Last February 200 students registered for the Undergrad course on the fundamentals of Probability Theory in the ECE department of the Venus University. In order to accommodate such a huge number of students, the departmental academic office decided to make 4 sections (A, B, C and D) with 50 students in cach section. Based on the official result announcenent from the Exam department, a total of 15 students secured a 4 GPA in the course. A Section-wise detail of those top GPA achievers in the Probability Theory course are given below. BCD 456 Section Number of students with 4GPA A student has been randomly selected (oquiprobable) from the batch of 200 students, now you have to determine the probabilities of the following events: a) The selected student was from Section-D. b) The selected student secured a 4 GPA in the course. c) The selected student secured a 4 GPA in the course and he'she was registered in Section- B. d) The student was registered in Section-A given that he/she secured a 4 GPA in the course

Last February 200 students registered for the Undergrad course on the fundamentals of Probability Theory in the ECE department of the Venus University. In order to accommodate such a huge number of students, the departmental academic office decided to make 4 sections (A, B, C and D) with 50 students in cach section. Based on the official result announcenent from the Exam department, a total of 15 students secured a 4 GPA in the course. A Section-wise detail of those top GPA achievers in the Probability Theory course are given below. BCD 456 Section Number of students with 4GPA A student has been randomly selected (oquiprobable) from the batch of 200 students, now you have to determine the probabilities of the following events: a) The selected student was from Section-D. b) The selected student secured a 4 GPA in the course. c) The selected student secured a 4 GPA in the course and he'she was registered in Section- B. d) The student was registered in Section-A given that he/she secured a 4 GPA in the course

Name: Probability ロ☆Last February 200 students registered for the Undergrad
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Probability ロ☆Last February 200 students registered for the Undergrad course on the fundamentals ofProbability Theory in the ECE department of the Venus University. In order to accommodatesuch a huge number of students, the departmental academic offi

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

See similar textbooks

Related questions

Q: A car hire firm has two cars, which it hires out day by day. The number of demands for a car on each…

Q: Probability

Q: The distribution law of random variable X is given: 225 (2X-5)²2 Find the distribution law of random…

Q: 4. What is the probability that it is female or an accountant? 5. What is the probability that it is…

A: 4) The probability that it is female or an accountant is:P(female or accountant)=n(female or…

Q: The continuous random variable X has a cumulative distribution function F(x) given by: x 2. Find…

A: The CDF of X is given by, Fx = 0x<1kx4+x2-21≤x≤21x>2 Now, X is continuous random variable. So,…

Q: Suppose that a day's production of 850 manufactured parts contains 100 parts that do not conform to…

A: Frequency is the count of variable which occurred or repeated number of times. It can be divide into…

Q: Consider the table below, giving the birth and death rates by age group for a population of small…

A: a) Average Life Expectancy = 1 / Total Death RateIn this case, the death rate varies by age group,…

Q: In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is…

A: Givenn=3p=0.6x~Binomial(n=3,p=0.6)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1...,n

Q: .9 Guaranteed life of a machine The lifetime in hours of a certain component of a machine has the…

A: Given that the lifetime in hours of certain component of a machine has the continuous probability…

Q: The personnel department of a particular company has observed that 20% of the people the company…

Q: eiw Фx (») %3D 1+ 4w? 11) Prove that the mean of X= 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Three groups of children contain respectively 3 girls and 1 boy, 2 girls and 2 boys, 1 girl and 3…

Q: The continuous random variable T represents the time in hours that students spend on homework. The…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: If x be a normal variate with mean 3 and variance 16, find the value of t such that P(3 <Xs t) =…

Q: The probability that a person living in a certain city owns a dog is estimated to be 0.35. Find the…

A: Given info: The probability that a person living in a certain city owns a dog is estimated to be…

Q: Consider the following problem: Consider an experiment of throwing a fair die. Let X be a random…

A: Consider an experiment throwing a die ( 13) Values of the Random variables x ( 14 ) PMF of x

Q: Two dice are rolled, and the events F and T are as follows: F = {The sum of the dice is four} and T…

Q: Soalan/ Question 2: Given a normally distributed population with a mean of 75 and a variance of 625,…

A: Given that mean =75 , variance = 625

Q: A survey conducted over last 25 years indicated that in 10 years the winter was mild, in 8 years it…

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: If a random variable X is defined such that: E[(X – 2)²] = 18 and E[(X+1)²] = 33. Then the values of…

A: The given equations are EX-22=18 and EX+12=33. Now,…

Q: The random variable X has the probability density function f(x) given by: 3 x?, |x| a) = 37 then a…

Q: 10 A nature reserve has one bird of an uncommon species which frequents the large expanse of reed…

Q: Let X-bin(6,0.57), then P(x=2) is equal to: a. 0.333 b. 0.325 c. 0.293 d. 0.167 e. 0.111

A: GivenX~Binomial(6,0.57)n=6p=0.57X~Binomial(n=6,p=0.57)P(X=x)=(nx)×Px×(1-P)n-x ; x=0,1....,n

Q: Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the…

A: XY = 6YZ = 12

Q: 9. Let the distribution of X for x > 0 be 3 xk e-* F(x) = 1 – ) k! k=0 What is the density function…

A: The distribution of X for x>0 is given below: Fx=1-∑k=03xke-xk!

Q: E ze 3. A random variable X has the following probability function. 2 4 6. 7 Values of X p(x) 0. 2K…

Q: 4. Suppose that one word is to be selected at random from the sentence THE GIRL PUT ON HER BEAUTIFUL…

Q: In a multiple choice test there are 10 questions each has five choices, of which one is the true…

A: Consider a random variable X which represents the number of correct question in a sample of 10…

Q: The continuous random variable T represents the time in hours that students spend on homework. The…

Q: A random variable, X, has a normal distribution with mean equal to 1000 and standard deviation equal…

A: Given that X follows a normal distribution with mean=1000 and standard deviation=100. Let the…

Q: 1. A random variable X has a density function f(x) = cx² CX 2<x<3 otherwise 1. P(1/2 <X <3/2)

A: We have to find the value of constant for valid pdf and also have to find the probability.

Q: If the expectation of a Poisson variable is 1, then find P(X> 1).

Q: Question * In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer…

Q: A printer manufacturer obtained the following probabilities from a database of test results. Printer…

A: Given: Let H denote hardware problem, S denote software problem , O denote other problem and F…

Q: What are Diego's expected winnings from playing The Slow BalI Challenge? Show ll work and round your…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Probability

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Selection from D

VIEW

Probability of 4 GPA

VIEW

4 GPA and section B

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
A car wash offers the following optional services to the basic wash: clear coat wax, triple foam polish, undercarriage wash, rust inhibitor, wheel brightener, air freshener, and interior shampoo. How many washes are possible if any number of options can be added to the basic wash?
A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3 packages include both voice and data. How many ways are there to choose either voice or data, but not both?
Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?
Just-For-Kicks Sneaker Company offers an online customizing service. How many ways are there to design a custom pair of Just-For-Kicks sneakers if a customer can choose from a basic shoe up to 11 customizable options?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?