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Part 1,What is the Expected Value for the following discrete probability distribution ? x P(X) 0 0.02 1 0.09 2 0.05 3 0 4 0.02

Part 1,What is the Expected Value for the following discrete probability distribution ?

x P(X)
0 0.02
1 0.09
2 0.05
3 0
4 0.02
5 0.14
6 0.05
7 0.23
8 0.02
9 0.16
10 0.22

Part 2,For this binomial distribution, what is the Expected Value for the number of successes when sample size is 113 with a probability of 0.82?

Part3,For this binomial distribution, what is the standard deviation for the number of successes when sample size is 57 with a probability of 0.30?

Part4, What is the Central Limit Probability where x is less than 111.86 for a population mean of 133, and standard deviation of 58.52 where the sample size is 46?

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