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Out of a group of 25 students, 32% of students own a computer and 98% own a phone. Are these events mutually exclusive? (Explain)What is the probability that a student owns a phone and does not own a computer?What are the odds that a random student that is selected will be the owner of a computer and a phone?How many students would you expect to own both a computer and a phone?

User Andrew Cooke
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1 Answer

11 votes
11 votes

Remember that

Mutually Exclusive ------> can't happen at the same time

In this problem

these events are not mutually exclusive

because

the sum of their probabilities is greater than 100%

the formula to calculate the probability is equal to

P(A or B) = P(A) + P(B) − P(A and B)

Let

event A -----> students own a computer

event B -----> students own a phone

32% 0f 25 students ------> 8

98% of 25 students -----> 24.5=25

that means

8 students have a computer and a phone

Part 1

What is the probability that a student owns a phone and does not own a computer?

total students=25

the total student that owns a phone and does not own a computer=17 students

P=17/25

Part 2

What are the odds that a random student that is selected will be the owner of a computer and a phone?

the odds are equal to

8:17

Part 3

How many students would you expect to own both a computer and a phone?

8 students

User Dimgold
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