Problem #7: The weight of a sophisticated running shoe is normally distributed with a mean of 14 ounces. (a) What must the standard deviation of weight be in order for the company to state that $99 \%$ of its shoes weight less than 15 ounces? (b) Suppose that the standard deviation is actually $0.82$. If we sample 8 such running shoes, find the probability that exactly 3 of those shoes weigh more than 15 ounces. Problem #7(a): $0.43 \quad$ Round your answer to 2 decimals. Problem #7(b): $0.0637 \quad$ Round your answer to 4 decimals. \begin{tabular}{[111]1[1]1[1]} \hline Just Save & Your work has been saved! (Back to Admin Page). Submit Problem #7 for Grading \end{tabular) \begin{tabular}{|1|1|1|1|1|1|} \hline Problem #7 & $\underline{\text { Attempt #1 }}$ & $\underline{\text { Attempt #2 }}$ & $\underline{\text { Attempt #3 }}$ & $\underline{\text { Attempt #4 }}$ & $\underline {\text { Attempt #5 }}$ Your Answer: & 7 (a) $0.43$ & 7 (a) & 7 (a) & 7 (a) & 7 (a) \end{tabular) SP.VS. 880