a. On a random day, a store can sell a mean value of 32 pasta packages and a standard deviation of 4. What is the probability that the total number of pasta packages sold by the store for a random sample of 58 days is less than 1862? Explain.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question 4.
a.
On a random day, a store can sell a
mean value of 32 pasta packages and a standard
deviation of 4. What is the probability that the total
number of pasta packages sold by the store for a
random sample of 58 days is less than 1862? Explain.
Let
b.
X₁, X2, X3, and X4
represent the weight of shipment packages at a
certain shipment facility. Suppose they are
independent normal random variables with means
M₁ = 0.8, M₂ = 2.6, μ3 = 8.4, µ4 = 2.3 pounds
and variances
. Find
o² = 0² = 0} = 0} = 1
P(3X₁ + 1X2 + 1X3 + 2X4 ≤ 16.8)
Transcribed Image Text:Question 4. a. On a random day, a store can sell a mean value of 32 pasta packages and a standard deviation of 4. What is the probability that the total number of pasta packages sold by the store for a random sample of 58 days is less than 1862? Explain. Let b. X₁, X2, X3, and X4 represent the weight of shipment packages at a certain shipment facility. Suppose they are independent normal random variables with means M₁ = 0.8, M₂ = 2.6, μ3 = 8.4, µ4 = 2.3 pounds and variances . Find o² = 0² = 0} = 0} = 1 P(3X₁ + 1X2 + 1X3 + 2X4 ≤ 16.8)
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