Show All Work! ! ! 1. The heights (in inches) of all 10 adult males in an office are listed below. 72 70 69 73 69 71 70 68 70 71 Find the Range, Variance, and Standard Deviation. (10 points) (Express your final answer using two decimal places) 2. For the following frequency distribution. Find the Mean, Variance and Standard Deviation. (10 points) (Express your final answer using two decimal places) Class Freq MidPoint 10 - 14 15 19 6 20 24 25 29 Mean Variance Std Dev3. If a marble is randomly chosen from a bag that contains exactly 8 red marbles. 6 blue marbles. and 6 white marbles. what is the probability that the marble: (3 points} (Express your final answer using fractions in lowest terms) a] Will be red? b) Will be blue? c) Will not be red? cl) Will be red 01' whiter.J 4. Suppose that P(A} = 1:3. P(B] = 3.5. and P(A or B ) = 13:"15. (Express your final answer using fractions in lowest terms) a) YVllat is the value of PM. and B)? (4 points) b) What is the value of PM IE)? (4 points) c] Are event A and event B disjoint events? Explain your answer. (4 points) 'JI Circle which of the following values are NOT valid probability values: (5 points) a) 1.00001 13) 0.5 c) 41:45 d) 32,31 5) 7.55373