In a particular discrete probability distribution the random variable X takes the value 120/r with probability r/45,

Question:

In a particular discrete probability distribution the random variable X takes the value 120/r with probability r/45, where r takes all integer values from 1 to 9 inclusive.

i. Show that P(X = 40) = 1/15.

ii. Construct the probability distribution table for X.

iii. Which is the modal value of X?

iv. Find the probability that X lies between 18 and 100.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 13, 2021 03:07 AM

See More Questions

The random variable X takes the values 0, 1, 2 according to one of the following distributions: In each case determine whether the family of distributions of X is complete. P(X = 0) P(X = 1) P(X = 2)...
In the following probability distribution, the random variable X represents the number of activities a parent of a 6th- to 8th-grade student is involved in. x .... P(x) 0 .... 0.073 1 .... 0.117 2...
Find the cumulative distribution function of the random variable X representing the number of defectives in Exercise 3.11. Then using F(x), find (a) P(X = 1); (b) P(0 < X < 2).
In Problem 12.4 on page 423, you used the percentage of alcohol to predict wine quality. The data are stored in VinhoVerde. From the results of that problem, b 1 = 0.5624 and Sb 1 = 0.1127. a. At the...
What is the work when a gas contracts from 3.45 L to 0.97 L under an external pressure of 0.985 atm?
You expect the price of a stock to decline but do not want to sell the stock short and run the risk that the price of the stock may rise dramatically. How could you use a bear spread strategy to take...
Next, apply a neural network model to predict churn. Construct a table containing the same measures as in Exercise 27.
Following is a list of information for Peter and Amy Jones for the current tax year. Peter and Amy are married and have three children, Aubrynne, Bryson, and Caden. They live at 100 Main Street,...
Show Me How Video Print Item Accounts receivable Inventory Prepaid rent Totals Accounts payable Income taxes payable Interest payable Totals December 31 2017 2016 $43,180 $35,320 30,150 39,720 17,260...
The activities described by the following table are given for the Howard Corporation in Kansas: a) Draw the appropriate AON PERT diagram for J. C. Howards management team. b) Find the critical path....
In a game, a fair 4-sided spinner with edges labelled 0, 1, 2 and 3 is spun. If a player spins 1, 2 or 3, then that is their score. If a player scores 0, then they spin a fair triangular spinner with...
A fair 4-sided spinner with sides labelled A, B, B, B is spun four times. a. Show that there are six equally likely ways to obtain exactly two Bs with the four spins. b. By drawing up the probability...
A sales manager for a large construction equipment company has offices in four Saudi Arabia cities. As part of the monthly assignment, the manager wants a salesman from each office to fly and meet...
A production Edgeworth Box, with origins indicated for the inputs of capital, K , and labor, L , into production of goods X and Y .Eight isoquants are shown, reflecting standard...
For 2014, Nichols, Inc., had sales of 150,000 units and production of 200,000 units. Other information for the year included: Direct manufacturing labor 187,500 Variable manufacturing overhead...
reading the following statement and decide whether you agree or disagree with the statement: "The free market system is the best economic system since it is the most efficient and solves basic...
find the net presbf value of the project ? present value index? Net present value A project has estimated annual net cash flows of $11,250 for 10 years and is estimated to cost $42,500. Assume a...
Calculate the ICER for the new treatment, without adjusting for the health utility index. Assuming the $50K benchmark*, as a clinical decision maker or health policy advisor, would you recommend...
Matsumoto Training Academies is a sole proprietorship. To start the business, the owner, Mr. Tanaka, contributed $500,000 cash. During the year the owner withdrew $30,000 cash. Net income for the...
In Problems 1522, find the principal needed now to get each amount; that is, find the present value. To get $750 after 2 years at 2.5% compounded quarterly.
Find the first 5 terms, in ascending powers of x, in the expansion of 2 + 3x V15x2
Express the following proper fractions as partial fractions. a. b. c. d. e. f. 2x (x + 2)
Given that find the values of A, B,C, D and E. x4 + 5x - 1 x + 1 Ax + Bx + Cx + D + E x+1'
Callaho Inc. began operations on January 1 , 2 0 1 8 . Its adjusted trial balance at December 3 1 , 2 0 1 9 and 2 0 2 0 is shown below. Other information regarding Callaho Inc. and its activities...
Required: 1. Complete the following: a. Colnpute the unit product cost under absorption costing. b. What is the company's absorption costing net operating income (loss) for the quarter? c. Reconcile...
Bond Valuation with Semiannual Payments Renfro Rentals has issued bonds that have an 8% coupon rate, payable semiannually. The bonds mature in 6 years, have a face value of $1,000, and a yield to...

In a particular discrete probability distribution the random variable X takes the value 120/r with probability r/45,

Question:

Step by Step Answer:

i PX 40 115 ii XProbability 1145 ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions