Binomial Distributions
Discrete Distributions
Normal Distributions
Uniform Distributions
Name That Distribution
100
The main characteristics of a binomial distribution are:
-discrete and countable outcomes
-all the probabilities add up to 1
-There are only _____ outcomes
-Each outcome has the same probability of success.
Two
100
In order for something to be a discrete probability distribution, all probabilities must be between or equal to these two values.
0 and 1 or 0-1
100
A normal distribution has what shape?
Symmetric & Bell Shaped
100
What shape does a uniform distribution have?
rectangular
100
Given the probability distribution table, determine the type of distribution:
Discrete
200
The formula for the mean of a binomial distribution
mu=np
200
If you have a discrete probability distribution, all probabilities must add up to this number.
What is 1?
200
Only two pieces of information are needed to find the probability for a normal distribution, what are they?
The mean and standard deviation.
200
A distribution is uniform from 2 to 8. What is the mean of this distribution?
5
200
The heights of women ages 18-24 are normally distributed with a mean of 63.5 inches and a standard deviation of 2.4. What type of distribution is this?
Normal
300
Suppose a binomial distribution has 15 trials, each with the probability of .6 success. Round answers to three decimal places. Find:
P(x<=6)
.095 or 9.5%
300
To find the mean for a discrete distribution that is not binomial, which method would you use:
a) use =average(range)
b) mu=np and sigma=sqrt(np(1-p)
c) sum(x*P(x))
c) sum(x*P(x))
300
A normal distribution has a mean of 64 and a standard deviation of 3.2, find and round to 4 decimal places.
P(x<60)
10.56% or .1056
300
A discrete uniform distribution has 8 outcomes. What is the probability of each outcome?
1/8
300
What type of distribution is this?
Uniform Discrete
400
Suppose a Binomial Distribution has 10 trials, each with a probabilty of .27 success. Round to four decimal places. Find
P(X>=5)
.1037 or 10.37%
400
This discrete distribution has a distribution that looks like a rectangle and has the same probability for every outcome.
Uniform
400
Approximately what percent of data lie between 2 standard deviations in a normal distribution?
95%
400
A continuous uniform distribution has outcomes between 1 to 19, find
P(6<x<12)
6/18 or 1/3
400
Two six-sided dice are rolled and the sum of the dice are recorded. What type of probability distribution is this?
Discrete
500
Suppose a binomial distribution has 15 trials, each with a probability of success of .6. Find the standard deviation for this distribution (rounded to 3 decimal places).
1.897
500
This is the formula for how to find the standard deviation of a discrete distribution that is not binomial.
sum(x-mu)^2*P(x)
500
How do you find the mean of set of raw data that has a normal distribution?
Add up all the numbers and divide by the number of numbers, or use =average(range) in Google Sheets or Excel.
500
True or False: Two six sided die are rolled and the sum of the die are recorded. This is a uniform distribution.
False
500
A package of 80 seeds has a probability of .8 that each seed will sprout and produce a plant. What type of distribution is this?
Binomial