Barry is a single, 40-year-old software engineer earning $190,000 a year and is not covered by a pension plan at work. How much
1 answer:
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Answer:
74.64%
Explanation:
Average sales (μ) = 50 hot dogs
Standard deviation (σ) = 7 hot dogs
In a normal distribution, the z-score for any given number of hot dogs sold, X, is determined by:
For X = 45 hot dogs:
For X = 65 hot dogs:
A z-score of -0.7143 falls in the 23.75th percentile of a normal distribution while a z-score of 2.1429 falls in the 98.39th percentile.
Therefore, the probability that he vendor will sell between 45 and 65 hot dogs is: