Question

1. A jar has two kinds of coins. Some of them are fair, and some of them have are biased, in which case P(heads) = 2 .
3 A coin is selected from the jar. Since we don’t know which kind it is, we toss it 50 times. Let X be the number of
heads that occur.
Please note carefully the directions of the inequalities (≤ or ≥) in each of the questions below.
(a) Suppose the coin chosen is a fair coin. Show how to use a normal approximation (with continuity correction) to estimate the probability that X ≥ 29.

(b) Suppose the coin chosen is a biased coin. Show how to use a normal approximation (with continuity correction) to estimate the probability that X ≤ 29.

Answer 1

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