The quarterly returns for a group of 55 mutual funds are well modeled by a Normal model with a mean of 8.4% and a standard deviation of 1.9%. Use the 68-95-99.7 Rule to find the cutoff values that would separate the following percentages of funds, rather than using technology to find the exact values. a) the highest 50% b) the highest 16% c) the lowest 2.5%

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Select the correct choice (i, ii, or iii) for each a, b, c, d, and fill in any answer boxes in your choice below.
​(Round to one decimal place as​ needed.)
 
i.
x ≤ ___ %
 
ii.
x ≥ ___​%
 
iii.
___​% ≤ x ≤ ___​%
The quarterly returns for a group of 55 mutual funds are well modeled by a Normal model with a mean of 8.4% and a standard deviation of 1.9%. Use the 68-95-99.7
Rule to find the cutoff values that would separate the following percentages of funds, rather than using technology to find the exact values.
a) the highest 50%
b) the highest 16%
c) the lowest 2.5%
d) the middle 68%
Transcribed Image Text:The quarterly returns for a group of 55 mutual funds are well modeled by a Normal model with a mean of 8.4% and a standard deviation of 1.9%. Use the 68-95-99.7 Rule to find the cutoff values that would separate the following percentages of funds, rather than using technology to find the exact values. a) the highest 50% b) the highest 16% c) the lowest 2.5% d) the middle 68%
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