Find out the marginal density of x. find out the marginal, Ask an Expert

Statistics

If the joint probability distribution of X and Y is given by:

A privately owned liquor store operates both drive-in facility and walk-in facility. On randomly selected day, let X and Y, respectively, be the proportions of time that the drive-in and walk-in facilities are in employ, and assume that the joint density function of these random variables is

f(x, y) = (2/3)(x + 2y), 0 ≤ x ≤ 1, 0 ≤ y ≤ 1,

0, elsewhere.

a) Find out the marginal density of X.

b) Find out the marginal density of Y.

c) Find out the probability that the drive-in facility is busy less than one-half of the time.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M920366

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

A recent study found that 64 of workers between the ages of

A recent study found that 64?% of workers between the ages of? 20-29 cash out their retirement accounts when they lose their jobs or move to a new employer. Complete parts a through e below based on a random sample of 14 ...

In a sample of 150 hospital emergency admissions with a

In a sample of 150 hospital emergency admissions with a certain diagnosis, 128 listed vomiting as a presenting symptom. Do these data provide sufficient evidence to indicate, at the .01 level of significance, that the po ...

How can i describe the relationship between diversifiable

How can I describe the relationship between diversifiable risk and total risk, along with the role of Beta?

Lets pretend that in a hospital 7 of patients are high-risk

Let's pretend that in a hospital, 7% of patients are "high-risk" while the others are "lower-risk". For patients that are high-risk, 75% will be re-admitted within 30 days. For "lower-risk" patients, the 30day re-admitta ...

A researcher records the following body mass index bmi

A researcher records the following body mass index (BMI) scores for a group of participants: 29.1 1.3 (M SD). Participants who score between 26 and 30 on this scale are categorized as overweight. What proportion of parti ...

An important part of the customer service responsibilities

An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a ...

What is the annual yield to maturity ytm of a 10-year bond

What is the annual yield to maturity (YTM) of a 10-year bond, $1000 par, 8% coupon paid semi-annually, currently selling for $975?

What is the instrumental model of corporate management what

What is the instrumental model of corporate management? What is the social contract model of corporate management?

Suppose a retailer claims that the average wait time for a

Suppose a retailer claims that the average wait time for a customer on its support line is 179 seconds. A random sample of 57 customers had an average wait time of 169 seconds. Assume the population standard deviation fo ...

The table to the right shows the results of a survey in

The table to the right shows the results of a survey in which 2585 adults from Country A, 1116 adults from Country B, and 1064 adults from Country C were asked if human activity contributes to global warming. Complete pa ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert