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a company uses 85 circuit boards a day in a manufacturing process. the person who orders the boards follows this rule: order when the amount on hand drops to 625 boards. orders are delivered approximately six days after being placed. the delivery time is normal with a mean of six days and a standard deviation of 1.10 days. what is the probability that the supply of circuit boards will be exhausted before the order is received?



Answer :

The probability that the supply of circuit boards will be exhausted before the order is received if boards are reordered when the amount on hand drops to 625 boards is 0.1093.

After an order is placed, (X) days will pass before the company runs out of stock.

X = stock/demmand 

=625 / 85

=7.35

Using the normal distribution as a baseline,

Mean (μ) = 6

1.10 = Standard deviation

Z-score for X=7.353 is as follows,

z = x - mean / SD

= 7.35 - 6 / 1.10

=1. 23

A score of 1.23 is in the 0.8907th percentile, per the z-score table. As a result, the likelihood that the delivery will take more than 7.353 days is,

P(X > 7.35) = 1 - 0.8907

=0.1093

To learn more about probability

brainly.com/question/11034287

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