Question

Consider the experiment of tossing a fair coin until a tail appears or until the coin has been tossed 4 times, whichever occurs first. SHOW WORK.

1. a) Construct a probability distribution table for the number of tails
2. b) Using the results in part a make a probability distribution histogram
3. c) Using the results in part a what is the average number of times the coin will be tossed.
4. d) What is the standard deviation (nearest hundredth) of the number of times the coin will be tossed.

Answer 1

Solution

Consider the experiment of tossing a fair coin until a tail appears or until the coin has been tossed 4 times, whichever occurs first.

a) The tree diagram

Let X=no. of tails

Prbability distribution table

X	P(x)
0
1

b)

c) Let X be no.of coin taxes

x	P(x)
1	.5
2	5*5=2.5
3	5*5*5=125
4	5*5*5*5*2=125

Average no of continous

d)

Standerd deviation