By United States. Bureau of the Census. Population Division

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There are 4 × 3 × 2 = 24 color partitions of the partition 1 + 1 + 1. Thus, the total number of color partitions of the number 3 is 4 + 12 + 24 = 40. b. There are 7 partitions of the number 5: 5, 4 + 1 , 3 + 2 , 3 + 1 + 1 , 2 + 2 + 1 , 2 + 1 + 1 + 1 , 1 + 1 + 1 + 1 + 1. There are 4 color partitions of the partition 5. There are 4 × 3 = 12 color partitions of the partition 4 + 1. There are 4 × 3 = 12 color partitions of the partition 3 + 2. There are 4 × 3 × 2 = 24 color partitions of the partition 3 + 1 + 1.

There are 4 × 3 × 2 = 24 color partitions of the partition 1 + 1 + 1. Thus, the total number of color partitions of the number 3 is 4 + 12 + 24 = 40. b. There are 7 partitions of the number 5: 5, 4 + 1 , 3 + 2 , 3 + 1 + 1 , 2 + 2 + 1 , 2 + 1 + 1 + 1 , 1 + 1 + 1 + 1 + 1. There are 4 color partitions of the partition 5. There are 4 × 3 = 12 color partitions of the partition 4 + 1. There are 4 × 3 = 12 color partitions of the partition 3 + 2. There are 4 × 3 × 2 = 24 color partitions of the partition 3 + 1 + 1.

C. 79 a. 0028 Because the probability of getting a value greater than 10 is so small, it is very unlikely that the value of Y would exceed 10. c. We must assume that the probability of one part per million emissions is the same for all million parts and the amount of emissions in one million parts is independent of the amount of emissions for any other one million parts. b. 81 a. 7307 0! 1! 2! 20! 57 Discrete Random Variables b. P(5 ≤ Y ≤ 10) = p(5) + p(6) + p(7) +  + p(10) = c. 0303 5! 6! 7! 10!

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1980 census of population: Ancestry of the population by state: 1980. supplementary report National Census and Statistics Office, National Economic and Development Authority, Republic of the Philippines, Special Report (Том 1) by United States. Bureau of the Census. Population Division


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