Answer:
(a) The Venn diagram is attached below.
(b) The probability that neither university admits Ramon is 0.20.
(c) The probability that Ramon gets into Stanford but not Harvard 0.30.
Step-by-step explanation:
Let's denote the events as follows:
<em>H</em> = Ramon gets admitted to Harvard
<em>S</em> = Ramon gets admitted to Stanford.
The information provided is:
P (H) = 0.50
P (S) = 0.50
P (H ∩ S) = 0.20
(a)
The Venn diagram is attached below.
(b)
Compute the probability that Ramon gets admitted in neither Harvard nor Stanford as follows:
Thus, the probability that neither university admits Ramon is 0.20.
(c)
Compute the probability that Ramon gets admitted in Stanford but not in Harvard as follows:
Thus, the probability that Ramon gets into Stanford but not Harvard 0.30.
