In: Statistics and Probability
A sample of size 47 will be drawn from a population with mean 28 and standarddeviation 6. Find the probability that x will be greater than 29.
A)0.1423B)0.1003C)0.8729D)0.1271
Solution :
= / n = 6 / 47 = 0.8752
P( > 29) = 1 - P( < 29)
= 1 - P[( - ) / < (29 - 28) / 0.8752]
= 1 - P(z < 1.14)
= 1 - 0.8729
= 0.1271
Probability = 0.1271
option D) is correct