x is a binomial random variable with n = 95 and p = 0.35. A value S of x is randomly chosen. Use a normal approximation to the binomial distribution to calculate the probability that S is greater than 30 and less than 40.
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Step 1
The mean of a binomial distribution is given by μ = np, where n is the number of trials and p is the probability of success in each trial. In this case, μ = 95 x 0.35 = 33.25. The standard deviation of a binomial distribution is given by σ = sqrt(np(1-p)). In Show more…
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