Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 105 is on the graph

Probability =0.8854 (Approx)

Step-by-step explanation:

Given:

Mean μ = 100

Standard deviation σ = 15

Computation:

Z at 70

Z = (70-100)/15

Z at 70  = -2

Z at 120

Z = (120-100)/15

Z at 100 = 1.33

Probability = φ(1.33) - φ(-2.0)

Probability = 0.9082-0.0228  

Probability = 0.8854 (Approx)

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50