Suppose you toss a fair coin n times, and record the number ofheads that land. Assume that n is large and approximate the discreterandom variable X with a continuous random variable that isnormally distributed with μ = n/2 and σ = √n/2. If n = 400,find the given probabilities. "a. P(190 ≤ X < 210) b. P(X< 170) c. P(X > 220) d. P(X = 300)"

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Suppose you toss a fair coin n times, and record the number of
heads that land. Assume that n is large and approximate the discrete
random variable X with a continuous random variable that is
normally distributed with μ = n/2 and σ = √n/2. If n = 400,
find the given probabilities. "a. P(190 ≤ X < 210) b. P(X< 170)
c. P(X > 220) d. P(X = 300)"

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