Question

Consider the probability that no fewer than 69 out of 120 software users will call technical support. Assume the probability that a given software user will call technical support is 99% Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions, Answer I Tables Keypad Yes No

Answer 1

Solution:

Given that,

P = 0.99

1 - P = 0.01

n = 120

Here, $X\sim$ BIN ( n , P ) that is , BIN (120 , 0.99)

then,

n*p = 118.8 > 5

n(1- P) = 1.2 < 5

The above necessary condition is less than 5 then we can not be used to normal approximation to binomial.

The answer is,

No.