I need help with could of problems:

The average return for large cap domestic stock funds over the three years 2009-2022 was 14.4%. assume that three year returns were normally distributed across funds with a standard deviation of 3.3%.

a. What is the probability an individual large cap domestic stock fund had a three year return of at least 20%?

b. What is the probability an individual large cap domestic stock fund had a three year return of 10% or less?

c. How big does the return have to be to put a domestic stick fund in the top 10% for the three year period?

New York City is the most expensive city in the US for lodging. The mean hotel room rate is $204 per night. assume that room rates are normally distributed with a standard deviation of $55.

a. What is the probability that a hotel room cost $225 or more per night?

b. What is the probability that a hotel room costs less that $140 per night?

c. What is the probability that a hotel room costs between $200 and $300 per night?

d. What is the cost of the most expensive 20% of hotel rooms in New York City?

The following date are from a simple random sample ( 5, 8, 10, 7, 10,14)

a.     What is the point estimate of the population mean?

b.     What is the point estimate of the population standard deviation?

In this section we showed how a simple random sample of 30 EAI employees can be used to develop point estimates of the population mean annual salary, the population standard deviation for annual salary, and the population proportion having completed the management training program.

a. Use Excel to select a simple random sample of 50 EAI employees.

b. Develop a point estimate of the mean annual salary.

c. Develop a point estimate of the population standard deviation for annual salary.

d. Develop a point estimate of the population proportion having completed the management training program.

The president of Doerman Distributors, Inc. Believes that 30% of the firms orders come from firs time customers. A random sample of 100 orders will be used to estimate the proportion of first time customers.

a. assume that the president is correct and p=0.30. what is the sampling distribution of P for this study?

b. What is the probability that the sample proportion P will be between 0.20 and 0.40?

c. What is the probability that the sample proportion will be between 0.25 and 0.35?