The Problem |
If 60% of all women are employed outside the home, find the probability that in a sample of 20 women, a). Exactly
15 are employed outside
of the home. |
Symbolic Solution | Calculator Solution
a). Exactly 15
are employed outside the home.
Symbolic Solution
From the text of the problem, we see that n = 20, the number in the sample. If we call "success" as "women employed outside the home" we have p = 60% = 0.6. We also have that x = 15. Thus q = 1 - p = 0.4. Since
we have
Thus, P(15) .075
From the text of the problem, we see that n = 20, the number in the sample. If we call "success" as "women employed outside the home" we have p = 60% = 0.6. We also have that x = 15.
There is a program on the TI83/84 that does the above formula for us. It is of the form: binompdf(n, p, x).
Press 2nd VARS [DISTR], arrow down to 0:binompdf( and press ENTER. Now we enter the parameters n, p, x. Type 20,.6, 15) and then press enter.
Thus, P(15).075
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