-2

The survey of ______ residents provided the following information about the flu vaccine.

1000

The probability of choosing a person who has no flu is ______.

<p>probability</p> Signup and view all the answers

The pharmaceutical company uses a random variable X which has a ______ density function.

<p>probability</p> Signup and view all the answers

The assignment must be done in ______ and submitted to the class rep before the deadline.

<p>groups</p> Signup and view all the answers

Study Notes

Assignment 1: STAT 166 Introduction to Probability and Statistics

Question 1: Random Variable T

  • Random variable T has a mean of 5 and variance of 16
  • Need to find the sum of constants "c + d" such that E(cT + d) = 100 and Var(cT + d) = 144

Question 2: Expectation of X

  • Expectation of X is -2
  • Standard deviation of X is 9
  • Need to find the value of E(x2 + 6)

Question 3: Flu Vaccine Survey

  • Survey of 1000 residents in a small community
  • Information provided:
    • No vaccine: 24 flu, 289 no flu
    • One shot: 9 flu, 100 no flu
    • Two shot: 13 flu, 565 no flu
  • Questions to answer:
    • a. Probability of choosing a person who has no flu
    • b. Probability of a person having flu given no vaccine
    • c. Probability of a person having no flu given two shots
    • d. Proportion of the sample with no vaccine
    • e. Probability of a person having no flu given no vaccine

Question 4: Pharmaceutical Company Chemical Usage

  • Total amount of chemical used in a month is a random variable X
  • Probability density function of X is cx for x ≥ 0

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

Solve problems involving random variables, mean, and variance in probability and statistics. This quiz is part of STAT 166: Introduction to Probability and Statistics.

More Like This

Use Quizgecko on...
Browser
Browser