SOLUTION: Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, X. The probabilities corresponding to the 14 possible values of X are summarize

Question 1200095: Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, X. The probabilities corresponding to the 14 possible values of X are summarized in the given table. Answer the question using the following table.
X(girls) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
P(X) 0.000 0.001 0.006 0.022 0.061 0.122 0.183 0.209 0.183 0.122 0.061 0.022 0.006 0.001 0.000
Find the probability of selecting 11 or more girls.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Given table:

X(girls)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14
P(X)	0.000	0.001	0.006	0.022	0.061	0.122	0.183	0.209	0.183	0.122	0.061	0.022	0.006	0.001	0.000

Sometimes it's better to transpose the table.
This means each row becomes a column, and vice versa.
We go from a wide table to a tall table.

X(girls)	P(X)
0	0.000
1	0.001
2	0.006
3	0.022
4	0.061
5	0.122
6	0.183
7	0.209
8	0.183
9	0.122
10	0.061
11	0.022
12	0.006
13	0.001
14	0.000

It's up to you which you prefer better.

Use the last four items of the table to say the following:
P(11 or more girls) = P(11 girls) + P(12 girls) + P(13 girls) + P(14 girls)
P(11 or more girls) = 0.022+0.006+0.001+0.000
P(11 or more girls) = 0.029

Extra side notes:

Luckily we only have four things to add, so it's not too tedious to do this by hand. Spreadsheet software is recommended for larger projects.
The instructions mention "14 possible values of X", but in reality there are 15 values. Going from X = 1 to X = 14 consists of 14 values. Then X = 0 is the 15th value.

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