1. Medicare's new medical plans offer a wide range of variations and choices for seniors when picking a drug plan. The monthly cost for a stand-alone drug plan varies from plan to plan and from state to state. The accompanying table gives the premium for the plan with the lowest cost for each state.

State	Cost per Month (dollars)
Alabama	9.25
Alaska	6.32
Arizona	10.76
Arkansas	9.10
California	10.11
Colorado	8.67
Connecticut	13.23
Delaware	8.34
District of Columbia	6.03
Florida	8.51
Georgia	1.87
Hawaii	6.55
Idaho	8.76
Illinois	1.87
Indiana	8.12
Iowa	8.36
Kansas	6.71
Kentucky	20.37
Louisiana	19.77
Maine	15.34
Maryland	18.41
Massachusetts	9.39
Michigan	11.86
Minnesota	11.75
Mississippi	4.91
Missouri	9.64
Montana	13.99
Nebraska	5.21
Nevada	13.37
New Hampshire	8.79
New Jersey	6.67
New Mexico	11.74
New York	13.47
North Carolina	1.87
North Dakota	12.61
Ohio	1.87
Oklahoma	6.61
Oregon	6.77
Pennsylvania	16.82
Rhode Island	7.33
South Carolina	7.37
South Dakota	1.87
Tennessee	1.87
Texas	15.62
Utah	16.74
Vermont	5.73
Virginia	12.20
Washington	8.75
West Virginia	12.75
Wisconsin	11.30
Wyoming	7.87

(a) Use class intervals of $0 to <$3, $3 to <$6, $6 to <$9, etc., to create a relative frequency distribution for these data. (Round your answers for relative frequency to three decimal places.)

Class Interval	Frequency	Relative Frequency
$0 - <$3
$3 - <$6	3	0.059
$6 - <$9
$9 - <$12
$12- <$15
$15 - <$18	4	0.078
$18 - <$21	3	0.059
TOTAL	51

2.Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean=5mland standard deviation= 0.2 mlis a reasonable model for the distribution of the variablex= amountof red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.)

(a)P(x<5) = (b)P(x<5.2)= (c)P(x5.2) = (d)P(4.8<x<5.2) = (e)P(x>4.5) = (f)P(x>4) =