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The average sale price (online) for four year old harley davidson touring motorcycles is approximately normally distributed with a mean of $14,000 and a standard deviation of $4,000.

a) molly has saved up $15,000 to spend on a motorcycle. what proportion of the available motorcycles of this type can she afford?

b) what is the 30th percentile for the prices of motorcycles of this type?

c) show that a motorcycle priced at $25,000 would be considered an outlier by the 1.5 x iqr rule.

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