制药统计复习.pptVIP

Exam Paper Question 1- Short Questions – Compulsory! Questions 2 – 6 – Long Questions on any topic below: Probability Summary Statistics Correlation and Regression Hypothesis Testing Estimation Answer Question 1 and 3 Others Exam Paper Question 1: short questions Examples: Summary Statistics Write down the equation used to calculate standard deviation. Draw a frequency curve for the following: Bimodal, Truncated, Positively Skewed Calculate the mean for the following data: 45 67 86 23 11 27 Poisson Distribution The number of occurrences of an event within a fixed interval of opportunity No limit to the number of times the event could occur No fixed number of trials Event: “accidents” or “random events” Interval: time, length, area, volume Number of fish caught in a day Number of goals scored in a match Example A fisherman catches 3 fish on average per day. What is the probability of catching no fish?? ? = 3 r = 0 A fisherman catches 3 fish on average per day. What is the probability of catching more than 3 fish?? ? = 3 r = “more than 3” = 4 or 5 or 6 …. P(“more than 3”) = 1 – [P(0) + P(1) + P(2) + P(3)] P(0) = e-3.30/0! = 0.0498 P(1) = e-3.31/1! = 0.1494 P(2) = e-3.32/2! = 0.2240 P(3) = e-3.33/3! = 0.2240 P(0) + P(1) + P(2) + P(3) = 0.6472 P(“more than 3”) = 1 – [ 0.6472] = 0.3528 Exam Paper: 2010 “NOT” For any event, A P(not A) = 1 – P(A) Eg. Roll a dice, what is the probability of rolling anything other than a 2? P(2) = 1/6 P(Not 2) = 1 - 1/6 = 5/6 Probability A die is rolled what is the probability of rolling a 4? Three dice are rolled what is the probability of getting no 4s?? Two dice are rolled what is the probability of getting a 4 and a 6?? In a deck of cards a card is chosen and replaced, a second card is chosen. What is the probability of getting a clubs with the first card and a king with the second? Classical Probability If all outcomes are equally likely then the probability of an event (E) is: P