Assuming that x has a normal distribution, find the indicated probability

a) p(40<_x<_47) mean=50, stand.dev.=15 and p(x_>2)mean=3stand.dev.=0.25

b) Find z value and sketch the are described

1) 97.5%of normal curve lies to the left of z

2) Find z such that 95% of standard normal curve lies to the right of z

The solution file is attached.

Assuming that x has a normal distribution, find the indicated probability

a) p(40<_x<_47) mean=50, stand.dev.=15 and p(x_>2)mean=3stand.dev.=0.25

b)find z value and sketch the are …

Neat, step-by-step solution is provide using graphs.