13 Question 19 The value of the covariance is: (A) -4.04 (B) -1.01 [C) -0.96 (D) 1.00 (E) 1.05 (2) Question 20 According to the correlation coefficient the relationship between number of hours practising per day and completion time is: (A) not linear. (B) parabolic. (C) moderate positive linear. ? (D) strong negative linear. (E) weak negative linear. e (1) Questions 21 to 23 is based on the following information: A survey of the 2013 Comrades runners revealed the following regarding the gender and whether they completed the race or not. A random sample of 200 is chosen from the Comrades runners Comrades race complete Gender Yes No Total Male 100 30 130 Female 10 30 70 Total 140 60 200 Define the events as follows: M : Male is my approach proper in Q21 C: Race complete and 22? Question 21 The probability to choose a male runner and he has completed the race, is: (A) 0.7143 (B) 0. 1500 (C) 0.5000 (D) 0.4550 (E) 0.7692 (2) Question 22 Under the null hypothesis of independence the probability to choose a male runner, given he has completed the race, is: (A) 0.7692 (B) 0.7000 (C) 0.7143 (D) 0.5000 (E) 0.6500 (2)+ [ Page view | A Read aloud | T) Add text V 15 Question 23 The events Male and Race completed are: am i on the right track (A) Mutually exclusive because P(M nC)=0 (B) Mutually exclusive because P(M nC) #0 with 23,24,25? (C) Not mutually exclusive because P(M C) #0 (D) Not mutually exclusive because P(M nC) = P(M)P(C) (E) Not mutually exclusive because P(M nC) =0 (1) Questions 24 and 25 are based on the following information: Suppose that we have two events, A and B, with P( A)=0.5, P( B)=0.6, and P( AnB)=0.4. Question 24 P( B A) = (A) 0.24 (B) 0.20 (C) 0.67 (D) 0.80 (E) 0.30 (2) Question 25 The events A and B are: (A) dependent because P(B A) # P(B) (B) dependent because P(B A) = P(A) (C) independent because P(B A) = P(A) (D) dependent because P(B|A) = P(A) (E) independent because P(B A) = P(B) (2) Questions 26 and 27 based on the following The bar chart below represents the probability distribution on the number of Comrades marathons ran by the 2013 runners: 0.5 0.4 0.4 0.24 Probability 0.2 0.2 0.03 0.08 2 5 Number of Comrades marathons Let: x =number of Comrades marathons ran Given: / = 2.2+ [ Page view | A) Read aloud T Add text 17 Question 26 The probability to have run more than one but at most four marathons is: (A) 0.60 (B) 0.52 (C) 0.44 (D) 0.92 (E) 0.84 (1) Question 27 The standard deviation of x is: (A) 1.06 (B) 1.03 (C) 1.60 (D) 0.57 ? (E) 1.26 (2) Questions 28 to 38 are based on the following information: The Comrades committee of 2013 revealed that 37% of the runners received a bronze medal. A random sample of 20 runners is chosen and determined as to whether they received a bronze medal or not. Let x = the number of runners who received a bronze medal. p = = = the proportion of 20 runners who received a bronze medal. n i dont understand 27 Consider the following Excel spread sheets: C but am i ok with the Formula sheet: Value sheetrest? A B A B 1 20 0.37 1 20 0.37 2 IN 3 X 3 X 4 11 =BINOM.DIST(A4,$A$1,$8$1, TRUE) 4 11 0.9692 5 12 =BINOM.DIST(A5,$A$1,$8$1, TRUE) 5 12 0.9898 6 13 =BINOM.DIST(A6, SA$1,$8$1, TRUE) 6 13 0.9972 14 =BINOM.DIST(A7, SA$1,$8$1, TRUE) 14 0.9994 15 BINOM.DIST(A8, SA$1,$8$1, TRUE) 8 15 0.9999 Note: Some of the rows are hidden Question 28 The total number of ways that 3 runners can be chosen from 20 runners, is: (A) 2280 (B) 6840 (C) 8000 (D) 1140 (E) 4000 (2) Question 29 The expected number of runners who received a bronze medal, is: (A) 37.0 (B) 12.6 (C) 7.4 (D) 3.7 (E) 20.0 (1)+ [ Page view | A) Read aloud T Add text 17 Question 26 The probability to have run more than one but at most four marathons is: (A) 0.60 (B) 0.52 (C) 0.44 (D) 0.92 (E) 0.84 (1) Question 27 The standard deviation of x is: (A) 1.06 (B) 1.03 (C) 1.60 (D) 0.57 ? (E) 1.26 (2) Questions 28 to 38 are based on the following information: The Comrades committee of 2013 revealed that 37% of the runners received a bronze medal. A random sample of 20 runners is chosen and determined as to whether they received a bronze medal or not. Let x = the number of runners who received a bronze medal. p = = = the proportion of 20 runners who received a bronze medal. n i dont understand 27 Consider the following Excel spread sheets: C but am i ok with the Formula sheet: Value sheetrest? A B A B 1 20 0.37 1 20 0.37 2 IN 3 X 3 X 4 11 =BINOM.DIST(A4,$A$1,$8$1, TRUE) 4 11 0.9692 5 12 =BINOM.DIST(A5,$A$1,$8$1, TRUE) 5 12 0.9898 6 13 =BINOM.DIST(A6, SA$1,$8$1, TRUE) 6 13 0.9972 14 =BINOM.DIST(A7, SA$1,$8$1, TRUE) 14 0.9994 15 BINOM.DIST(A8, SA$1,$8$1, TRUE) 8 15 0.9999 Note: Some of the rows are hidden Question 28 The total number of ways that 3 runners can be chosen from 20 runners, is: (A) 2280 (B) 6840 (C) 8000 (D) 1140 (E) 4000 (2) Question 29 The expected number of runners who received a bronze medal, is: (A) 37.0 (B) 12.6 (C) 7.4 (D) 3.7 (E) 20.0 (1)