We consider a random variable Z with a standard normal distribution a. Show why the symmetry of the probability density function φ of Z implies that for any a one has Φ(−a)=1 − Φ(a). b. Use this to...

We consider a random variable Z with a standard normal distribution

a. Show why the symmetry of the probability density function φ of Z implies that for any a one has Φ(−a)=1 − Φ(a).

b. Use this to compute P(Z ≤ −2).