3. Normal Probability Assume that the lengths of songs on the radio are normally distributed with a mean of 213 seconds, and a standard deviation of 21 seconds. a. What percent of songs on the radio are 200 seconds or shorter? b. What percent of songs on the radio are at least 240 seconds long? c. If a song on the radio is selected randomly, what is the probability that it lasts between 180 and 210 seconds? d. A radio station wants to identify all songs that are in the lowest 5% by length. How long would a song need to last to fall in this group? (Round your answer to the nearest whole number.)
3. Normal Probability Assume that the lengths of songs on the radio are normally distributed with a mean of 213 seconds, and a standard deviation of 21 seconds. a. What percent of songs on the radio are 200 seconds or shorter? b. What percent of songs on the radio are at least 240 seconds long? c. If a song on the radio is selected randomly, what is the probability that it lasts between 180 and 210 seconds? d. A radio station wants to identify all songs that are in the lowest 5% by length. How long would a song need to last to fall in this group? (Round your answer to the nearest whole number.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. Normal Probability
Assume that the lengths of songs on the radio are
a. What percent of songs on the radio are 200 seconds or shorter?
b. What percent of songs on the radio are at least 240 seconds long?
c. If a song on the radio is selected randomly, what is the probability that it lasts between 180 and 210 seconds?
d. A radio station wants to identify all songs that are in the lowest 5% by length. How long would a song need to last to fall in this group? (Round your answer to the nearest whole number.)
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