100 likes | 225 Views
Chapter 5 review. Mean and Standard deviation of a probability distribution. On calculator: Enter in the possible values for random variable in L1, and the probability of each value in the corresponding L2 spot. Click STATS CALC 1-Var Stats L1, L2.
E N D
Mean and Standard deviation of a probability distribution • On calculator: Enter in the possible values for random variable in L1, and the probability of each value in the corresponding L2 spot. • Click STATS CALC 1-Var Stats L1, L2
Binomial Distributions • P(x) • On calculator: 2nd + VARS Binompdf (n, p, X) • Table is also option n: number of trials p: probability of success q: probability of failure x: number of successes desired
Example • Given the following information determine the mean, standard deviation, and probability of x successes for the binomial. • n= 12, x=5, p=.5
Critical Question • Does the following procedure result in a binomial distribution? • Flipping a coin 30 times and counting the number of heads • Rolling a die 43 times and keeping track of the number of 6’s • Rolling a die 25 times and keeping track of what number is rolled
Packet time • Finish working on your packet • We will go over the packet answers at the end of class. • Good luck studying tonight!!!
Packet Answers • 1. Statistic • 2 – a. Discrete • 2 – b. Continuous • 3 – a. Ratio • 3 – b. Interval • 4 – a. Cluster • 4 – b. Systematic • 4 – c. Stratified • 5 – a. 26% • 5 – b. 95% • 5 – c. x=80 • 5 – d. 4 clients • 6 – a. Possible, but unlikely • 6 – b. Possible and likely. • 7. 3 • 8. 10 • 9. 14.5 and 17.5 • 10. 6 • 11-12 (See Buda’s Packet) • 13 – a. 12,529 • 13 – b. 5, 159 • 14. 54.79 • 15. 57.43 • 16. 104.83% • 17 – a. z=-0.75 • 17 – b. z = 0.80
Packet Answers Continued • 18 – a. 12 • 18 – b. 57 • 19. 71th percentile • 20. No outliers • 21. 0 and 1 • 22 – a. Not disjoint. • 22 – b. Disjoint. • 23 – a. 0.857 • 23 – b. 0.815 • 23 – c. 0.915 • 24 – a. 0.013 • 24 – b. 0.201 • 25 – a. 0.000129 • 25 – b. 0.006 • 26 – a. 0.570 • 26 – b. 0.560 • 27 – a. {NNN, NNR} • 27 – b. {BW, WB, WW} • 28 – a. 0.999 • 28 – b. 0.512 • 29 – a. 0.006 • 29 – b. 0.054 • 29 – c. 0.103 • 30 – a. Not binomial • 30 – b. Binomial • 30 – c. Binomial
Packet Answers - Continued • 31. 9.66 • 32 – a. 8.8 • 32 – b. 930.24 • 32 – c. 1746.36 • 33 – a. 3.02 • 33 – b. 22.46 • 33 – c. 3.36 • 34 – a. 0.007 • 34 – b. 0.212 • 34 – c. 0.122 • 35. Not enough info. • 36. The number of dogs families own. • 37. The three customers. • 38. The entire ice-cream parlor customer base. • 39. 0.100 • 40. 0.100 • 41. 0.400 • 42. 0.200 • 43. 0.200 • 44. 68% of all values. • 45. Mean and midrange