Suppose that, on average, beginning teachers earn approximately $33,800 a year i
ID: 3064141 • Letter: S
Question
Suppose that, on average, beginning teachers earn approximately $33,800 a year in the United States. The distribution of starting salaries is a normally distributed random variable with standard deviation $3,500. a. What is the probability that a randomly selected first year teacher earns more than $35,000? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) b. What is the probability that the average salary of four randomly selected first-year teachers is more than $35,000? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.) c. If four first-year teachers are randomly selected, what is the probability that all of the teachers earn more than $35,000?(Round “z” value to 2 decimal places, and final answer to 4 decimal places.)
Explanation / Answer
a)
b)
c)
probability that all of the teachers earn more than $35,000 =(0.3669)4 =0.0181
( please revert if any answer is not matching)
for normal distribution z score =(X-)/ here mean= = 33800 std deviation == 3500.000Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.