Do what is () first then do what is out of the () and you will get an answer
<h3>
Answer: 9</h3>
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Explanation:
You're on the right track. The 15 C 9 refers to the nCr combination formula which is built into the binomial probability.
The 0.75^9 is also correct
The 0.15^(15-7) portion is not correct. That 0.15 should be 0.25 so it adds to 0.75 to get 1.00 or just 1
Also, the (15-7) portion should be (15-9)
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So here's how the steps should look
B(x) = probability of getting a certain x value in a binomial distribution
B(x) = (nCx)*(p)^(x)*(1-p)^(n-x)
B(9) = (15C9)*(0.75)^(9)*(1-0.75)^(15-9)
B(9) = 5005*(0.75)^(9)*(0.25)^(6)
B(9) = 0.09174776729197
B(9) = 0.0917
The probability of getting exactly 9 flights on time is roughly 0.0917
This applies to one trial.
In 100 trials, we expect about 100*0.0917 = 9.17 = 9 flights to be on time.
It's a coincidence that we get a final answer of 9 which matches with the other 9 mentioned in the instructions. This won't always be the case.
If you know the rugs sell for 8$ per square foot and the total spend was $432. You divide 432 by 8 to find the total number of square foot of the rug. Which is 54. To find total square foot you find the area. So the area of a rectangle is L*W. So 54 = 9*width. So just divide 54 by 9 and you get the width of the rug. The width is 6 foot. Now you check. A nine by 6 rugs square foot is 54. and then times by 8 and you get 432 total. So you know the rug is 6 foot wide. :)
1/a^3
The guy above me is probably also right
