Find the mean and the variance of the discrete random variable X, whose probability distribution is given

Question:

Find the mean and the variance of the discrete random variable X, whose probability distribution is given in the following table.

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 probability mass function of a discrete random variable X is given in the following table: (a) Find P (X = 2). (b) Find P (X > 0). 2 -1 0.15 0.8 px) 0.1 0.4
The factorial moment-generating function of a discrete random variable X is given by Show that the rth derivative of FX(t) with respect to t at t = 1 is µ'(r), the rth factorial moment defined...
The mode of a discrete random variable X with pmf p(x) is that value x* for which p(x) is largest (the most probablex value). a. Let X~Bin(n, p). By considering the ratio b(x + 1; n,p)/b(x; n, p),...
The main ingredient of vinegar is acetic acid (HAc) that will dissociate into acetate (Ac - ) and hydrogen ion (H + ) in water: HAc < = > Ac - (aq) + H + (aq) . K HAc(room temp) = 1.8x10 -5 ....
Air, a mixture of mostly N2 and O2, can be approximated as having a molar mass of 28.8 g/mol. What is the density of air at 1.00 atm and 22C? (This is approximately sea level.)
Describe circumstances and give an example of when free cash flows to equity shareholders and free cash flows to all debt and equity stakeholders will be identical. Under those circumstances, will...
E 11-6 Computations under parent-company, entity, and traditional theories (mid-year acquisition) Penang Corporation acquires an 80 percent interest in Minang Corporation for $2,400,000 on April 1,...
Famous Cut Hair Stylists has begun the preparation of its adjusted trial balance as follows: Year-end data include the following: a. Supplies on hand, $300. b. Depreciation, $1,000. c. Accrued...
Kiss the Sky Enterprises has bonds on the market making annual payments, with 15 years to maturity, and selling for $870. At this price, the bonds yield 9.3 percent. What must the coupon rate be on...
Ray Heating & Cooling, Inc., was organized to provide heating and cooling service. It has just completed its second year of business. Its trial balance appears below. The following information is...
The discrete random variable V is such that V {1, 2, 3}. Given that P(V = 1) = P(V = 2) = 2 P(V = 3), draw up the probability distribution table for V.
Five grapes are randomly selected without replacement from a bag containing one red grape and six green grapes. Name and list the possible values of two discrete random variables in this situation....
What can a marketer do to advance regional economic integration?
Task 2 In addition to the report produced for Task 1, the SMT have asked that you produce a short presentation, (minimum of 2 slides per bullet point), to help ensure that employees handle, store and...
Real solutions for x 2 = 5 ( x + 3 6 0 ) ?
1) Two-stage compressor with irreversibilities = You need to build a two-stage compression system with intercooling to increase the pressure of Argon (monatomic gas, constant specific heat) from pi...
A tightrope is connected at each end to a vertical tree trunk at a height of 1.57 meter above the ground. The two trees are located a distance 5.00 meters apart. At the midpoint of the tightrope, a...
A missing order occurs when a maximum of the two-slit diffraction pattern lines up with the minimum of the single slit diffraction pattern. Adjust the parameters of the simulation to create a...
Assume Purity Ice Cream Company, Inc., in Ithaca, NY, bought a new ice cream production kit (pasteurizer/homogenizer, cooler, aging vat, freezer, and filling machine) at the beginning of the year at...
Explain the circumstances that could result in a long-term bank loan being shown in a statement of financial position as a current liability.
What are the appropriate H0 and Ha for each of the following research studies? In addition, note whether the hypothesis test is one- or two-tailed. a. A study in which researchers want to test...
Assume that each of the following conclusions represents an error in hypothesis testing. Indicate whether each of the statements is a Type I or II error. a. Based on the data, the null hypothesis is...
How do inferential statistics differ from descriptive statistics?
Lakeland Inc. manufactured 2,500 units during the month of March. They incurred direct materials cost of $58,000 and overhead costs of $40,000. If their per-unit prime cost was $32.00 per unit, how...
Present Value Computations Using the present value tables, solve the following. ( Click here to access the PV and FV tables to use with this problem. ) Round your answers to two decimal places....
A company provided the following data: Sales $887,000 Variable costs $546,800 Fixed costs $310,000 Expected production and sales in units 36,000 What is the break-even point in sales dollars? Please...

Find the mean and the variance of the discrete random variable X, whose probability distribution is given

Question:

1 2 3 P(X =x) 1-k 2- 3k 3-4k 4- 6k %3D

Step by Step Answer:

To find the mean and variance of a discrete random variable we use the foll...View the full answer

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

Students also viewed these Mathematics questions