S2 Binomial Distribution

This helps to remember key points about the binomial distribution with a couple of practice questions.  Most is given in the formula book.

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  • Created by: Sarah
  • Created on: 11-10-12 14:58
What must be the case for the distribution to be modelled binomially?
Set number of trials, outcome is either success or failure, outcomes are independent of each other, probability of success is constant.
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A fair coin is flipped 10 times. How can you model the number of heads?
X~B(10, 0.5)
2 of 7
How do you calculate the expectation of a binomial distribution?
E(X)=np
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How do you calculate the variance of a binomial distribution?
Var(X)=np(1-p)
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A binomial distribution has a mean of 20 and a standard deviation of 2. What are the values of n and p?
n=25 p=0.8
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X~B(5, 0.2). What is P(X=2)
0.2048
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X~B(7, 0.3). What is P(X<2)
0.3294
7 of 7

Other cards in this set

Card 2

Front

A fair coin is flipped 10 times. How can you model the number of heads?

Back

X~B(10, 0.5)

Card 3

Front

How do you calculate the expectation of a binomial distribution?

Back

Preview of the front of card 3

Card 4

Front

How do you calculate the variance of a binomial distribution?

Back

Preview of the front of card 4

Card 5

Front

A binomial distribution has a mean of 20 and a standard deviation of 2. What are the values of n and p?

Back

Preview of the front of card 5
View more cards

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