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10-02-2020
Mathematics

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What is the probability of flipping a coin 85 times and getting tails 40 times or fewer? Round your answer to the nearest tenth of a percent.
A. 99.8%
B. 95.9%
C. 33.2%
D. 0.4%

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MathPhys MathPhys

10-02-2020

Answer:

C. 33.2%

Step-by-step explanation:

Number of trials n = 85

Probability of success p = 0.5

Number of successes r = 40

Use cumulative binomial probability:

P(x ≤ r) = binomcdf(n, p, r)

P(X ≤ 40) = binomcdf(85, 0,5, 40)

P(x ≤ 40) = 0.332

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