Binomial Distribution

अब Quizwiz के साथ अपने होमवर्क और परीक्षाओं को एस करें!

Consider two exams and which one has higher. 1. 10 questions true/false; P(correct=0.5) 2. 10 questions multiple choice; P(correct=0.25) Which of the following statements are true regarding the number of correct responses? a. The T/F test has a higher mean and more variability in the responses than the multiple choice test b. The T/F test has a higher mean and less variability in responses than the multiple choice test c. The T/F test has a lower mean and more variability in responses than the multiple choice test d. The T/F test has a low mean and less variability in responses than the multiple choice test.

a mean 1 = (n)(p) = (10)*(0.5)=5 mean 2 = (n)(p) = (10)*(0.25)=2.5 SD1 = sqrt(n*p*(1-p)) SD2 = sqrt(n*p*(1-p))

The binomial distribution is a. probability distribution for a continuous random variable b. probability distribution for a discrete random variable c. probability distribution for a normal random variable d. not probability distribution

b

Discrete random variables: --> how many games do I score in a 9 game season? ____ distribution --> how many are until my first goal? ____ distribution --> how many goals do I score in a game? ___ distribution

binomial, geometric, poisson

In gardening, the probability that a randomly selected seed germinates is 0.5. Consider a small sample of 8 seeds, and assume that whether or not one seed germinates is independent of another seed germinating. What is the distribution of the random variable X= the number of seeds that germinate out of 8? a. X ~ Bin (4, 1.41) b. X ~ N (4, 1.41) c. X ~ Bin (8, 0.5) d. X ~ Bin (8, 0.5)

c

Assume the probability that I get stopped at a traffic light is constant (p=0.3) and that whether or not I get stopped at one stop light is independent of whether or not I get stopped at another. Which of the following scenarios meet the criteria for the binomial distribution? A. x=number of times I am stopped by a traffic light in one day B. x= whether or not I am stopped by a traffic light C. x= number of times I am stopped by a traffic light during my daily commute in which I drive through three lights D. X= number lights I drive through until I get stopped for the first time by a traffic light

c - number of trails is FIXED

We use binomial distribution for ____ categorical variables (it has one of __ possible outcomes).

dichotomous, 2

Conditions for binomial distribution: 1) Trials are ____: the result of 1 trial does not depend on the results of the other trial 2) The number of ___ is FIXED. 3) Each trial has __ possible outcomes: "___" or "___" 4) Each trial has the same ___ of success.

independent, trials, two, success, failure, probability

The binomial random variable is characterized by TWO parameters

n, p

Continuous random variables --> __ --> __ (t-distribution) --> __ (chi-squared distribution) --> __ (F-distribution)

normal, t, x^2, F

The binomial random variable X is the number of ___ in the n trials.

successes

Consider a binomial distribution in order to model the distribution of the number of games in which a player of interest scores (out of a 9 game season) 1. Each game is a trial, and the number of ___ is FIXED at __ games. 2. Each game (trial) has ___ possible outcomes: score ("___") and don't score ("__") 3. For this to be an accurate model: --> the 9 games in the season must be ____ (the result of one game does not depend on the results of other games). --> the player should have the same ____ of scoring in each game.

trials, 9, 2, success, failure, independent, probability


संबंधित स्टडी सेट्स

Health care systems quiz questions

View Set

The labour market wages employment and

View Set

Ch. 8, prep U - fluid/electrolyte, Fluids and electrolytes patho, Porth's Ch 39 Disorders of Fluid and Electrolyte Balance, Module 2: Fluid and Electrolytes / Module 5: Acid Base, Prep U CH.8, Chapter 8 -Exam 1

View Set

Bio220/221 A&P: The Appendicular Skeleton

View Set

Introduction to Understanding the Self

View Set

CHEM chapter 2: Compounds and Air Quality

View Set

Med Term Quiz 5: Cardiovascular System

View Set