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If X Is a Normal Random Variable with a Mean \geq

question 85

Essay

If X is a normal random variable with a mean of 45 and a standard deviation of 8, find the following probabilities:
a. P(X \geq 50).
b. P(X \leq 32).
c. P(37 \leq X \leq 48).
d. P(50 \leq X \leq 60).
e. P(X = 45).


Definitions:

EOQ

Economic Order Quantity (EOQ) is a decision tool used in inventory management to determine the optimal order size that minimizes the sum of ordering and holding costs.

Inventory Carrying Costs

The total costs associated with holding and storing unsold goods, including storage, insurance, and obsolescence.

Ordering Costs

Expenses associated with the process of ordering inventory, including costs related to paperwork, communication, and transportation of goods.

Memory Chips

Electronic components used in devices for the purpose of data storage and processing.

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