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Hints on doing Probability problems: Feb 2, 2017 1. Define your events: A, B, C, etc., A = picking a number out of a bag, B = it will rain today, C =...
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Hello,Can a tutor assist me with some Statistics?Thank youNote: Attached is a "Probability Hint file (one page)

Hints on doing Probability problems: Feb 2, 2017 1. Defne your events: A, B, C, etc. (i.e., A = picking a number out o± a bag, B = it will rain today, C = a person has a disease) 2. Assign a probability to each o± the events using (1) physical properTes (number o± ±aces on a die), (2) past per±ormance (weather, last year’s ba²ng average), or (3) a guess. (i.e. P(A) = 1/5, P(B) = 0.10, P(C) = 0.02) 3. Determine which mathemaTcal method(s) should be used to obtain the desired fnal probability a. AddiTon rule: P(A ᴜ B) = P(A) + P(B) – P(A ∩ B) b. CondiTonal probability: P(A|B) and P(B|A) P(A|B) * P(B) = P(A ∩ B) c. I± P(A ∩ B) = P(A)*P(B), then A and be are “independent” d. I± P(A ∩ B) = 0, then A and B are “mutually exclusive” e. A³er a marble (card, person, etc) is picked out o± a bag, is it put back in the bag be±ore the next pick (with replacement) or is it set aside and no longer used (without replacement)? ±. Binomial theorem: 1 = (p + q) n where each o± the n events is independent o± each other g. ´ree diagrams (i.e., ±or ±alse posiTve problems) h. Venn diagrams, when given P(A ᴜ B) and/or P(A ∩ B) i. CombinaTon ±ormula: n C k = n! k! ( n k ) ! j. 6x6 table ±or 2 dice problems k. ConTngency table l. Complement rule: P(~A) = 1 – P(A) m. For a distribuTon with P(x) (a probability distribuTon ±uncTon or PDF) μ = Σ x*P(x), σ 2 = Σ (x-μ) 2 * P(x)
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1. (5 points) Use the binomial calculator to do this problem. http://onlinestatbook.com/2/calculators/binomial_dist.html Hopefully by April 2017, I will have 14 descendants – 13 boys and 1 girl. The binomial equation is 1 = (p + q) n . Let p be the probability of having a boy and q be the probability of having a girl. a. What is the value of p? (p = π in the binomial calculator.) b. What is the value of n that should be used? c. What is the probability of having 13 boys and 1 girl by chance? (include a screen shot of your answer) d. What is the probability of being “normal” (for people with 14 descendants) by having exactly 7 boys and 7 girls? (include a screen shot of your answer) 2. (5 points) Last year McDonalds ran a promotion where it gave out Monopoly stickers with each purchase. If you got a winning sticker, you would get a small extra item free. The average person makes 3 purchases per visit, i.e. a Big Mac, French fries, and a drink; or an egg McMuffin, hash browns, and coffee; etc. Use the binomial calculator to do this problem. a. How many purchases does the average person make in 2 visits? b. What is the value of n that should be used? c. Let the probability of a single sticker being a winner be 10%. What is π? d. What is the probability of winning at least 1 prize (i.e. 1 or more prizes up to 6) after purchasing 6 items? (include a screen shot of your answer) e. What is the probability of winning exactly 1 prize after purchasing 6 items? (include a screen shot of your answer) f. What is the probability of winning 0 prizes after purchasing 6 items? (include a screen shot of your answer) 3. (5 points) Calculate the odds of winning the Power Ball 2 nd prize of $1 million. In order to win, you must match the numbers of 5 white balls numbered 1 to 69, and
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STAT 200 - QUIZ 2A 2 NOT match the red Power ball numbered 1 to 26. Write your final answer in 1/p instead of the fraction p. For example, ¼ = 4. 0.10 = 10. a. What is the probability of picking 1 of the 5 winning white balls from the bag? b. What is the probability of picking 1 of the remaining 4 winning white balls from the bag? c. What is the probability of picking 1 of the remaining 3 winning white balls from the bag? d. What is the probability of picking 1 of the remaining 2 winning white balls from the bag? e. What is the probability of picking the last remaining winning white ball from the bag? f. What is the probability of NOT picking the winning red Power ball from another bag? (Note: The white balls and the red Power balls are in different bags. They are not in the same bag.) g. Using the multiplication rule, what is the probability of winning the Power ball 2 nd prize in 1/p? (Note: The Power ball ticket says the odds of winning are 1 out of 11,688,053.52. If you do not get something close to this number, then you did something wrong!) 4. (10 points) The probability that a person has a certain fatal disease is 2% of the population. There is a test for detecting this disease. If you have the disease, the test gives the correct result 97% of the time. If you do not have the disease, then the test gives the correct result 95% of the time. Fill in the following tree diagram.
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