Answer to Question #300162 in Statistics and Probability for Elli

Question

1. Suppose five cell phones are tested at

random. Let D represent the defective cell phone

and let N represent the non- defective cell

phone. If we let X be the random variable for the

number of defective cell phones, construct the

probability distribution of the random variable X.

Answer 1

Solution:

D represents the defective cell phone.

N represents the non- defective cell phone.

X be the random variable for the number of defective cell phones.

n=5

X={0,1,2,3,4,5}

We cannot find respective probabilities for X here as data is insufficient.

Assume their respective probabilities are a,b,c,d,e,f

Then, probability distribution:

X 0 1 2 3 4 5

P(X) a b c d e f