Answer:
The probability is 0.080757
Step-by-step explanation:
We start by calculating the z-score
z-score = (x-mean)/SD/ √n
In this case;
x = 247 , mean = 240, SD = 50 and n = 100
z-score = (247-240)/50/√100
z-score = 7/50/10
= 7/5 = 1.4
So the probability we want to calculate is;
P( x > 1.4)
we can use the standard normal distribution table for this
P(x > 1.4) = 0.080757