(Solution) - State Tech s basketball team the Fighting Logarithms have a 70 -(2025 Original AI-Free Solution)

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State Tech's basketball team, the Fighting Logarithms, have a 70% foul-shooting percentage.
(a) Write a formula for the exact probability that out of their next one hundred free throws, they will make between seventy-five and eighty, inclusive.
(b) Approximate the probability asked for in part (a).