Math Problem Statement
If a coin is tossed
10001000
times, we would expect approximately
500500
of the outcomes to be heads. It can be demonstrated that a coin is unfair if h, the number of outcomes that results in heads, satisfies
StartAbsoluteValue StartFraction h minus 500 Over 50 EndFraction EndAbsoluteValue greater than or equals 1.645h−50050≥1.645.
Describe the number of outcomes that result in heads that determine an unfair coin that is tossed
10001000
times.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Inequality
Formulas
|(h - 500) / 50| ≥ 1.645
Standard Deviation for Binomial Distribution: σ = √(n * p * (1 - p))
Theorems
Normal Approximation to Binomial Distribution
Suitable Grade Level
Grades 10-12
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