Question

Suppose that 70% of the videogame consoles are not defected. What is the probability of finding the second console without defects.

a)Define a random variable

b)Identify the distribution and

its parameters

What is the probability of finding the second console without defects:

c) in the third try

d) in the sixth try or before

e) in the fifth try or later

Answer 1

a) Let X denotes the number of trials to get second console without defects.

b) X ~ Negative Binimial ( r = 2, p = 0.7)

The probability mass function of X is

c) The probability of finding the second console without defects  in the third try

d) The probability of finding the second console without defects in the sixth try or before

e) The probability of finding the second console without defects in the fifth try or later