Question

A shipment of 100 keyboards are about to be shipped out. The probability that a keyboard is defective is.02. Based on the following data, what can you tell your boss he should most likely expect about the quantity of defective keyboards in the shipment? (one to two sentences) (You can use the term probability, but don't use statistic specific terms. Write your answer in a way that would be easy for an individual to understand who does not have a stats background) Cumulative P 100.00 0 0.132619556 0.132619556 0.270652155 0.403271711 0.273413912 0.676685622 0.182275941 0.858961563 0.090207991 0.949169555 0.035346805 0.984516359 0.011421587 0.995937946 0.003130114 0.99906806 0.000742604 0.999810664 0.00015492 0.999965583 2.877°8Е-05 0.999994354 4.804°ЗЕ-06 0.999999158 7.2714Е-07 0.999999885 1.00453E-07 0.999999986 1.27396Е-08 0.999999998 100.00 1 100.00 2 100.00 3 100.00 4 100.00 5 100.00 6 100.00 7 100.00 8 100.009 100.00 10 100.00 11 100.00 12 100.00 13 100.00 14

Answer 1

The statement that I can say to my boss is that:

In Percentage form:

"Out of 100 keyboards to be shipped, there is a 99.9999998% (close to 100%) chance that atleast 14 keyboards will be defective out of it"

Or,

In Probability form:

"Out of 100 keyboards to be shipped, there is 0.999999998 probability that atleast 14 will be defective out of it"

End of the Solution...