Question: The time a construction crew takes to construct a building is normally distributed with mean 90 days and standard deviation 10 days. After construction, it

The time a construction crew takes to construct a building is normally distributed with mean 90 days and standard deviation 10 days. After construction, it takes additional time to install utilities and finish the interior. Assume the additional time is independent of the construction time, and is normally distributed with mean 30 days and standard deviation 5 days.

(a) Find the probability it takes at least 101 days for the construction of only a building.

(b) Find the probability it takes an average of 101 days for the construction of only four buildings.

(c) What is the probability that the total completion time for one building is at most 130 days?

(d) What is the probability that the average additional completion time for five buildings is at least 35 days?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Probability For Applications Questions!

Question 1 : (30 marks ) Star Motors is considering whether to introduce a new car model called the Cheetah. The profitability of the Cheetah will depend on the following factors: a. Fixed cost of...

BUIS024 Portfolio CW Part 1 Given 20/10/16 Due 24/11/16 for intermediate feedback; Final deadline: 9/01/17, 10 am Note: This is the first part of the coursework given in this module and counts for...

2. The marketing manager of a company has noted that she usually receives 10 complaint calls from customers during aweek (assume a week has 7 days), and that the calls are independent, and assume a...

Utilization Project Number of Storage Bin Percentage Oven Setup Cards prior Cards after Project Cost Completed Completed Incremental Inspectors Capacity Defective Time Profit to Project the Project...

In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean / = 520 and standard deviation o = 115....

Week 5 Homework 40 pts-Stacy True Student: Stacy True Date: 4/1/16 1. 4/1/16, 6:09 PM Instructor: JosephJoe D'Mello Course: Statistics for Decision Making (35) Assignment: Week 5 Homework 40 pts Find...

For hypothesis tests show the null and alternative hypothesis - the assignment of the claim, the distribution with the rejection and failure to reject regions, the p-value (if appropriate) the test...

Develop a complete CTQ diagram making sure to establish the customer's need up to the CTQ specifications. Be sure to integrate actual metrics and explain the assumptions made to complete the diagram....

MGSC2207 Summer Session II 2016 ASSIGNMENT 1 Due: July 19th , 2016 9:00 a.m. Mark:___________/78_____ MARKS = 18 + 23 + 18 + 19 = 78 Name (print) __________________________ Student #...

You pick a card at random, put it back, and then pick another card at random. 234 What is the probability of picking a 4 and then picking a 4 ? Write your answer as a fraction or whole number.

According to Cadbury Report, Corporate Governance is the system by which companies are directed and controlled (Keasey, et al, 2005). Furthermore, Cadbury recognized that a system of good corporate...

Question 4 ( 2 . 5 points ) 4 . A zero coupon bond is a bond that pays no interest and is offered ( and initially sell compensation to investors in the form of capital appreciation. True False 3 of 4...

Find the difference. Write the difference in lowest terms. 21 3/5 - 12 7/10