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Please answer hi-lighted questions 3 & 4. All Information needed provided in picture below. Information: Suppose that 35% of all registered voters agree with a

Please answer hi-lighted questions 3 & 4. All Information needed provided in picture below.

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Information: Suppose that 35% of all registered voters agree with a particular government policy. A pollster selects a random sample of 2500 registered voters and asks whether they agree with the policy. Let the random variable X be the number of voters in the sample expressing approval for the policy. Then X has a binomial distribution. 1. What is the mean of the distribution of X? (round to two decimal places) 2. What is the variance of distribution X? (round to two decimal places) 3. Use the Normal approximation to the Binomial distribution to approximate the probability of obtaining a sample in which more than 925 people in the sample agree with the government policy. Be sure to use the continuity correction factor. Use the standard normal table to look up the probability, and before doing the look-up round the z-value to 2 decimal places to match the precision of the z-values in the table. (Round the resulting probability itself to five decimal places, consistent with the probabilities given in the table). 4. The value of this probability computed using the exact distribution of X is 0.0174 (rounded to four decimal places). Compute the relative error of the approximation computed using the Normal approximation to the Binomial in the previous question. (Round the relative error to two decimal places). Note: Do not include the "%" symbol. Enter only the value

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