The number of pizzas consumed per month by university studen

The number of pizzas consumed per month by university students is normally distributed with a mean of 13 and a standard deviation of 2. Use Excel to answer the following questions: What proportion of students consume more than 16 pizzas per month? Probability = What is the probability that in a random sample of size 10, a total of more than 150 pizzas are consumed?

Solution

Mean ( u ) =13
Standard Deviation ( sd )=2
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
a)
P(X > 16) = (16-13)/2
= 3/2 = 1.5
= P ( Z >1.5) From Standard Normal Table
= 0.0668                  
b)
P(X > 15) = (15-13)/2
= 2/2 = 1
= P ( Z >1) From Standard Normal Table
= 0.1587