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Consider the standard normal cure, where μ = 0 and σ=1. Round answers to 4 decimal...

Consider the standard normal cure, where μ = 0 and σ=1. Round answers to 4 decimal places.

a. find the value z so that 90% of the area under the curve is between -z and z.

b. find the value of z so that 95% of the area under the curve is between -z and z.

c. find the value z so that 99% of the area under the curve is between -z and z.

d. Kevin is looking to invest his money in a local investment company called Robin Hood financial services. To ensure his investment is safe and has good returns, he randomly surveys people who invested with the company and asks whether they would recommend the company for investment. Of the 420 people surveyed, 265 recommend Robin Hood financial services for investment.Using this data, Kevin wants to estimate the actual proportion of people who recommend Robin Hood financial services for investment.What is the estimated standard error of the sample proportion used to calculate a confidence interval?

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