Question: In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a newautomobile: the aggressive approach and the passive approach. For 1,160 customers, the following record was kept:Suppose a customer is selected at random from the 1,160 participating customers. Let us use the following notation forevents: A=

In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new

automobile: the aggressive approach and the passive approach. For $1,160$ customers, the following record was kept:

Suppose a customer is selected at random from the $1,160$ participating customers. Let us use the following notation for

events: $A=$ aggressive approach, $Pa=$ passive approach, $S=$ sale, $N=$ no sale. So$,P(A)$ is the probability that an

aggressive approach was used, and so on$.$

$($a$)$ Compute $P(S),P(S|A),$ and $P(S|Pa).($Enter your answers as fractions.$)$

$P(S)=$

$P(S|A)=$

$P(S|Pa)=$

$($b$)$ Are the events $S=$ sale and $Pa=$ passive approach independent? Explain.

No$.$ The two events cannot occur together.

Yes. $P(S)=P(S|Pa).$

No$.P(S)\ne P(S|Pa).$

Yes. The two events can occur together.

$($c$)$ Compute and $S$ and and $S.($Enter your answers as fractions.$)$

$P(A$ and $S)=$

$P(Pa$ and $S)=$

$($d$)$ Compute $P(N)$ and $P(N|A).($Enter your answers as fractions.$)$

$P(N)=$

$P(N|A)=$

$($e$)$ Are the events $N=$ no sale and A aggressive approach independent? Explain.

Yes. The two events can occur together.

No$.P(N)\ne P(N|A).$

No$.$ The two events cannot occur together.

Yes. $P(N)=P(N|A)$

$($f$)$ Compute or $S.($Enter your answer as a fraction.$)$

$P(AorS)=$