Consider a binomial experiment with n = 4 trials where the probability of success on a single trial is p = 0.25. (a) Find P(r = 0).

(b) Find P(r ≥ 1) by using the complement rule.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)