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klemol [59]
3 years ago
7

Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How lo

ng will it take Messi to catch up with Ronaldo?
Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

15 feet

Step-by-step explanation:

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Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main cam
rewona [7]

Answer:

a) 0.0835 = 8.35% of students at the university are statistics majors

b) 0.8623 = 86.23% are at the Main campus

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for item b.

a. What proportion of students at the university are statistics majors?

12% of 60%(At the main campus).

4% of 25%(Downtown campus).

The rest is 100 - 60 + 25) = 15%.

1% of 15%(Bay Area Campus). Si

p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835

0.0835 = 8.35% of students at the university are statistics majors.

b. Of all statistics majors at the university, what proportion are at the Main campus?

Using conditional probability to find the percentage.

Event A: Statistics majors, so P(A) = 0.0835

Event B: Main Campus

Intersection of A and B:

12% of 60%. So

P(A \cap B) = 0.12*0.6 = 0.072

Percentage:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623

0.8623 = 86.23% are at the Main campus

8 0
3 years ago
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