The iflag phone company recently released their flagship phone iflag 14. The company offers a full refund for any phone malfunctioning in its first year of operation. According to the historical data, the company expects to sell 10⁶ phones during 2022-2023. Suppose that each phone malfunctions during the first year of its operation with probability p (0, 1), independent of anything else.

(a) Given that p = 210⁶, Use Gaussian approximation with continuity correction to find the probability that the company will issue more than 5 refunds? (Report your number using Normal tables, Hint: since p is very small, you can approximate 1 p with one.)

(b) Suppose that at the end of the year, the company issued 20 refunds. Using Gaussian approximation with continuity correction, estimate p_ML. (Hint: since p is very small, you can approximate 1 p with 1 in your derivation. Root of (+20.5)/(+19.5) exp ((20 )/) is 19.5062)