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allsm [11]
3 years ago
10

The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following

data with waiting times in minutes were collected over 1-month.
2; 5; 10; 12; 4; 4; 5; 17; 11; 8; 9; 8; 12; 21; 6; 8; 7; 13; 18; 3
Using classes of 0-4, 5-9, and so on, construct:
a. The frequency distribution.
b. The relative frequency distribution.
c. The cumulative frequency distribution.
d. The proportion of customers needing an oil change who wait 9 minutes or less.
Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

(c)The cumulative frequency distribution.

\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

=\dfrac{12}{20} \\\\=0.6

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Step-by-step explanation:

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The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

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==================

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