A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed wit

Question

22 days ago

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A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed wit

h a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Show your work.

Business

1 answer:

marusya05 [3K] · Answer 1 · 2026-03-14T13:27:07+03:00

74.64%. The mean sales (μ) standing at 50 hot dogs and a standard deviation (σ) of 7 hot dogs. For any given volume of hot dogs sold, X, the z-score is utilized as follows: For X = 45 hot dogs, we compute the corresponding z-score. Similarly, for X = 65 hot dogs, we obtain another z-score. A z-score of -0.7143 indicates the 23.75 percentile, while z = 2.1429 represents the 98.39 percentile. This leads to the calculated probability that the vendor sells between 45 and 65 hot dogs.