Probability Mass Function for a Bernoulli Experiment with 10 Coins - Prof. Richard B. Sowe, Quizzes of Probability and Statistics

The probability mass function (pmf) for a bernoulli experiment involving the tossing of 10 independent coins, where each coin has a probability of 4/5 of landing heads up. The pmf is given by the formula in the document and is used to compute the probability of getting exactly 3 heads in the experiment.

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2010/2011

Uploaded on 06/28/2011

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Math 461, Section C13, Fall 2010
Quiz 5, September 29 Name:
1. 10 points Suppose that we toss 10 independent coins, and that P{heads}=4
5for each
coin. Let X= 1 if we get exactly 3 heads, and X= 0 otherwise. Compute the probability
mass function pXof X.
R. Sowers 1
pf2

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Math 461, Section C13, Fall 2010

Quiz 5, September 29 Name:

  1. 10 points Suppose that we toss 10 independent coins, and that P{heads} =

4

5

for each

coin. Let X = 1 if we get exactly 3 heads, and X = 0 otherwise. Compute the probability

mass function p X of X.

R. Sowers 1

Answers

p X (j) =

10

3

4

5

3

1

5

7

if j = 1

10

3

4

5

3

1

5

7

if j = 0

0 else

R. Sowers 2