For standard normal random variable Z, determine the value of constant c which makes the probability statements given below correct

a) $\mathrm{\Phi}(c)=0.8888$

b) $P(0\le Z\le c)=0.334$

c) $P(-c\le Z\le c)=0.488$

e) $P(c\le |Z|)=0.154$

a) $\mathrm{\Phi}(c)=0.8888$

b) $P(0\le Z\le c)=0.334$

c) $P(-c\le Z\le c)=0.488$

e) $P(c\le |Z|)=0.154$