# Continuous Random Variable Essay examples

699 Words3 Pages
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
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 =