HW2
1) The probability that a train leaves on time is 0.85. The probability
that it leaves on time and arrives on time is 0.60. If it leaves on
time, what is the probability that it will arrive on tim
STAT-UB.0103
Homework Set 5
COMPLETE ALL QUESTIONS FOR THIS HOMEWORK.
1. Based on a sample of 50 x-values having mean 35.36 and standard deviation 4.26,
(a)
test at the 0.05 level of significance the
Professor Greg Kubitz
Competitive Analysis
Spring 2017
Problem Set 2
1. SoS. SoS (Sounds of Silence, Inc) prepares to launch a revolutionary system of
bluetooth-enabled noise-cancellation headphones.
Chawdhry | 1
Name: Akshay Chawdhry
Professor: Avi Giloni
Class: Statistics (M, T, Th 8am)
Subject: Homework 10
Date Due: 5/11/15
Chawdhry | 2
1A) Without looking at the data, I would expect Score to b
HW2 Solutions
#1
Frequency
30
20
10
0
96
97
98
99
100
101
Temp
A. Reasonably bell shaped distribution, with a few outliers though
B. Population mean = 98.6F
C. Yes, axis of symmetry close to the known
Problem 1: Suppose that three slips of paper have the names a, b, c. Suppose that these
are given at random to people with names A, B, C. What is the probability that exactly
one person gets the paper
Homework #1 - Solutions
Ex #1
Treatment: drinking herbal tea
Response variable: health of nursing home residents
Other variable: presence of students could have contributed to the increased health and
STAT-UB.0103 and 0001
Homework Set 2b
1. If one card is selected at random from a standard deck of 52, find the probability that
a.
the selected card is a diamond () ;
b.
the selected card is a seven;
Probability Problems Homework 2a
Consider rolling two fair dice. Let A be the event that the first die is greater than 4. Let B
be the event that the sum of the two dice is 6. Let C be the event that
Continuous Random Variables
1
Continuous Probability Distributions
We are going to study two additional continuous
probability distributions:
1. Uniform Distribution
2. Exponential Distribution
2
Uni
The Normal Approximation to the
Binomial Distribution
1
Motivation
Computing Binomial probabilities can be tedious,
especially when the number of trials is large.
The Binomial tables provide one pos
Continuous Random Variables
1
Continuous Random Variables
Continuous random variables
Can assume any value in an interval of real numbers
Continuous random variables are uncountable
Always in betw
Richard Jiang
HW 10
1) The file Gesell.MTP concerns a study of whether intelligence can be predicted based on the
age at which a child starts to speak. For each of 2l participants in the study, the va
Normal Random Variables Solutions
STAT-UB.0103 Statistics for Business Control and Regression Models
Standard normal random variables
1. Suppose Z is a standard normal random variable. What is P (Z 1.
Biased Samples
STAT-UB.0103 Statistics for Business Control and Regression Models
Populations and Bias
Each of the following scenarios involves collecting data to learn about a population. State (a) w
Biased Samples Solutions
STAT-UB.0103 Statistics for Business Control and Regression Models
Populations and Bias
Each of the following scenarios involves collecting data to learn about a population. S
Sampling Distributions Solutions
STAT-UB.0103 Statistics for Business Control and Regression Models
Normal Random Variables (Review)
1. Suppose that X is a normal random variable with mean = 26 and st
Probability
1
Probability
Probability forms the basis for statistical inference.
Probability vs Statistics:
Probability: a fair coin is tossed 100 times; what is
the probability of getting 80 heads
Descriptive Statistics 2 Solutions
STAT-UB.0103 Statistics for Business Control and Regression Models
Standard Deviation and The Empirical Rule
1. Fifty-seven respondents to the class survey reported
Poisson & Hypergeometric
Distributions
1
Discrete Probability Distributions
We are going to study two additional discrete
probability distributions:
1. Poisson Distribution
2. Hypergeometric Distribu
The Binomial Distribution
1
The Bernoulli Distribution
Classical example: a single toss of a coin
Bernoulli distribution, named after Swiss scientist
Jacob Bernoulli, is the simplest distribution.
Discrete Random Variables
1
Random Variables
Random Variable:
Something that takes on numerical values depending
on chance
Usually denoted by capital letters
Most common choices: X, Y, Z
Examples
The Normal Distribution
1
The Normal Distribution
The normal distribution is the most important
distribution in statistical theory
Why is it so important?
Its mathematically convenient.
Sample mea
Raw Data
Grouping Data by Class
Find Range
Number of classes = 2k > n where k is classes and n is number of values
Class Width = range / k, round
Determine class boundaries and assign classes
Med
Assignment 2
INCOME AND MAGAZINE SUBSCRIPTION DATA
A sample of 50 households in an upper middle class community was taken and the
following measurements were obtained:
Variable 1 =
X i annual income i