It is reported that 72% of working women use computers at work. Choose 5 working women at random. Find
a. The probability that at least 1 doesn't use a computer at work
b. The probability that all 5 use a computer in their jobs
well, just using what iss given and assuming it is true
probability that woman uses computer at work = .72
so probability not = 1-.72 = .28
Binomial distribution
prob 5/5 yes = C(5,5) .72^5 *.28^0
= 1 * .72^5 * 1
= .72^5 = .193 (second answer)
so prob that someone does not = 1-.193
= .807 (first answer)
Yes
Yes
Yes
Yes
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Yes
Why can't I understand..!.
To find the probabilities, we need to use the concept of binomial probability. The formula for the probability of x successes in n trials, with each trial having a probability of success p, is:
P(x) = (nCx) * p^x * (1-p)^(n-x)
Where nCx (also known as a combination) is the number of ways to choose x items from a set of n items, calculated as:
nCx = n! / (x! * (n-x)!)
Now let's solve the given problem:
a. The probability that at least 1 working woman doesn't use a computer at work:
To calculate this, we need to find the probability of 1, 2, 3, 4, and 5 women not using a computer and then subtract that from 1 (the complement rule).
Let's calculate:
P(at least 1) = 1 - P(none) = 1 - P(0) = 1 - C(5,0) * (0.72)^0 * (0.28)^5
First, C(5,0) is equal to 1 because choosing 0 out of 5 doesn't involve any selection.
Now we can substitute the values into the equation above and solve it.
P(at least 1) = 1 - (1 * 1 * 0.28^5) = 1 - 0.0877 ≈ 0.9123
Therefore, the probability that at least one working woman doesn't use a computer at work is approximately 0.9123.
b. The probability that all 5 working women use a computer in their jobs:
To calculate this, we need to find the probability that all 5 women use a computer.
P(all 5) = P(5) = C(5,5) * (0.72)^5 * (0.28)^0
We can simplify this equation:
P(all 5) = 1 * (0.72^5) * 1^0 = (0.72)^5
Calculating it:
P(all 5) ≈ 0.1681
Therefore, the probability that all 5 working women use a computer in their jobs is approximately 0.1681.
I'm not sure how someone can help you with this... If you don't understand it, I will happily explain it.
*It is asking you to choose five women that work every day or every other day and observe them. What's the probability that at least one of them does not use a computer at work. What's the probability that all five of them use a computer at work.
*The chances of someone not using a computer at work are going to be slim to none depending on their job. Take teachers for example. They use their computers every day to do at least part of their job. So choose five teachers, and make a decision based off of them. I hope this helped you!