# The daily demand, D, of sodas in the break room is:D 0 1 2 3P(D=d) 0.1 0.2 0.4 0.3i) Find the probability that the demand is at most 2.ii) Compute the average demand of sodas.iii) Compute SD of daily demand of sodas.

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The daily demand, D, of sodas in the break room is:
D 0 1 2 3
P(D=d) 0.1 0.2 0.4 0.3
i) Find the probability that the demand is at most 2.
ii) Compute the average demand of sodas.
iii) Compute SD of daily demand of sodas.

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Step 1

Given probability distribution shown below.

We need to find probability that Daily demand D is at most 2.

This means that D maximum possible value of D will be 2. So D can take values 0,1,2.

P(at most 2) = P(D=0) + P(D=1)+P(D=2) = 0.1+0.2+0.4 = 0.7

Step 2

Given probability distribution in D and P(D) then the average or mean is given by the below mention...

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