STA301 Assignment 2 Solution Download in PDF Spring 2021

                                                        STA301 Assignment # 2 Solution

By: Abdul Hadi E Services 

Question :                                                                                                                                 Marks:  10

Toss a fair coin four times and construct frequency distribution for the number of heads.  Also find the mean and standard error of that probability distribution of heads.

Note.  X represents the number of heads

Solution:

Sample size: 2⁴ = 16

So

Sr. No	Possibilities				X (number of head)
1	T	T	T	T	0
2	T	T	T	H	1
3	T	T	H	T	1
4	T	T	H	H	2
5	T	H	T	T	1
6	T	H	T	H	2
7	T	H	H	T	2
8	T	H	H	H	3
9	H	T	T	T	1
10	H	T	T	H	2
11	H	T	H	T	2
12	H	T	H	H	3
13	H	H	T	T	2
14	H	H	T	H	3
15	H	H	H	T	3
16	H	H	H	H	4

 

Now find Frequency distribution, probability distribution, mean, standard error of X

But we know must formula

X denote to head

X	F(x) Number of head	P(x)	X P(x)	x ^2	x^2 P(x)
0	1	1/16	0	0	0
1	4	4/16	4/16	1	4/16
2	6	6/16	12/16	4	24/16
3	4	4/16	12/16	9	36/16
4	1	1/16	4/16	16	16/16
			µ = 32/16 = 2

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