Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX-N (4100 62000 Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) 0.6947 Part (f) Find the 70th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $ 14200 Part (g) Find the 70th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) $ 420273

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

Please solve all parts i will give like

Salaries for teachers in a particular elementary school district are normally
distributed with a mean of $41,000 and a standard deviation of $6,200. We
randomly survey ten teachers from that district.
Part (d)
Give the distribution of EX. (Round your answers to two decimal places.)
EX-N (1000
62000
Part (e)
Find the probability that the teachers earn a total of over $400,000. (Round your answer
to four decimal places.)
0.6947
Part (f)
Find the 70th percentile for an individual teacher's salary. (Round your answer to the
nearest whole number.)
$ 14250
Part (g)
Find the 70th percentile for the sum of ten teachers' salary. (Round your answer to the
nearest whole number.)
$ 420273
Transcribed Image Text:Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX-N (1000 62000 Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) 0.6947 Part (f) Find the 70th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $ 14250 Part (g) Find the 70th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) $ 420273
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON