Publications by Farhana Zahir
FZahir_Discussion11
Data: Age and Cholesterol Source: https://www.kaggle.com/ronitf/heart-disease-uci One factor Linear Regression The analysis looks at the relationship between Age and Cholesterol. The independent variable is Age and the Dependent variable is cholesterol. Load data data <- read.csv(file="https://raw.githubusercontent.com/zahirf/Data605/master/hea...
1359 sym R (2252 sym/9 pcs) 4 img
FZahir_Assignment10
Smith is in jail and has 1 dollar; he can get out on bail if he has 8 dollars.A guard agrees to make a series of bets with him. If Smith bets A dollars,he wins A dollars with probability .4 and loses A dollars with probability .6. Find the probability that he wins 8 dollars before losing all of his money if (a) He bets 1 dollar each time (timid ...
1093 sym R (79 sym/4 pcs)
FZahir_Discussion09
Continuous Independent Trials Prob 11 Page 363 The price of one share of stock in the Pilsdorff Beer Company is given by \(Y_{n}\) Finn notices that \(X_{n} = Y_{n+1} - Y_{n}\) appear to be independent random variables with \(\mu = 0\) and \(\sigma =\frac{1}{2}\) If \(Y_{1} = 100\), estimate the probability that: \(Y_{365}\geq100\) \(Y_{365}\geq...
1017 sym R (62 sym/4 pcs)
Data608 Project Proposal
Data The data I want to use for my final project can be found here https://data.world/riku-iki/nasdaq-financial-fundamentals The dataset contains essential financial fundamental indicators for 2389 companies included into NASDAQ index extracted from https://finintelligence.com service. Dataset contains 10 indicators from Income, Cash Flow and Ass...
1975 sym R (1665 sym/2 pcs)
FZahir_Assignment08
Problem 11 Page 303 A company buys 100 lightbulbs, each of which has an exponential lifetime of 1000 hours What is the expected time until the first lightbulb burns out? Solution \(P(M \le m)=1-e^\frac{-nm}{\mu}\) For this particular problem, n=100 and \(\mu\)=1000 \(E(M) = \int_{0}^{\infty}x \frac{n}{\mu}e^{-\frac{nx}{\mu}}dx = -\frac{e^{\frac{n...
2292 sym
FZahir_Assignment07
library(tidyverse) ## Warning: package 'ggplot2' was built under R version 3.6.3 ## Warning: package 'dplyr' was built under R version 3.6.3 library(ggplot2) Problem 1 Let X1, X2, . . . , Xn be n mutually independent random variables, each of which is uniformly distributed on the integers from 1 to k. Let Y denote the minimum of the Xi’s. Find...
3741 sym R (2404 sym/40 pcs) 2 img
FZahir_Discussion7week7
ContinuoUs random variables Problem 09 page 279 Let \(X\), \(Y\) and \(Z\) be independent random variables each with mean \(\mu\) and variance \(\sigma^{2}\) a) Find \(E(S)\) and \(V(S)\) where \(S=X+Y+Z\) b) Find \(E(A)\) and \(V(A)\) where \(A=\frac{1}{3}(X+Y+Z)\) c) Find \(E(S^{2})\) and \(E(A^{2})\) Solution: \(E(S)=E(X+Y+Z)=E(X)+E(Y)+E(Z)=3...
628 sym
FZahir_Assignment06
Problem 1 A box contains 54 red marbles, 9 white marbles, and 75 blue marbles. If a marble is randomly selected from the box, what is the probability that it is red or blue? Express your answer as a fraction or a decimal number rounded to four decimal places. Red: 54 White: 9 Blue: 75 Probability red or blue: round((54 + 75)/(54 + 9 + 75), 4) ## ...
6583 sym R (1047 sym/20 pcs) 1 img
FZahirDiscussion6
Discrete Conditional Probability Problem 18 page 152 A doctor assumes that a patient has one of three diseases: \(d_{1}\), \(d_{2}\), \(d_{3}\) Before any test, he assumes an equal probability of each disease He carries out a test that will be positive with probability 0.8 if the patient has \(d_{1}\), 0.6 if he has \(d_{2}\), and 0.4 if he has \...
1211 sym
FZahir_Assignment04
Problem Set 1 Verify using R that SVD and Eigenvalues are related A <- matrix(c(1,2,3, -1, 0, 4), nrow = 2, ncol = 3, byrow = TRUE) Compute the left-singular, singular values, and right-singular vectors of A using the svd command. The vector d contains the singular values The matrix u contains the left singular vectors (rows). The matrix v contai...
1081 sym R (3146 sym/33 pcs)