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 10⁶phones 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, what is the probability that the company will issue more than 5 refunds? (Leave your answer as a summation)

(b) Use the Markov inequality to provide a bound for part (a).

(c) Use Chebyshev's inequality to provide an upper bound for part (a).

(d) Use Poisson approximation to solve (a). (Report your number)