1. A weighted coin has a 40% probability of coming up heads. g. What is the...

Question

Question

1. A weighted coin has a 40% probability of coming up heads.

g. What is the probability there will be more than 35 heads in 100 flips?

Answer 1

Answer #1

X ~ Binomial (n,p)

Where b = 100, p = 0.40

Mean = np = 100 * 0.40 = 40

Standard deviation = Sqrt (np(1-p))

= sqrt(100 * 0.40 * 0.60)

= 4.8990

Using normal approximation,

P( X > 35) = p( Z > x+0.5 - mean / SD)

= P( Z > 35.5 - 40 / 4.8990)

= P( Z > -0.9186)

= P( Z < 0.9186)

= 0.8208

Answer 2

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