The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and eight years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. X 0.2 1.5 2.8 4.1 5.4 6.7 8 0.2 1.5 2.8 4.1 5.4 6.7 8 0.2 1.5 2.8 4.1 5.4 6.7 8. 0.2 1.5 2.8 4.1 5.4 6.7 8 (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of
time a CD player lasts.
Find the probability that a CD player will last between 2.8 and eight years.
(a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.
X
X
0.2
1.5
2.8
4.1
5.4
6.7
8
0.2
1.5
2.8
4.1 5.4
6.7
8
0.2
1.5
2.8
4.1
5.4
6.7 8
0.2
1.5
2.8
4.1
5.4
6.7
8
(b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.)
of
< x <
Transcribed Image Text:The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and eight years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. X X 0.2 1.5 2.8 4.1 5.4 6.7 8 0.2 1.5 2.8 4.1 5.4 6.7 8 0.2 1.5 2.8 4.1 5.4 6.7 8 0.2 1.5 2.8 4.1 5.4 6.7 8 (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) of < x <
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