Need a normal distribution graph for the following problem A

Need a normal distribution graph for the following problem. An airline knows that the mean weight of all pieces of passengers’ luggage is 49.3 lb with a standard deviation of 8.4 lb. What is the probability that the weight of 66 bags in a cargo hold is more than the plane’s total weight capacity of 3,500 lb?

Solution

Normal Distribution
Mean ( u ) =49.3
Standard Deviation ( sd )=8.4
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
P(X > 53.0303) = (53.0303-49.3)/8.4
= 3.7303/8.4 = 0.4441
= P ( Z >0.444) From Standard Normal Table
= 0.3285