Computing Probabilities: College Students & Computer Ownership

Chapter 4, Problem 34

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QUESTION:

Computer Ownership At a local university 54.3% of incoming first-year students have computers. If 3 students are selected at random, find the following probabilities.

a. None have computers.

b. At least one has a computer.

c. All have computers.

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Computing Probabilities: College Students & Computer Ownership
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Understand the probabilities of computer ownership among university first-year students through various scenarios. This video breaks down calculations for chances of ownership and non-ownership among random groups.

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Questions & Answers

QUESTION:

Computer Ownership At a local university 54.3% of incoming first-year students have computers. If 3 students are selected at random, find the following probabilities.

a. None have computers.

b. At least one has a computer.

c. All have computers.

ANSWER:

Step 1 of 4

Three students are chosen at random, let

\(A_{i}\) be the event that i-th student has a computer

(When i is used like this, the statement is true if i is replaced with any number out of 1,2,3)

Because of randomness all \(A_{i}\) are independent and have the dame probability \(P\left(A_{i}\right)=0.543\).

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