Question: Hi, please help me to figure out this problem, thank you! The grades on a recent stats test followed a continuous distribution whose density function

Hi, please help me to figure out this problem, thank you!

The grades on a recent stats test followed a continuous distribution whose density function is a perfectly symmetric triangle from 0 to 100.

(a) Draw this distribution and label your axis exactly

(b) What is the mean of this distribution? why?

(c) What is the probability a random student scored over 72%?

(d) What is the probability a random student scored under 35%?

(e) What is the probability a random student scored between 45 and 65%?

(f) What is the probability a random student scored between 60 and 75%?

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 Mathematics Questions!

Q:

In an issue of Consumer Reports, different cell phone providers and plans were compared. The monthly fees, in dollars, for a sample of the providers and plans are shown in the following table. a. Use...

Q:

"Any single erroneous assumption can result in a negative effect where positive results were expected". Discuss what is meant by this statement using clear and vivid examples of estimate and...

Q:

Please help me to figure out this part. Thank you! PART ONE: The carrying amount of ABZ Inc. equity at January 1, 2018 was: Equity CU Share Capital compromising 120,000 shares of CU 10 par 1,200,000...

Q:

I'm an undergrad accounting student in an introduction to forensic accounting course.I need help getting started on a final project for this class over a fictitious company called the Grand Teton...

Q:

Write 2 paragraphs about Macro risks and the term structure of interest rates article. No max word count, page count, or formatting requirements but has to be submit to my tutor's work as my own....

Q:

Please help me make an Executive Summary. Explain what you will examine in the case study. Write an overview of the field you are researching. Make a thesis statement and sum up the results of your...

Q:

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

Q:

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

Q:

Allegheny Ludlum Steel! Question: What is your overall evaluation of Allegheny Ludlum Steel's productivity improvement program? Discuss the productivity improvement program at Allegheny Ludlum in...

Q:

Please read the question Question : What are "spaced practice", "varied practice", and "interleaved practice"? Give a definition for each. Then give an example of each from your own experience as a...

Q:

A backfill soil has the following characteristics: Angle of the backfill slope - O deg Height - 13-ft Density - 110 pcf Internal friction - 30-deg Length of the wall - 1 ft for analysis (continuous)...

Q:

An automotive radiator has glycerine at 95oC enter and return at 55oC as shown in Fig. P6.88. Air flows in at 20oC and leaves at 25oC. If the radiator should transfer 25 kW what is the mass flow rate...

Q:

(1) Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed. 1. (x)(x = a) 2. (x)Rx / Ra

Q:

Airport authority of MADRAS claims that the average time taken by their passengers to complete the boarding process is less than the average of all other Airports in the country 60 mins. A random...

Q:

a) Equipment construction contractor for a customer for an agreed price of Rs. 18,000. This has recently been completed at a cost of Rs. 16,800. It was been discovered that, in order to meet certain...

Q:

Entity Y has three equal owners: Alpha, Bravo, and Charlie. On July 1, 20X1 Entity Y redeems all of Charlie's ownership interest for cash of $75,000. During 20X1 Entity Y makes no other distributions...

Q:

Each department of CanAsian Airlines operates and manages its own petty cash fund to cover the cost of incidental office-related expenses. In your department, Guy has been delegated the...

Q:

The Chief Financial Officer at Sample General Hospital has just discovered that the hospitals Chief of the Medical Staffs son Jason, a student at the local community college, is paid $100 per week...

Q:

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

Q:

8.1 Health care A study dealing with health care issues plans to take a sample survey of 1500 Americans to estimate the proportion who have health insurance and the mean dollar amount that Americans...

Q:

7.65 Sample versus sampling Each student should bring 10 coins to class. For each coin, observe its age, the difference between the current year and the year on the coin. a. Using all the students...

Q:

8.3 Projecting winning candidate News coverage during a recent election projected that a certain candidate would receive 54.8% of all votes cast; the projection had a margin of error of {3%. a. Give...