Exercise 11.0:The mean weight of boxes shipped by a company is 12 lbs, with a standard deviation of 4 lbs. Assume weight of boxes follows Normal Distribution. Boxes are shipped in palettes of 10 boxes. The shipper has a limit of 150 lbs for such shipments. What’s the probability that a palette of 10 boxes will exceed that limit (150 lbs)? HINT: Prob (total weight of a sample of 10 boxes >150 lbs) = Prob (the sample mean weight ( ) > 15 lbs)푦

The probability that a palette of 10 boxes will exceed the limit of 150 lbs is 0.0089.

Step-by-step explanation:

Let X = the weight of boxes shipped by a company.

The random variable x follows a Normal distribution with mean, μ = 12 lbs and standard deviation, σ = 4 lbs.

Each palettes shipped, contains n = 10 boxes.

The sample mean weight of the boxes follows a Normal distribution with mean, and standard deviation, .

Compute the probability that the sample mean weight of the 10 boxes exceed 15 lbs as follows:

*Use a z-table for the probability.

Thus, the probability that a palette of 10 boxes will exceed the limit of 150 lbs is 0.0089.

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step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or