Question

A special weighted coin is found to land on heads 52% of the time. This coin is flipped 100 times. Use Central Limit Theorem and round answer to the nearest 10th. What is the probability that Heads will appear more than 59 out of these 100 tosses? Round to the nearest 10th of a percent.

Answer 1

n = 100

p = 0.52

= np = 100 * 0.52 = 52

= sqrt(np(1 - p))

= sqrt(100 * 0.52 * (1 - 0.52))

= 4.996

P(X > 59)

= P((X - )/ > (59.5 - )/)

= P(Z > (59.5 - 52)/4.996)

= P(Z > 1.50)

= 1 - P(Z < 1.50)

= 1 - 0.9332

= 0.0668