Solve using coding in R script: 1) Given a standard normal distribution, find the value of...

Solve using coding in R script:

1) Given a standard normal distribution, find the value of k such that P(Z < k) = 0.0197.

2) Given a normal distribution with mu = E(X) = 32 and sigma^2 = V(X) = 30, find the normal curve area to the left of x = 31. Report your code as well as your final answer (4 decimals).

3) A company pays its employees an average wage of $17.90 an hour with a standard deviation of $1.50. If the wages are approximately normally distributed and paid to the nearest cent, the highest 2.5% of the employees hourly wages is greater than what amount?

4) Review question: Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X < k) = 0.6625. What is the value of k?

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Expert Solution

orchestra answered 1 year ago

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