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CAS MA 113 Study Guide - Midterm Guide: Binomial Distribution, Random Variable, Sampling Distribution

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mauvebuffalo774
14 Dec 2017
School
Boston University
Department
Mathematics & Statistics
Course
CAS MA 113
Professor
Baublitz

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Document Summary

Random variable: numerical outcome of an experiment whose value is determined by chance. Probability distribution: gives the probability for each value of the random variable. Discrete random variable: 2 rules for probability distribution. The sum of all the individual probabilities must equal 1. The individual probabilities must be between 0 and 1. Experiment is performed a fixed number of times. Each repetition of the experiment is called a trial. For each trial there must be exactly two mutually exclusive (disjoint) outcomes. (these outcomes are often called success or failure. ) The probability of success is the same for all the trials. Notation used for binomial probability distribution number of trials of the experiment probability of success in each trial probability of failure in each trial number of successes in trials; probability of successes in trials. The probability of exactly x successes in n trials of a binomial experiment (2 mutually exclusive outcomes) is given by:

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Related Questions

Which of the following is not a requirement of the binomial probability​ distribution?

a.) The probability of success remains the same in all trials.

b.) The trials must be dependent.

c.) Each trial must have all outcomes classified into two categories.

d.) The procedure has a fixed number of trials.

Which of the following is NOT a requirement of the binomial probability distribution?

A) The probability of success remains the same in all trials.

B) The trials must be dependent.

C) Each trial must have all outcomes classified into two categories.

D) The procedure has a fixed number of trials.

What are the four conditions necessary for x to have a binomial distribution? Mark all that apply.

A) The probability of success, p, is constant from trial to trial.

B) There can only be two outcomes, success and failure.

C) The trials must be independent.

D) You must have at least 10 successes and 10 failures.

E) X can take on any value in an interval.

F) X counts the number of trials until you get a success.

G) There are n set trials.