For a binomial random variable with n 6 and p 025 a calcul

For a binomial random variable with n = 6 and p = 0.25, a calculator or table gives these probabilities:

W 0 1 2 3 4 5 6

P(W) 0.178 0.356 0.2966 0.1318 0.033 0.0044 0.0002

Find the probability that W is less than or equal to 3, i.e., Give your answer to 4 decimal places, e.g., 0.1234. Round as needed.

Solution

p(w <= 3) = p(w=3) + p(w=2) + p(w=1) + p(w=0) = 0.178 + 0.356 + 0.2966 + 0.1318 = 0.9624

you can also compute this by> p(w <=3) = 1 - p(w=4) -p(w=5) -p(w=6) = 0.033 + 0.0044 + 0.0002 = 0.9624

For a binomial random variable with n = 6 and p = 0.25, a calculator or table gives these probabilities: W 0 1 2 3 4 5 6 P(W) 0.178 0.356 0.2966 0.1318 0.033 0.

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