# Continuous Random Variable Essay examples

699 WordsMay 25, 20133 Pages
Dynise Adams STA Individual Work unit-8 Section 6.1 8. a) The time it takes for a light bulb to burn out is a continuous random variable because the time is being measured. All possible results for the variable time (t) would be greater than &gt; 0. b) The weight of a T-bone steak is a continuous random variable because the weight of the steak is measured. All the possible results for the weight of the T-bone steak would be positive numbers making the variable weight (w) &gt; greater than 0. c) The number of free throw attempts before the first shot is made is a discrete random variable because every shot is attempt can be counted. Let (x) represent shot attempts, all the possible results of the value x…show more content…
34. a) Interpretation 1: the proportion of miles per gallon over 26 miles is 0.3309. Interpretation 2: the probability is 0.339 for 26 miles per gallon when she fills up her car. b) Interpretation 1: the proportion of miles per gallons between 18 and 21 miles per gallon is 0.1107. Interpretation 2: the probability is 0.1107 for the gas to last between 18 and 21 miles when she fills up her car. 36. a) z1 = x1-m 0= 18-256= -76 = -1.167 b) z2= x2 - m0=30-356= 56 = 0.833 c) The area between z1 and z2 is also .6760. Section 7.2 6. a) The area to the left of z = -3.49 is 0.0002 -3.49 0 z b) The area to the left of z = -1.99 -1.99 0 z c) The area to the left of z = 0.92 is .8212 0 0.92 z d) The area to the left of z = 2.90 is .9981 0 2.90 z 8. a) The area to the right of z = -3.49 is 1-0.0002 = 0.9998 -3.49 0 z b) The area to the right of z = -0.55 is 1-0.2912 = 0.7088 -0.55 0 z c) The area to the right of z = -2.23 is 1 -0.9901 =