P/2: Due at 3:00PM.... it’s a quiz

How many countries share border with Nigeria

seropon [69]

Nigeria borders with 4 countries

3 0

4 years ago

97 students choose to attend one of three after school activities: football, tennis or running. There are 45 boys. 36 students c

spayn [35]

Answer:

20/97

Step-by-step explanation:

Since we are only looking at students in general that choose running, the question is more simple than it seems. We can ignore every phrase that is gender specific because it doesn't apply to our question. All we need to know is that there are:

97 students

36 who chose football

41 who chose tennis

And we just need to find the number that chose running

97-(36+41)=20

20 students chose running

20/97

8 0

4 years ago

It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription an

coldgirl [10]

Answer:

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

Step-by-step explanation:

Conditional probability of an event X given that another event Y has already occurred is:

$P(X|Y)=\frac{P(X\cap Y)}{P(Y)}$

Let A = an adult visited the therapist and B = an used non-prescription antidepressants.

Given:

P (A) = 0.27

P (B) = 0.46

P (A ∩ B) = 0.21

(a)

Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)} =\frac{0.21}{0.27} =0.77778\approx0.78$

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b)

Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)} =\frac{0.21}{0.46} =0.4565\approx0.46$