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1. For a binomial with n = 20 and p = .7, determine the mean and variance of pˆ, the proportion of observed successes.
2. For a binomial with n = 30 and p = .3, determine the mean and variance of pˆ.
3. For a binomial with n = 10 and p = .8, determine (a) the probability that pˆ is less than or equal to .7, (b) the probability that pˆ is greater than or equal to .8, (c) the probability that pˆ is exactly equal to .8.
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