2 Questions

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The probability that someone will prefer Coke over Pepsi is 0.56. A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the mean used in the calculation? (Round your answer to 1 decimal place, e.g. 15.7) The U.S. Federal Reserve System publishes data on family income based on its Survey of Consumer Finances. When the head of the household has a university degree, the mean pre-tax family income is $85,700. Suppose that 70% of the pre-tax family incomes when the head of the household as a university degree are between $76,400 and $95,000 and that these incomes are normally distributed. What is the standard deviation of pre-tax family incomes when the head of the household has a university degree? (Round the value of z to 2 decimal places, e.g. 0.75. Round your answer to 2 decimal places, e.g. 125.75.)