Find the area under the standard normal curve that lies to the right of

a. $-1.07$

b. $0.6$

c. $0$

d.$4.2$

We need to find the area under the standard normal curve that lies to the right for the given values.

Since $-1.07$is negative, we use the standard normal curve of negative $z$scores. First, we go down to the right-hand column, labeled $z$to $-1.0$. Then going across that row to the column labeled $0.07$, we reach $0.1423$, which the area under the standard normal curve that lies to the left of $-1.07$.

Therefore, the area under the standard normal curve that lies to the right of$-1.07$is,$1-0.1423=0.8577$.

Since $0.6$is positive, we use the standard normal table of positive $z$scores. First, we go down to the left-hand column, labeled $z$to $0.6$. Then going across that row to the column labeled $0.00$, we reach $0.7257$, which the area under the standard normal curve that lies to the left of $0.6$.

The area under the standard normal curve that lies to the right of$0.6$is,$1-0.7257=0.2743$.

We use the standard normal table to find the area for the given value. First, go down to the left hand-column, labeled $z$to $0.00$. Then going across that row to the column labeled $0.00$, we reach $0.5000$, which is the area under the standard normal curve that lies to the left of $0.00$is, $0.5000$.

Therefore, the area under the standard normal curve that lies to the right of$0$is,$1-0.5000=0.5000$.

The value $4.2$is not in the table. So, we use the area under the standard normal curve that lies to the left of $4.2$as $1.0000$,which the area under the standard normal curve that lies to the left of $4.2$.

Therefore, the area under the standard normal curve that lies to the right of$4.2$is,$1-1.0000=0.0000$.