Answer:
0.077
Step-by-step explanation:
Data:
u = 5
σ = 0.7
x = 6
Calculation:
\(P(X>x)=P(z>\frac{x - u}{devst})\)
\(P(X>6)=P(z>\frac{6-5}{0.7})\)
\(P(X>6)=P(z>\frac{1}{0.7})\)
P (X> 6) = P [z> 1.43]
To find z> 1.43 in the normal distribution graph, we must subtract from the total probability (which is 1) the value of z <1.43 (note that the sign of inequality has been changed). So, we have
P (X> 6) = 1 - P [z <1.43]
We look in the normal distribution table for the z-score of 1.43, and get 0.92364. So,
P(X>6) = 1 - 0.92364
P(X>6) = 0.076564
P(X>6) = 0.077 (Rounded)
Hope this helps!
