During a given month, P(A)=0.75,P(B)=0.6, and p(A and B). Are these two events independent? are they mutually exclusive.

yes;yes
yes;no
no;yes
no;no
it cannot be determined
yes;no
3. There are two prominent, nationally circulated newspapers, The Wall Street Journal and 40% subscribe to USA Today, while only 25% subscribe to both The Wall Street Journal and USA Today. If a library is selected at random, what is the probability that it subscribes to the Wall Street Journal but not USA Today.
10%
15%
20%
25%
60%

1. no;no

2. 20%

IT IS

no; no
20%

CONFIRMED 100%

thanks

To determine if two events are independent, you need to check if the occurrence of one event does not affect the occurrence of the other event.

In this case, you are given that P(A) = 0.75 and P(B) = 0.6. Now, if A and B are independent, the probability of both events happening (P(A and B)) would be equal to the product of their individual probabilities (P(A) * P(B)).

Therefore, you need to calculate P(A and B) using the information given. If P(A and B) is equal to P(A) * P(B), then the events are independent. If they are not equal, then the events are dependent.

Regarding whether the events are mutually exclusive, two events are mutually exclusive if they cannot happen at the same time. In other words, if A occurs, then B cannot occur, and vice versa.

To determine whether two events are mutually exclusive, you need to check if P(A and B) = 0. If P(A and B) is zero, then the events are mutually exclusive. If P(A and B) is not zero, then the events are not mutually exclusive.

Now, let's calculate P(A and B) in order to determine if the events are independent and mutually exclusive.

Unfortunately, the value of P(A and B) is missing. Without knowing this value, it is not possible to definitively determine if the events are independent or mutually exclusive.

1. no\yes

2. 25%