Section 8.1
­Give all students the double sided "Introductory Binomial Distribution Sheet"
­Have enough coins to do the experiment part for Tables 1 and 2
If a coin is tossed 5 times, what is the probability of getting 0 heads, 1 head, 2 heads, 3 heads, 4 heads, or 5 heads?
To answer this problem experimentally, toss a coin 5 times and record the number of heads that turn up for every 5 tosses.
Repeat this process 19 more times. Do not toss the coin 100 times in a row. You are supposed to record the results for every 5 tosses.
My results:
# of heads for every 5 tosses Frequency
0
1
1
6
2
5
3
4
4
2
5
2
Make a histogram showing the Frequency Distribution
Frequency
# of heads for every 5 tosses
1
Now, take the data and record the probability of obtaining the # of heads for every 5 tosses. Remember, you did the experiment 20 times in total. # of heads for every 5 tosses
Probability
0
1/20 = 0.05
1
6/20 = 0.30
2
5/20 = 0.25
3
4/20 = 0.20
4
2/20 = 0.10
5
2/20 = 0.10
Now complete a histogram illustrating this Binomial Probability Distribution. Probability
# of heads for every 5 tosses
2
To answer this problem theoretically, we use the formula we learned last unit.
Do on page 472 #6a
3
4