4.182: For each of the following examples, decide whether x is a binomial random variable and explain your decision. (see examples attached).
4.184: Consider the discrete probability distribution shown here.
x 10 12 18 20
p(x) .2 .3 .1 .4
a) Calculate mean, variance and standard deviation.
b) What is P(x < 15)?
c) Calculate mean + or - 2*standard deviation
d) What is the probability that x is in the interval from c.
4.186: Suppose x is a Poisson random variable. Compute p(x) for each of the following cases:
a) Lambda = 2, x = 3
b) Lambda = 1, x = 4
c) Lambda = 0.5, x = 2
Please see attached document for full solutions.
a) Yes, x is a binomial random variable. As the event a chip is defective is independent of each other, and the probability that each chip is defective is fixed. In ...
The expert examines discrete probability distribution for statistics problem sets.