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In the old days, there was a probability of \(0.8\) of success in any attempt to make a telephone call. (This often depended on the importance of the person making the call, or the operator's curiosity!)
Calculate the probability of having 7 successes in 10 attempts.
in Data Science & Statistics by Diamond (55.6k points) | 727 views

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Best answer

Probability of success \(p=0.8\), so \(q=0.2\).
\(X=\) success in getting through.
Probability of 7 successes in 10 attempts:
Probability \(=P(X=7)\)
&=C_{7}^{10}(0.8)^{7}(0.2)^{10-7} \\
We use the following function
C(10, x)(0.8)^{x}(0.2)^{10-x}
to obtain the probability histogram:


by Diamond (55.6k points)

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