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The Binomial Probability Theorem: There is no objective. Binomial theorem is  n C r (probability of success)^r  * (probability of failure)^n-r Binomial Probability Theorem example: In the old days, there was a probability of  \displaystyle{0.8} 0 . 8  of success in any attempt to make a telephone call.  \displaystyle{7} Calculate the probability of having  7  successes in 10 attempts. To calculate this all I need to do is plug this into the calculator as 10 C 7 (7/10)^7 * (3/10)^3 and get .266827932 then move the decimal place back two and round to get 27%. One misconception I had was I did not know when to use nPr or nCr. I figured it out when I asked a friend and they explained to me that nPr is used when the problem has to be in order and to use nCr when there is no specific order that you have to use. EQ: Give an example: There is a bag of candy that you want at the store. The bag contains 10 snickers, 12 kit kats, 10 m...

Empirical Rule:  There is no objective Empirical Rule Example: When using the empirical rule the problem has to call for normal distribution or else you can  not use the empirical rule. There are three numbers you have to remember for empirical rule those numbers are; 68%, 95%, and 99.7%. These numbers represent the intervals of information that is included in these margins. The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives  16 1 6  years; the standard deviation is  1.7 1 . 7  years. Use empirical rule to estimate the probability of a gorilla living longer than 14.3 years?  In order to find   the probability I would need to make a normal distribution table and place 16 years as the mean and add and subtract 1.7 as intervals. The numbers I would use would be 9.2, 10.9, 12.6, 14.3, 16, 17.7, 19.4, 21.1, 22.8. Now that I know the numbers I can figure out the percentage. The number 14.3 ...