UrbanPro

Take BCom Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

X, is assumed to be a random variable by placing letters of the word “YACHT” in a hat. If these letters are withdrawn then it gets replaced. A value of 1 is given when a vowel is retrieved, and a value of 2 is given when a consonant is retrieved while a value of 3 is given to all other retrieved letters. Construct a probability distribution of X Is this correct: Letter, X Y A C H T Probability, PX 4/5 1/5 4/5 4/5 4/5

Asked by Last Modified  

10 Answers

Learn Business Mathematics and Statistics +1 BSc Tuition

Follow 13
Answer

Please enter your answer

Tutor

4/5
Comments

Tutor

1 is obtained when X attains the value of A, which occurs 1 in 5 times. Similarly, 2 is obtained when X attains any of Y,T,C or H, which occurs 4 in 5 times. Note that 3 is never obtained as it X can be either vowel or a consonant(only these two possibilities) ,So 3 never occurs(or we can say it occurs...
read more
1 is obtained when X attains the value of A, which occurs 1 in 5 times. Similarly, 2 is obtained when X attains any of Y,T,C or H, which occurs 4 in 5 times. Note that 3 is never obtained as it X can be either vowel or a consonant(only these two possibilities) ,So 3 never occurs(or we can say it occurs 0 times in 5). Therefore, the probability distribution for X is as follows: P(1) = P( X = A) = 1/5 P(2) = P(X = Y, C, H, T) = 4/5 P(3) = P(X != YACHT) = 0 read less
Comments

Tutor

There are 3 values- {1, 2, 3} Since vowels (value 1), consonants (value 2), and others i.e. y (value 3). So I can only assume that Y is considered "other", and not a vowel or consonant. So we get: Letter - X Y - 3 A - 1 C - 2 H - 2 T - 2 Hence, P(X=1) = 1/5 P(X=2) = 3/5 P(X=3) =...
Comments

Since Y-2, A-1, C-2, H-2, T-2 so we can write Sample space={ 1 and 2}. This is write and the above one you mentioned is also write. Because this contains only a vowel and others are consonants and this does not contain any sample space that is 3.
Comments

Well Distribution should be be in terms of random numbers which are S = {1,2,3} P(1) = P( X = A) = 1/5 P(2) = P(X = Y, C, H, T) = 4/5 P(3) = P(X != YACHT) = 0
Comments

M.Sc.B.Ed. Csir-net, set, ctet( mathematics)

Random variable X can take the values 1,2. P(getting vowel) = P(X=1) = 1/5 P(getting consonant) = P(X=2)= 4/5 X 1 2 P(X) 1/5 2/5
Comments

Tutor

Since vowel values 1 ,consonant values 2 and others value 3 so I assume that 'y' as other and therefore we can write this like XY-3A-1C-2H-2T-2..henceforth P(1)=P=A=1/5;P(2)=P (X=Y,C,H,T)=4/5;P (3)=(X!=YACHT)=0
Comments

Mathematics Teacher

NOT CURRECT. THERE ARE TWO PROPERTIES OF PROBABILITY DISTRIBUTION FUNCTION. f(x) greater or equal to zero . ,sum of f(xi) equal to 1.
Comments

Tutor

Since Y-2, A-1, C-2, H-2, T-2 Sample space = {1 and 2}. Yes
Comments

M.Sc.B.Ed. Csir-net, set, ctet( mathematics)

Here....
Comments

View 8 more Answers

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Probability: Random Variable, Discrete Probability Distribution And Expectation
An experiment whose outcome cannot be predicted is called random experiment. The set of all outcomes of a random experiment is called a sample space and is denoted by S. A sample Space is discrete if it...

Simulation of Traffic
Ever wondered how statistics deal with traffic that you encounter every day while travelling?Well, we model arrival of vehicles as Poisson distribution. For example, 10 vehicles arrive in the 1st hour,...

GST By CA Prashanth Reddy
GST on services fixed; Ola, Uber rides and flights to be cheaper, education and health exempt. The GST Council on Friday finalised tax rates for services under the Goods and Service Tax (GST) regime,...
F

Index Numbers
INDEX NUMBERS Definition: Index Numbers are statistical devices designed to measure the relative changes in the level of a specific phenomenon with respect to time, geographical location or other characteristics...

Recommended Articles

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...

Read full article >

Looking for BCom Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for BCom Tuition Classes?

The best tutors for BCom Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take BCom Tuition with the Best Tutors

The best Tutors for BCom Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more