We are given that in a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of the students passed both exams.

Let Probability that the students passed the first exam = P(F) = 0.74

Probability that the students passed the second exam = P(S) = 0.72

Probability that the students passed both exams = $P(F \bigcap S)$ = 0.58

Now, if the student passed the first exam, probability that he passed the second exam is given by the conditional probability of P(S/F) ;

As we know that conditional probability, P(A/B) = $\frac{P(A\bigcap B)}{P(B) }$

Similarly, P(S/F) = $\frac{P(S\bigcap F)}{P(F) }$ = $\frac{P(F\bigcap S)}{P(F) }$ {As $P(F \bigcap S)$ is same as $P(S \bigcap F)$ }

= $\frac{0.58}{0.74}$ = 0.784

Therefore, probability that he passed the second exam is 0.784 .

5 0

3 years ago

Given the following sequence:<br>3,6,12,24

Mars2501 [29]

Answer:

It is a GP.

Step-by-step explanation:

a = 3

r = 2

a(n) term = ar^n

As it increases as multiples, it is a geometric progression or a GP.

8 0

2 years ago

an energy drink company claims that it’s produced inscreases students memory levels. to support its claims, the company issues a

Alenkasestr [34]

Boba all the way, it is delicious and I can't live without it

5 0

3 years ago