Answer: The probability is 0.31, or 31%, rounded to the nearest hundredth.
Explanation:
1. Solve using the Binomial Theorem: nCk*p^k*(1-p)^(n-k).
2. Defrine your variables: n=the total number of trials(8), k=the number of successful trials(7), p=the probability of success(0.78)
3. Substitute and Solve: 8C7*.78^7*.22^1=8*0.17565568854*.22=0.309154
4. Round to the nearest hundredth: .309154=.31, or 31%.