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Travka [436]
3 years ago
11

If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the p

robability of taking a calculus class and a statistics class is 0.07, what is the probability of a student taking a calculus class or a statistics class
Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

93% probability of a student taking a calculus class or a statistics class

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student takes a calculus class.

B is the probability that a student takes a statistics class.

We have that:

A = a + (A \cap B)

In which a is the probability that a student takes calculus but not statistics and A \cap B is the probability that a student takes both these classes.

By the same logic, we have that:

B = b + (A \cap B)

The probability of taking a calculus class and a statistics class is 0.07

This means that A \cap B = 0.07

The probability of taking a statistics class is 0.90

This means that B = 0.9. So

B = b + (A \cap B)

0.9 = b + 0.07

b = 0.83

The probability of a student taking a calculus class is 0.10

This means that A = 0.1

A = a + (A \cap B)

0.1 = a + 0.07

a = 0.03

What is the probability of a student taking a calculus class or a statistics class

A \cup B = a + b + A \cap B = 0.03 + 0.83 + 0.07 = 0.93

93% probability of a student taking a calculus class or a statistics class

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