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1 The following represents the observed distribution for the daily demand of tab

ID: 3370008 • Letter: 1

Question

1 The following represents the observed distribution for the daily demand of tablets sold at the AT&T; store 3 a. Determine the probability of each number of tablets being sold (0, 1,2...) 4 b. What is the expected daily demand of tablets? 5 c. What is the probability that the store will have demand for at least five tablets? 6 d., e. Calculate the variance and standard deviation for the daily demand of tablets. 8 Demand Frequency probabilitix-mean demand*probability demand frequency workings c 0.0875-5.35 0 add frequencies of -5 10 1 112 12 3 0.0375 4.35 0.0375 0.0625-3.35 0.125 0.0875-2.35 0.2625 0.15 1.35 0.6 0.1 0.35 0.5 0.06250.65 0.375 .1375 1.65 0.9625 .0875 2.65 0.7 0.0875 3.65 0.7875 3 total frequencies 10 probability c 21 workings d and e 48 mean 40 30 80 0.575 12 5.35 14 5 15 6 16 7 17 8 189 19 10 0.1 4.65 80 3.85 5.35 428 21 14.8225 5.35 0.575 standard deviation-?-v ?(x-X2Nl. variance is the square of standard deviation d. standard deviatio 1.48225 e. variance 27 28 29 30

Explanation / Answer

Your variance and sd are not correct.

Use the formula of variance V[X] = E[X2] - E2[x]

Demand(X) Freq Prob(p) x*p x2*p 0 7 0.0875 0 0 1 3 0.0375 0.0375 0.0375 2 5 0.0625 0.125 0.25 3 7 0.0875 0.2625 0.7875 4 12 0.15 0.6 2.4 5 8 0.1 0.5 2.5 6 5 0.0625 0.375 2.25 7 11 0.1375 0.9625 6.7375 8 7 0.0875 0.7 5.6 9 7 0.0875 0.7875 7.0875 10 8 0.1 1 10 80 1 5.35 37.65