1.What is the probability that a leap year selected at random will contain at least 53 Sundays? 2.Two dice are thrown at random. Find the probability of getting a)Same number on both the dice b)An event of getting multiple of 3 as the sum c)Event of getting a total of at least 10. 3.The following table lists probabilities of outcomes in sample spaceS: Outcomeabcde Probability0.20.150.120.25 a.What isP(d)? b.What is the probability of eventE1={b,d} c.What is the probability of eventE2={a,c,e} 4.Given sample spaceS={a,b,c,d}, eventE1={a,b,c}, eventE2={b,c,d},P(b)=0.34, andP(E2)=0.8. FindP(a)?

5.The following data set is heights of some famous Canadian basketball players from the 2018-19 season, measured in inches: 80, 82, 77, 85, 78, 82, 79, 75, 73, 76, 79, 76, 78, 79, 83, 82, 76, 78, 81, 84, 72, 77 For this sample data set, calculate the following: a.The percentile rank of the player whose height is 80 inches. b.The three quartiles of the data set. c.The five-number summary of the data set. d.The interquartile range. e.The z-score of the player whose height is 80 inches. 6.The grades on a stats exam of 100 students follow a normal bell-shaped distribution with a mean of 75 and a standard deviation of 10. a.What is the median score on the exam? b.Is it possible that 30 students got A's? Why or why not? c.How many students scored below 55? 7.The mean age of sales ladies in a department store is 30, with a standard deviation of 6. Between which two age limit must 75% of data set lie?

8.Given a standard deck of 52 playing cards, a random experiment is set up in which you draw a single card from the deck. Let eventTbe the case where the card is a number divisible by 3. Let eventFbe the case where the card is a face card (jack, queen, or king). Let eventHbe the case where the card's suit is hearts. Find the following probabilities: a.P(T). b.P(F). c.P(H). d.P(TF) e.P(TF) f.P(TH) g.P(TH) 9.Let A, B and C be three sets. For each of the following sets, represent them by Venn diagrams. a.AUBUC b.ABC c.A U (BC) d.A - (BC) e.A U ( BC)c 10.In a classroom of 100 students, 35 like Science, 45 like Math, and 10 like both. How many like either of them and how many like neither? 11.Among a group of students, 50 played cricket, 50 played hockey and 40 played volley ball. 15 played both cricket and hockey, 20 played both hockey and volley ball, 15 played cricket and volley ball and 10 played all three. If every student played at least one game, find the number of students and how many played only cricket, only hockey and only volley ball? C= 50, H=50, V=40, C n H = 15, H n V = 20, C n V = 15, C n V n H = 10. C - C n H - C n V + C n V n H = 50 - 15 - 15 + 10 = 30. H - C nH - H n V + C n V n H = 50 - 15 - 20 + 10 = 25