Dear Students, Here you can read or download STA301 - Statistics and Probability Assignment No 2 Solution Spring 2021. Previously we shared STA304 GDB Solution Spring 2021. You can also see the File of STA301 Assignment No 2 Solution 2021 provided by Raise For Success. Click on button to
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Toss a fair coin four times and
construct frequency distribution for the (Raise For Success) number of heads. Also find the mean and standard error of that
probability distribution of heads.
Note. X represents the number of heads.
STA304 GDB Solution Spring 2021
CS502 Assignment No 3 Solution Spring 2021
HHHH, HHHT, HHTH, HHTT, (Raise For Success) HTHH, HTHT,
HTTH, HTTT, TTTT, TTTH, TTTH, TTHT, TTHH, THTT, THTH, THHT, THHH
Frequency distribution:
Number of Heads X |
Value of the 4 coin Flips |
Total Number of ways of getting a Heads |
P(X) |
X.P(X) |
0 |
TTTT |
1 |
1/16 |
0 |
1 |
HTTT, THTT, TTHT,TTTH |
4 |
4/16 |
4/16 (Raise For Success) |
2 |
HHTT, HTHT, HTTH, THTH, THHT, TTHH |
6 (Raise For Success) |
6/16 |
12/16 |
3 |
HHHT, HHTH, HTHH, (Raise For Success) THHH, |
4 |
4/16 |
12/16 |
4 |
HHHH |
1 |
1/16 |
4/16 |
|
|
|
|
32/16 = 2 |
Now for standard error we find standard deviation:
X |
X^2 |
P(X) |
X^2.P(X) |
0 |
0 |
1/16 |
0 |
1 |
1 |
4/16 (Raise For Success) |
4/16 |
2 |
4 |
6/16 |
24/16 |
3 (Raise For Success) |
9 |
4/16 |
36/16 (Raise For Success) |
4 |
16 |
1/16 |
16/16 |
|
|
|
80/16 = 5 |
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