2. X has a normal distribution with a mean of 75.0 and a standard deviation of 2

2. X has a normal distribution with a mean of 75.0 and a standard deviation of 2.5. Find the following probabilities: MUST SHOW WORKa)P(x b)P(72.5 c)P(x >82.5) 3. Assume that the average annual salary for a worker in the United States is $27500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6250. Find the following: MUST SHOW WORKd What percentage of Americans earn below $18000? e)What percentage of Americans earn above $40000? 4. Find the value of z such that 40% of the distribution lies between it and the mean. 5. Assume that the average annual salary for a worker in the United States is $27500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6250. Find the following: MUST SHOW WORK d)What percentage of Americans earn below $18000?