c) A manufacturer collected a sample of 500 light bulbs to conduct a study on the lifespan of that particular type of light bulb. The table summarizes the frequency distribution for the lifespan. 1 Lifetime of Bulbs (hours) 300-399 Number of Bulbs 4 400-499 28 500-599 97 600-699 242 700-799 96 800-899 27 900-999 Total 500 Required: i) By calculating the Mean, Median, Mode, Standard Deviation, the First Pearsonian Moment Coefficient of Skewness and the Second Pearsonian Moment Coefficient of Skewness comment on the Skewness of the distribution. ii) Assuming the distribution approximates a Normal Distribution what is the probability that a bulb selected at random would have a lifespan: 1. Between 500 and 750 hours. 2. Less than 450 hours. 3. Greater than 820 hours.

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c) A manufacturer collected a sample of 500 light bulbs to conduct a study on the lifespan
of that particular type of light bulb. The table summarizes the frequency distribution for
the lifespan.
1
Number
of Bulbs
Lifetime of Bulbs
_(hours)
300-399
4
400-499
28
500-599
97
600-699
242
700-799
96
800-899
27
900-999
6.
Total
500
Required:
i) By calculating the Mean, Median, Mode, Standard Deviation, the First Pearsonian
Moment Coefficient of Skewness and the Second Pearsonian Moment Coefficient of
Skewness comment on the Skewness of the distribution.
ii) Assuming the distribution approximates a Normal Distribution what is the probability that
a bulb selected at random would have a lifespan:
1. Between 500 and 750 hours.
2. Less than 450 hours.
3. Greater than 820 hours.
Transcribed Image Text:c) A manufacturer collected a sample of 500 light bulbs to conduct a study on the lifespan of that particular type of light bulb. The table summarizes the frequency distribution for the lifespan. 1 Number of Bulbs Lifetime of Bulbs _(hours) 300-399 4 400-499 28 500-599 97 600-699 242 700-799 96 800-899 27 900-999 6. Total 500 Required: i) By calculating the Mean, Median, Mode, Standard Deviation, the First Pearsonian Moment Coefficient of Skewness and the Second Pearsonian Moment Coefficient of Skewness comment on the Skewness of the distribution. ii) Assuming the distribution approximates a Normal Distribution what is the probability that a bulb selected at random would have a lifespan: 1. Between 500 and 750 hours. 2. Less than 450 hours. 3. Greater than 820 hours.
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