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A set of electric toothbrush prices are normally distributed with a mean of $878.78 and a standard deviation of $88. What proportion of electric toothbrush prices are between $104.60 and $108.20?

a. 0.2000
b. 0.1179
c. 0.2630
d. 0.1659

User Chiru
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1 Answer

3 votes

Final answer:

The electric toothbrush price values given are far below the mean, indicating an error. To calculate the correct proportion of prices in a normal distribution, one needs accurate values to compute the z-scores and find the proportion from a standard normal distribution table.

Step-by-step explanation:

The question involves finding the proportion of electric toothbrush prices that are between $104.60 and $108.20, given a normal distribution with a mean of $878.78 and a standard deviation of $88. The prices mentioned are significantly lower than the mean, likely indicating a typo or an error in the given values. Proper statistical analysis using z-scores cannot be applied with such values without correcting the error. However, assuming the question involves a correct set of values, you would calculate the z-scores for each price limit and then use a standard normal distribution table or a calculator to find the proportion between those z-scores.

User John Arlen
by
7.9k points