Use the binomial probability distribution table to find each of the needed probabilities. Then use the probabilities to find the final answer, correct to three decimal places.P(r  ≥  3)  =  P(3) + P(4) + P(5) =

In part (c) we found P(r ≥ 3) = 0.942. Use this value to calculate P(r ≤ 2).P(r ≤ 2)  =  1 − P(r ≥ 3) =  1 −

To use the given table, find the section where the left-hand column represents n = 5. Move across the table to the column for p = 0.70.P(r ≥ 3)  =  P(3) + P(4) + P(5) =  0.309 + 0.360 +

Since these events are mutually exclusive, we use the addition rule.Pr ≥  = P(3) + P  + P(5)

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is greater than or equal to 5". Find P(A).Outcome Probability1 0.122 0.083 0.144 0.075 0.196 0.237 0.048 0.039 0.1

When n = 5 and p = 0.8, we have P(5) = . Therefore, P(r = 5) =