Question

The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%

Answer 1

Final Answer is: 2.28%

I got it right when I did it! :)

Answer 2

2.28%

Explanation:

Given that:

µ = 40 minutes ; σ = 3.5.

x = > 47 minutes

Obtain the standardized score, Z

Zscore = (x - μ) / σ

P(x > 47) = (47 - 40) / 3.5

P(x > 47) = 7 / 3.5

P(x > 47) = 2

P(z > 2) = 0.02275

Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%