Given that x is a random variable for which a Poisson probability distribution provides a good approximation, use statistical software to find the following:

a. P1x … 32 when l = 1.1

b. P1x … 32 when l = 1.3

c. P1x = 32

d. P1x = 02

e. P1x 7 02

f. P1x 7 62 M04_MCCL3396_14_GE_C04.indd 241 29/09/2021 14:00 242 CHAPTER 4 ● Random Variables and Probability Distributions you randomly select 10 of the 106 social robots and count the number, x, with neither legs nor wheels.

a. Demonstrate why the probability distribution for x should not be approximated by the binomial distribution.

b. Show that the properties of the hypergeometric probability distribution are satisfied for this experiment.

c. Find m and s for the probability distribution for x.

d. Calculate the probability that x = 2.