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#1 Prob/Stat – Hustle FAMAT State Convention 2015 #3 Prob/Stat – Hustle FAMAT State Convention 2015 Find the mean of the following data: Given: P(A)=.7, P(B)=.4, P(A|B)= 47, 62, 34, 56, 48, 16, 79, 50 5 , 8 find P(A'B') . Answer : _____________ Answer : _____________ Round 1 2 3 4 5 Round 1 2 3 4 5 #2 Prob/Stat – Hustle FAMAT State Convention 2015 #4 Prob/Stat – Hustle FAMAT State Convention 2015 Find the standard deviation of the following sample data: Using the Empirical percentages for Normal distributions, find the probability that a randomly selected student is between 1 and 2 standard deviations above the mean. 4, 8, 5, 6, 7 Answer : _____________ Answer : _____________ Round 1 2 3 4 5 Round 1 2 3 4 5 #5 Prob/Stat – Hustle FAMAT State Convention 2015 #7 Prob/Stat – Hustle FAMAT State Convention 2015 Max is becoming a very good tennis player. His first serve percentage is up to 70%. Max goes to practice and hits 100 first serves. Find the standard deviation of this situation. Given a standard deck of cards (no jokers), a randomly selected card is drawn. Find the probability that the card is a prime number. Answer : _____________ Answer : _____________ Round Round 1 2 3 4 5 1 2 3 4 5 #6 Prob/Stat – Hustle FAMAT State Convention 2015 #8 Prob/Stat – Hustle FAMAT State Convention 2015 The following is statistics about two sets of data: Given two independent variables X and Y, X 12, sX 3, Y 28, sY 5 x 40, sx 4, y 60, sy 6, r .8 find the standard deviation of (3X – 2Y). Find the equation of the line of best fit in slope intercept form. Answer : _____________ Answer : _____________ Round 1 2 3 4 5 Round 1 2 3 4 5 #9 Prob/Stat – Hustle FAMAT State Convention 2015 #11 Prob/Stat – Hustle FAMAT State Convention 2015 Find the mean of the following Distribution: A fair coin is tossed 5 times. Find the probability of getting exactly 3 heads. X P(X) 10 14 16 18 20 .2 .3 .1 .2 .2 Answer : _____________ Answer : _____________ Round Round 1 2 3 4 5 1 2 3 4 5 #10 Prob/Stat – Hustle FAMAT State Convention 2015 #12 Prob/Stat – Hustle FAMAT State Convention 2015 A fair die is rolled 96 times. The results are as follows: Find the median of the following data: 47, 62, 34, 56, 48, 16, 79, 50 X # of times 1 2 3 4 5 6 12 18 15 10 20 21 Find the 2 value associated with a goodness of fit test. Answer : _____________ Answer : _____________ Round Round 1 2 3 4 5 1 2 3 4 5 #13 Prob/Stat – Hustle FAMAT State Convention 2015 #15 Prob/Stat – Hustle FAMAT State Convention 2015 John is rolling a fair die. He rolls the die until he gets a six. What is the probability that it takes more than 3 rolls to see the first six? Sameer has taken four tests in his Calculus class. His results so far have been 78, 85, 81 and 90. Find the value of the fifth test so that Sameer has an overall average on his five tests of at least 86. Answer : _____________ Answer : _____________ Round Round 1 2 3 4 5 1 2 3 4 5 #14 Prob/Stat – Hustle FAMAT State Convention 2015 #16 Prob/Stat – Hustle FAMAT State Convention 2015 Mr. Jones is trying to determine when students like him more. He conducts two simple random samples. 100 students are sampled in his morning classes and 100 in his afternoon classes. 50 in the morning and 60 in the afternoon like his class. Mr. Jones runs a proportion test to determine if his afternoon students like him more. Find the standard deviation of this test. Mr. Rain gave a test and it formed a normal distribution with a mean of 75 and a standard deviation of 5. Bill’s z-score was 2.2 and Ted’s z-score was 0.6. Find the positive difference between Bill and Ted’s raw scores. Answer : _____________ Answer : _____________ Round Round 1 2 3 4 5 1 2 3 4 5 #17 Prob/Stat – Hustle FAMAT State Convention 2015 #19Prob/Stat – Hustle FAMAT State Convention 2015 30% of students at Jones High are male. 80% of the male students and 40% of the female students go to football games. Given that a student goes to a football game, find the probability that the student is male. Ann, Bill and Carol are working independently to solve a problem. If their respective probabilities that they will 1 2 3 solve it are , , and , what is the 3 5 7 probability that the problem will be solved? Answer : _____________ Round 1 2 3 4 5 Answer : _____________ Round 1 2 3 4 5 #18 Prob/Stat – Hustle FAMAT State Convention 2015 #20 Prob/Stat – Hustle FAMAT State Convention 2015 Given the following information: Ms. Lambert is comparing her Calculus classes’ test results. Her first block class of 25 students had a mean of 75 and a standard deviation of 5. Her second block class of 36 students had a mean of 80 and a standard deviation of 6. Ms. Lambert runs a two sample t test to determine if the average of second block is higher than first block. Find the value of the test statistic. Assume the test statistic is positive. 6 x 60, sx 4, y 80, sy 8, y x 8 5 find the coefficient of determination. Answer : _____________ Answer : _____________ Round Round 1 2 3 4 5 1 2 3 4 5 #21 Prob/Stat – Hustle FAMAT State Convention 2015 #23 Prob/Stat – Hustle FAMAT State Convention 2015 There are 100 members in Jones High’s Mu Alpha Theta chapter. 50 of them like football and 40 like tennis. If 20 members like neither sport, how many members like both sports? Given the following: P(A) = .3, P(B) = .5 and events A and B are independent, find the following: P(A B) P(A'B') . Answer : _____________ Answer : _____________ Round Round 1 2 3 1 2 3 4 5 4 5 #22 Prob/Stat – Hustle FAMAT State Convention 2015 #24 Prob/Stat – Hustle FAMAT State Convention 2015 There is a linear relationship between Ms. Lynch’s midterm exam (x) and final exam (y). The equation is y = 3x – 50. Jennifer earned a 50 on the midterm and 112 on the final exam. Find the value of Jennifer’s residual. Mr. Frost’s Math class takes a test. The mean and standard deviation for the test is 70 and 5. He wants to transform the data so that the mean is 80 and the standard deviation is 2. The transformation equation is y = ax + b. Find the value of (b – a). Answer : _____________ Answer : _____________ Round 1 2 3 4 5 Round 1 2 3 4 5 #25 Prob/Stat – Hustle FAMAT State Convention 2015 Find the interquartile range of the following data: 47, 62, 34, 56, 48, 16, 79, 50 Answer : _____________ Round 1 2 3 4 5