1)- The marketing director for a small manufacturer of personal computers (PCs)'believes that the discrete probability distribution shown in the following table characterizes the number, y, of new PDs the firm will lease next year Leased Personal Computers 7 8 10 11 12 13 ply) 0.10 0.10 0.15 0.20 0.20 0.15 0.10 1. Is this a valid probability distribution? 2. What is the probability that exactly 9 PCs will be leased? 3. What is the probability that fewer than 12 PCs will be leased? 4. Determine the mean of the probability distribution. 5. Determine the variance of the probability distribution. 6. The manufacturer leases new PCs at a cost of $15,000 per year. Find the mean and variance of the total amount the company will earn next year from leasing PCs.

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1) 4,5, and 6 please. Solve them step by step.
1)- The marketing director for a small manufacturer of personal computers (PCs) believes that the discrete probability
distribution shown in the following table characterizes the number, y, of new PDs the firm will lease next year
Leased Personal Computers
7
10
11
12
13
p(y)
0.10
0.10
0.15
0.20
0.20
0.15
0.10
1. Is this a valid probability distribution?
2. What is the probability that exactly 9 PCs will be leased?
3. What is the probability that fewer than 12 PCs will be leased?
4. Determine the mean of the probability distribution.
5. Determine the variance of the probability distribution.
6. The manufacturer leases new PCs at a cost of $15,000 per year. Find the mean and variance of the total amount the
company will earn next year from leasing PCs.
Transcribed Image Text:1)- The marketing director for a small manufacturer of personal computers (PCs) believes that the discrete probability distribution shown in the following table characterizes the number, y, of new PDs the firm will lease next year Leased Personal Computers 7 10 11 12 13 p(y) 0.10 0.10 0.15 0.20 0.20 0.15 0.10 1. Is this a valid probability distribution? 2. What is the probability that exactly 9 PCs will be leased? 3. What is the probability that fewer than 12 PCs will be leased? 4. Determine the mean of the probability distribution. 5. Determine the variance of the probability distribution. 6. The manufacturer leases new PCs at a cost of $15,000 per year. Find the mean and variance of the total amount the company will earn next year from leasing PCs.
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