Question

Based on historical data, your manager believes that 45% of the company's orders come from first-time customers. A random sample of 166 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.35?

Answer 1

Answer: 0.00494.

Step-by-step explanation:

Given : The proportion of the company's orders come from first-time customers. $p=0.45$

Sample size : n= 166

Now , the probability that the sample proportion is between 0.24 and 0.35 would be :-

$P(0.24$

$=P(-5.44$

Hence, the probability that the sample proportion is between 0.24 and 0.35 is 0.00494.