Question

. Suppose the discrete random variable X represents the number of a-particles discharged in a fixed period of time from some radioactive source. Suppose the probability that r particles are discharged during this fixed period is given by -2(2), r=0, 1.2 . e P(X = z) = =0, 1, 2, . . . . What is the expected number of a-particles released during this period? Hint: First find what Σ000 e ' equals. To do this, look up the power series expansion for e. (Is this a valid pmf?) When finding the expected value, you will need to change the bottom value of the sum from r-0 to -1. Later, you will need to make an appropriate substitution for r. -μυ"

Answer 1

Given ha Note khah Now 2 2 We know hat 2 X a valid pmf