In: Statistics and Probability
Solution :
Given that,
mean = = 12
standard deviation = = 4
n = 25
= = 12
= / n = 4 / 25 = 0.8
P(10 < < 14) = P((10 - 12) / 0.8<( - ) / < (14 - 12) / 0.8))
= P(-2.5 < Z < 2.5)
= P(Z < 2.5) - P(Z < -2.5) Using standard normal table,
= 0.9938 - 0.0062
= 0.9876
Probability = 0.9876