Question

The chickens of the FortWhyte farm in Winnipeg are processed when they are five months old. The distribution of their weights is normal with mean 4.0 lb, and standard deviation 0.8 lb. The farm has created three categories for these chickens according to their weight: petite (weight less than 3.8 lb), standard (weight between 3.8 lb and 4.5 lb), and big (weight above 4.5 lb).

Find the 60th percentile of the distribution of the weight. In other words find c such that
P(X < c) = 0.60.

Select one:

a. 4.304

b. 4.204

c. 4.143

d. 4.142

e. 4.104

Answer 1

Given, mean = M = 4.0 lb Standard deviation soso-8 lb x-M Letz- is a standard ncomal random vanable P(x<C)=0.60 > p(x-MC-M) =0.60 pl z <2) = 0.60 using ?-table, we gel P(Z<0.255)=0.60 2=0.255 tel z= C-M c = ut zo c = 4.0+(0.255) (0.80) C = 4.204 The value of cis 4.204