What is the probability this could occur by chance

Assignment Help Basic Statistics
Reference no: EM131134285

The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.7 years. The standard deviation of the distribution is 2.8 years.

For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.2 years?

Probability

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 5.00 minutes and the standard deviation was 0.40 minutes.

a. What fraction of the calls last between 5.00 and 5.80 minutes?

b. What fraction of the calls last more than 5.80 minutes?

c. What fraction of the calls last between 5.80 and 6.50 minutes?

d. What fraction of the calls last between 4.50 and 6.50 minutes?

e. As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 6 percent of the calls. What is this time?

The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,300. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 720 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last.

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time?

Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $5,957 per hour and a standard deviation of $492.

What is the operating cost for the lowest 5% of the airplanes?

A normal population has a mean of 20 and a standard deviation of 4.

a. Compute the z value associated with 24.
b. What proportion of the population is between 20 and 24?
c.  What proportion of the population is less than 15?

According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down in January, it will be down for the year. According to an article in The Wall Street Journal, this theory held for 24 out of the last 34 years. Suppose there is no truth to this theory; that is, the probability it is either up or down is 0.5.

What is the probability this could occur by chance?

The Internal Revenue Service is studying the category of charitable contributions. A sample of 34 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 34 returns, 8 had charitable contributions of more than $1,000. Suppose 7 of these returns are selected for a comprehensive audit.

a. You should use the hypergeometric distribution is appropriate. Because

(Click to select)you are sampling a small population without replacement.you are sampling a large population without replacement.you are sampling a small population with replacement.

b.  What is the probability exactly one of the seven audited had a charitable deduction of more than $1,000?

c. What is the probability at least one of the audited returns had a charitable contribution of more than $1,000?

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.

Admissions    Probability
1,070                0.2
1,460                0.1
1,560                0.7

1. What is the expected number of admissions for the fall semester? Expected number of admissions

2. Compute the variance and the standard deviation of the number of admissions.

Reference no: EM131134285

Questions Cloud

What was the total amount of dividends paid in 2007 : 1. A high percentage of Americans own stock in corporations. As a shareholder in a corporation, you will receive an annual report. One of the goals of this course is for you to learn how to navigate your way around an annual report.
A spreadsheet using excel or a similar program : Prepare a spreadsheet using Excel or a similar program in which you compute the items listed in parts a, b, and d. Be sure to compute the Yield-to-Maturity (YTM) and Yield-to-Call (YTC) for each of years 5, 6, 7, 8, and 9.
Explain the outcomes of a cooperative game : Explain what Bob's "tit-for-tat strategic behavior" would be if he wished to see the game.
Up of fixed expenses and variable expenses : 1. Since a budget is made up of fixed expenses and variable expenses, identify which of Shelby's expenses fall into each category. Then total each category and compare it to her monthly income to determine if she has a surplus or deficit.
What is the probability this could occur by chance : What is the probability exactly one of the seven audited had a charitable deduction of more than $1,000? What is the probability at least one of the audited returns had a charitable contribution of more than $1,000?
Design the physical layout for the him department : Design the physical layout for the HIM department for a 250-bed acute care hospital. When designing the department, consider the equipment needs, the workflow, and the tasks involved.
Describe the adjustment process : Describe the adjustment process, assuming that output began at its natural (fullemployment) level.
Analysis resource and include the three key ideas developed : For your Week Three assignment, you will write a two and a half page draft (excluding the title and references page) of your Week Five Literary Analysis. The draft should contain a working thesis (which you wrote in the Week One assignment), an in..
Draw cause-and-effect diagram that assesses : Draw a cause-and-effect diagram that assesses why some of the company’s supply chain partners might have struggled to implement some of the company’s newly developed materials. Summarize your findings from the diagram.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Statistics-probability assignment

MATH1550H: Assignment:  Question:  A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..

  What is the least number

MATH1550H: Assignment:  Question:     what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?

  Determine the value of k

MATH1550H: Assignment:  Question:     Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form

  What is the probability

MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?

  Binomial distributions

MATH1550H: Assignment:  Questions:  Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.

  Caselet on mcdonald’s vs. burger king - waiting time

Caselet on McDonald’s vs. Burger King - Waiting time

  Generate descriptive statistics

Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.

  Sampling variability and standard error

Problems on Sampling Variability and Standard Error and Confidence Intervals

  Estimate the population mean

Estimate the population mean

  Conduct a marketing experiment

Conduct a marketing experiment in which students are to taste one of two different brands of soft drink

  Find out the probability

Find out the probability

  Linear programming models

LINEAR PROGRAMMING MODELS

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd