A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Show your work.

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:

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lbc corporation makes and sells a product called product wz. each unit of product wz requires 4.1 hours of direct labor at the rate of $20.00 per direct labor-hour. management would like you to prepare a direct labor budget for june. the company plans to sell 28,000 units of product wz in june. the finished goods inventories o