We are interested in testing whether or not a coin is a balance based on the number of heads 𝑌 on 20 tosses of t

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We are interested in testing whether or not a coin is a balance based on the number of heads 𝑌 on 20 tosses of the coin (𝐻0: 𝑝 = 0.5, 𝐻𝑎: 𝑝 ≠ 0.5). If the rejection region selected as |𝑌 − 4| ≤ 1, find
a. Value of 𝛼.
b. The value of 𝛽 if 𝑝 = 0.4.
(note: 𝛼 is the type I error and 𝛽 is the type II error)