Question

In a batch of 8,000 clock radios 2% are defective. A sample of 11 clock radios is randomly selected 6) without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

A) 0.199 B) 0.801 C) 0.0909 D) 0.0200

I know how to solve using the equation but I need help on solving the equation using the ti-83 calculator

Answer 1

Normal method to solve it

In t 83, we need to use the binompdf function

P(X = c) = binompdf(n,p,c)
n = number of trails
p = probability of success
this find the probability of exactly c success, for some number of C

In our case

n= 11
p = 0.04
c = 0

Step 1: Go to the distributions menu on the calculator and select binompdf
Scroll down and find binompdf( mostly at the end of the list) and press enter.

Step 2 :
Enter the data as follows

binompdf(11,0.04,0) and press enter

This shows that the probability of exactly 0 success about 11.

Then we minus this result from 1 to get the needed probability.