3.1 Area under the curve, Part I: Find the probability of each of the following, if Z~N(μ = 0,σ = 1). (please round any numerical answers to 4 decimal places)

a) P(Z < -1.35) =

b) P(Z > 1.48) =
0.069

c) P(-0.4 < Z < 1.5) =

d) P(| Z | >2) =

Situation: an archaelogist in turkey discovers a spear head that contains 54% of its original amount of c-14. n = noekt no = inital amount of c-14 (at time t = 0) n = amount of c-14 at time t k = 0.0001 t = time, in years find the age of the spear head to the nearest year