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Sholpan [36]
3 years ago
15

Binomial Probability Distribution. How to determine the probability of one candidate of two winning.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
.5

B - binary?
I - independent?
N - trials
S - prob success

B - yes, win or not
I - past candidates don’t affect future candidates
N - 2 candidates
S - .5 probability of winning

Go to the binompdf function on your graphing calculator.

binompdf(2 (trials), .5 (p), 1 (1)) = .5
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Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
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The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

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The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

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