In: Statistics and Probability
Solution :
Given that ,
mean = = 50
standard deviation = = 15
n = 2
= = 50 and
= / n = 15 / 2 = 10.6066
P( > 13) = 1 - P( < 13)
= 1 - P(( - ) / < (13-50) / 10.6066)
= 1 - P(z < -3.49) using z table
= 1 - 0.0002
= 0.9998
Probability = 0.9998