A gathering of youngsters is figuring out how to play darts. Keeping track of who's winning has been a test so they chose to adjust the guidelines for scoring. As is standard in darts, the red dead center in the focal point of the objective is worth 50 focuses, and the little green ring encompassing the pinpoint center is worth 25 focuses. Adart falling in the white pie-molded districts is scored 5 focuses, and one arriving in the dark pie-formed locales is worth 10 focuses. The score is multiplied if the dart falls in the external little ring, and it is significantly increased on the off chance that it falls in the internal little ring. No focuses are scored if the dart falls outside the external little ring. The standard measurements for a dartboard are recorded in the table that follows. Expect that the wire used to shape the areas has no width.

At the point when one of the kids tosses a dart, it generally hits the board, yet the dart is similarly prone to hit on any point on the board. Under the changed scoring framework, discover the likelihood work for the score acquired from a solitary toss of the dart.

Twofold and triple ring inside width measurements Bull inside distance across Semicenter inside breadth Outside edge of twofold wire to focus bull Outside edge of high pitch wire to focus bull Outside edge of twofold wire to outside edge of twofold wire Overall dartboard width

8 mm 12.7 mm 31.8 mm 170 mm 107 mm 340 mm 451 mm

Source: hup://www.darlsonada.com

Question 42

The size dispersion of U.S. families is appeared in the accompanying table. Number of Persons Percentage 1 25.7 2 32.2 3 16.9 4 15.0 5 6.9 6 2.2 at least 7 1.1

a Calculate the mean and the standard deviation of family size. Are these accurate qualities or approximations? b How does the mean family size contrast with the middle family size?

Question 43

The following table shows the assessed number of AIDS cases in the United States by age bunch. Quantities of AIDS Cases in the U.S. during 2004

Age Number of Cases Under 14 108 15 to 19 326 20 to 24 1,788 25 to 29 3,576 30 to 34 4,786 35 to 39 8,031 40 to 44 8,747 45 to 49 6,245 50 to 54 3,932 55 to 59 2,079 60 to 64 996 65 or more seasoned 901 Total 41,515

Source: U.S. Places for Disease Control and Prevention. Allow X to mean the age of an individual with AIDS. a Using the midpoint of the stretch to address the age of all people in that age classification, track down the estimated likelihood dispersion for X. b Approximate the mean and the standard deviation of this age conveyance. c How does the mean age contrast with the estimated middle age?

Question 44

In a special exertion, new clients are urged to enter an online sweepstakes. To play, the new client picks 9 numbers somewhere in the range of 1 and 50, comprehensive. Toward the finish of the special time frame, 9 numbers from 1 to 50, comprehensive, are drawn without substitution from a container. On the off chance that the client's 9 numbers match those drawn (without worry for request), the client wins $5,000,000.

a What is the likelihood that an arbitrarily chosen new client wins the $5,000,000? b What is the normal worth and change of the rewards? c If another client needed to mail in the picked numbers, accepting that the expense of shipping is $0.50, what is the generally anticipated worth and difference of the rewards?