Assume that the weight of hamsters is Normally distributed w

Assume that the weight of hamsters is Normally distributed with = 1.1 lbs and = 0.2 lbs. Suppose I randomly select 4 hamsters.

What is P(X < 1.14)? (Use 3 decimal places)

Solution

Mean ( u ) =1.1
Standard Deviation ( sd )=0.2
Number ( n ) = 4
Normal Distribution = Z= X- u / (sd/Sqrt(n) ~ N(0,1)                  
P(X < 1.14) = (1.14-1.1)/0.2/ Sqrt ( 4 )
= 0.04/0.1= 0.4
= P ( Z <0.4) From Standard NOrmal Table
= 0.655