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(a) Can we use the normal distribution to compute probabilities of length of unemployment of one individual in this case? Yes, we can use normal distribution to compute probabilities of length of unemployment of one individual because we are told that the distribution of length of unemployment of one individual is normally distributed. No, we cannot use normal distribution to compute probabilities of length of unemployment of one individual because the distribution of length of unemployment of one individual is unknown. No, we cannot use normal distribution compute probabilities of length of unemployment of one individual because we don't know the standard deviation of the length of unemployment of one individual. Yes, we can use normal distribution to compute probabilities of length of unemployment of one individual because the distribution of length of unemployment of one individual is always normally distributed. (b) Can we use the normal distribution to compute probabilities of length of unemployment of the average of 20 unemployed individuals in this case? Yes, we can use the normal distribution to compute probabilities of length of unemployment of the average of 20 unemployed individuals because the sample size 20 is large enough. No, we cannot use the normal distribution to compute probabilities of length of unemployment of the average of 20 unemployed individuals because the sample size 20 is not large enough. Yes, we can use the normal distribution to compute probabilities of length of unemployment of the average of 20 unemployed individuals because the average length of unemployment is always normally distributed. No, we cannot use the normal distribution to compute probabilities of length of unemployment of the average of 20 unemployed individuals because we can't compute the standard error in this case. (c) State the Central Limit Theorem. If a random sample of size n is taken from any population, the distribution of the sample standard deviation becomes normal as the sample size increases. If a random sample of size n is taken from any population, the distribution of the sample mean is normal regardless of the sample size. If a random sample of size n is taken from any population, the distribution of the sample mean becomes normal as the sample size increases. If a random sample of size n is taken from any population, the distribution of the sample median becomes normal as the sample size increases.