Question

Take 4 coins and toss them a total of 32 times. Each time, record the number of heads observed. For the report, list the numbers from 1 to 32 and record how many heads were observed on each toss. [3 points frequencies as the probability a probability distribution, using the relative

Answer 1

Solution:

   We have to toss 4 coins at a time for 32 times and note down the results for each outcomes and find out how many times heads occurs. Thus we get following results when we tossed 4 coins 32 times.

Sr. No.	1st coin	2nd coin	3rd coin	4th coin	No. of Heads.
1	H	T	T	H	2
2	T	T	H	T	1
3	H	H	T	T	2
4	T	T	T	T	0
5	H	H	T	H	3
6	T	T	T	H	1
7	H	H	T	T	2
8	T	T	T	H	1
9	T	T	H	H	2
10	H	H	H	T	3
11	H	H	H	T	3
12	T	T	H	T	1
13	T	T	H	T	1
14	T	H	T	T	1
15	T	H	T	H	2
16	T	H	H	H	3
17	T	H	H	H	3
18	T	H	T	T	1
19	T	T	H	T	1
20	T	T	T	T	0
21	T	H	T	H	2
22	H	T	H	T	2
23	T	T	H	H	2
24	T	H	H	H	3
25	T	H	H	T	2
26	T	H	H	T	2
27	H	T	T	T	1
28	H	T	T	H	2
29	T	H	H	H	3
30	T	H	H	T	2
31	T	H	T	H	2
32	T	T	H	H	2

probability distribution of number of heads:

X= Number of Heads	f =frequency	P(X)
0	2	2/32=0.06250
1	9	9/32=0.28125
2	14	14/32=0.43750
3	7	7/32=0.21875
4	0	0/32=0.00000
	N = 32	$\sum P(X)=1.00000$