The accompanying table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. Complete parts (a) through (c) below. E Click the icon to view the distribution of hurricanes. Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The most common number of major hurricanes per year is hurricane(s). Distribution of Major Hurricanes O B. Every year will have at least hurricane(s). C. The average number of major hurricanes per year is 2.45 hurricane(s). y P(Y = y) y P(Y = y) 0.183 5 0.045 b. Obtain the standard deviation of the random variable. 0.284 6. 0.025 o = 2.459 (Round to three decimal places as needed.) 2 0.228 7 0.012 3 0.073 8 0.108 c. Draw a probability histogram for the random variable. Choose the correct graph below. 4 0.042 V Click here to view histogram d. Print Done Click here to view histogram b. O Click here to view histogram c. O Click here to view histogram a. The mean is 2.45. The one-standard-deviation interval is O. the two-standard-deviation interval is (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) and the three-standard-deviation interval is

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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The accompanying table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. Complete parts (a) through (c) below.
Click the icon to view the distribution of hurricanes.
Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
O A. The most common number of major hurricanes per year is
hurricane(s).
Distribution of Major Hurricanes
B. Every year will have at least
hurricane(s).
C. The average number of major hurricanes per year is 2.45 hurricane(s).
У
P(Y = y)
y
P(Y = y)
0.183
5
0.045
b. Obtain the standard deviation of the random variable.
1
0.284
0.025
o = 2.459 (Round to three decimal places as needed.)
2
0.228
7
0.012
0.073
0.108
c. Draw a probability histogram for the random variable. Choose the correct graph below.
4
0.042
Click here to view histogram d.
Print
Done
Click here to view histogram b.
Click here to view histogram c.
Click here to view histogram a.
The mean is 2.45. The one-standard-deviation interval is
the two-standard-deviation interval is |, , and the three-standard-deviation interval is
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
Transcribed Image Text:The accompanying table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. Complete parts (a) through (c) below. Click the icon to view the distribution of hurricanes. Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The most common number of major hurricanes per year is hurricane(s). Distribution of Major Hurricanes B. Every year will have at least hurricane(s). C. The average number of major hurricanes per year is 2.45 hurricane(s). У P(Y = y) y P(Y = y) 0.183 5 0.045 b. Obtain the standard deviation of the random variable. 1 0.284 0.025 o = 2.459 (Round to three decimal places as needed.) 2 0.228 7 0.012 0.073 0.108 c. Draw a probability histogram for the random variable. Choose the correct graph below. 4 0.042 Click here to view histogram d. Print Done Click here to view histogram b. Click here to view histogram c. Click here to view histogram a. The mean is 2.45. The one-standard-deviation interval is the two-standard-deviation interval is |, , and the three-standard-deviation interval is (Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls out of four children born to a randomly selected couple in that town. Its probability distribution is shown
below. Complete parts a through c.
to
X
2
4
P(X = x)
0.0867
0.2695
0.3673
0.1801
0.0964
c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below.
A.
В.
D.
Number of Girls
Number of Girls
Number of Girls
Number of Girls
0.5-
0.4-
0.34
0.2-
0.1-
0.5-
0.4-
0.3-
0.2-
01-
0-
0 1 2 3 4
0.5-
0.4-
0.3-
0.2-
0.1-
0-
0 1 2 3 4
0.5-
0.4-
0.3-
0.2-
0.1-
0-
0 1 2 3 4
0 1234
The mean is 1.93
(Type an integer or decimal rounded to four decimal places as needed.)
The one-standard-deviation interval is |, the two-standard-deviation interval is , |, and the three-standard-deviation interval is ||,
(Type integers or decimals rounded to four decimal places as needed. Use ascending order.)
Probability
Probability
Probability
Probability
Transcribed Image Text:A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls out of four children born to a randomly selected couple in that town. Its probability distribution is shown below. Complete parts a through c. to X 2 4 P(X = x) 0.0867 0.2695 0.3673 0.1801 0.0964 c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. A. В. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.4- 0.34 0.2- 0.1- 0.5- 0.4- 0.3- 0.2- 01- 0- 0 1 2 3 4 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 4 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 4 0 1234 The mean is 1.93 (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is |, the two-standard-deviation interval is , |, and the three-standard-deviation interval is ||, (Type integers or decimals rounded to four decimal places as needed. Use ascending order.) Probability Probability Probability Probability
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