Question

It was found that a total of 45 studentd own a laptop and 27 of these students do not own an iphone. There were a total of 35 students that do not own a laptop and 12 of these students own an iphone.Are the eventd {laptop} and {iphone} independent of each other?

Answer 1

Step-by-step explanation

Given that we have a conditional probability, let's suppose that It's given that a student has a laptop but not an iphone,

From the two-way table:

P ( No Iphone | Laptop ) = 27 / 45 = 3/5 = 0.6

Now, the unconditional probability would be:

P( No Iphone) = 50 / 80 = 5/8 = 0.625

These two probabilities are close, but they're not equal. So, the events Laptop and Iphone are NOT INDEPENDENT.