Question: Check whether the function given by the formula: Meets the two criteria for serving as the probability distribution of a discrete random variable It satisfies

Check whether the function given by the formula:

f(x) x + 2 25 for x = 1, 2, 3, 4,

Meets the two criteria for serving as the probability distribution of a discrete random variable

It satisfies the following conditions:

a. 5 0 P(x) 1 (x)=1

b.

f(x) x + 2 25 for x = 1, 2, 3, 4, 5 0 P(x) 1 (x)=1

Step by Step Solution

★★★★★

3.42 Rating (146 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To determine if the function fx fracx225 for x 1 2 3 4 5 is a valid probability d... View full answer

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:

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

Q:

The joint probability mass function of a discrete random variable (X, Y) is given by Find (a) f (y | x), and (b) f (y | x). 6xy f(x,y)={ n(n+ 1)(2n+1)] 0, x,y=1,2,.,n otherwise.

Q:

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),...

Q:

Student: allan cranford Date: 9/7/16 Instructor: Basu Dipanker Course: MAT-240-Q6622-16EW6 Assignment: 1-3 MyStatLab: Module One Problem Set 1. The following data represent the percent of owners of...

Q:

Statistics Laboratory #6 The Normal Distribution Introduction. In this lab, we will learn to do computations using Excel's normal distribution functions. These involve finding a proportion of the...

Q:

summative test grade 11 1ST SUMMATIVE ASSESSMENT IN STATISTICS & PROBABILITY NAME: TEACHER: YEAR & SECTION: DATE: a. P[1) = 0.08, P(2) = 0.12, P(3) = 1.03 b. P(1) = 10/33. P(2) = 1/3. P(3) = 12/33...

Q:

Consider the following two 4-year investments, with same initial investment given in the spread- sheet: Investment A: In each year, the annual effective rate of return (or rate, for short) is a...

Q:

complete all using simple calculations 1 Consider the following two random samples of ten observations which come from the distributions of random variables which assume non-negative integer values...

Q:

I am really struggling with these questions and need help solving them. Where Do Advertising Dollars Go? Other 1 696 Pl'll'lt 32% Direct Mail 20% Fledio 8% Click here for the Excel Data File (a) What...

Q:

what is the answer of question 2 b Complete Table 1, assuming initially that the project has average risk. Then develop a new table which shows a sensitivity analysis of NPV to sales quantity,...

Q:

Continue working on Problem 2-3 on page 48. If the discount rate is 18%, what is the NPV of this project? What is the IRR? Conduct a break-even sensitivity analysis and identify the top 3 value...

Q:

Question: Consider the following figure. Draw the BFS tree considering 2 as the source node and mark each level. If you have multiple options while traversing, pick the node with smallest index. Part...

Q:

To be superior to similar products available in the market, products and services must possess a high level of quality. In different forms, most products come with assurances of quality, but are they...

Q:

Change is inevitable when it comes to health and healthcare. Patients are going to have changing diagnoses and have a change in health at any time. In this case study, we saw a few things change...

Q:

In the Final dept of OMEGA Co. materials are introduced when processing is half-done. In May 19x6, charges to this department were: May 1 inventory, 15000 units (40% done) Received from prior...

Q:

Blade Angle of Attack. The BK 117 helicopter has the following characteristics: m = 3200 kg f = 1.55 m2 (estimated) _T = 8 = 0.074 = 6.61 (at sea level) R = 5.5 m V_tip = 221 m/s a = 5.79 per radian...

Q:

5 pts Question 19 Last year Hamilton Corp. had sales of $375,000 and a net income of $35,000, and its year-end assets were $425,000. The firm had $191,250 in total liabilities. Based on the DuPont...

Q:

Provide a few individual examples who revealed what aspects of emotional intelligence?

Q:

1. As with most bonds, consider a bond with a face value of $1,000. The bond's maturity is 12 years, the coupon rate is 9% paid annually, and the market yield (discount rate) is 19%. What is the...

Q:

Let X ~ N (12, 5). Find the value of x0 such that (a) P (X > x0) = 0.05 (b) P (X x0) = 0.90.

Q:

Let X1, . . ., Xn be a random sample recorded as heads or tails resulting from tossing a coin n times with unknown probability p of heads. Find the MLE p of p. Also using the invariance property,...

Q:

Let (for error) be a random variable with E () = 0, and Var () = 2. Define the random variable, X = + , where is a constant. Find E (X), Var (X), and E (2).

Q:

Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and three levels of Factor B. The number of replications per cell is 5. Complete the table...

Q:

There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday, Tuesday, Wednesday, Thursday, and Friday at each hospital last...

Q:

A consumer organization wants to know whether there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount...