Math 373 Lecture 5
10% of a crate of 100 apples are rotten. A sample of 3 apples is randomly selected. Find the probability distribution of the number x of rotten apples in the sample. x p(x) Binomial distributions DEFINITION. A binomial experiment consis
Math 373 Lecture 6
Exam 1 next week. Poisson Distributions In a binomial experiment, there are two outcomes success/failure, the trials occur a given number n of times, x is the number of successes. In a Poisson experiment the question is not whether an o
Math 373 Lecture 15 Exam 2 next week
Recall: For a significance level , the 1 confidence interval, or,
more precisely, the two-tailed 1 confidence interval, is the interval
about the estimator which contains the true value with prob. 1 .
If x1 and x2 are
Math 373
Hw 8 Worked examples and comments.
In the problems below, well use this two-decimal place table. In you homework, use the four-decimal place table inside the front cover. Find P(0 < z < .3) = . 12 .3 = .3 + .00, look up row .3 nd column .00. P(-.
Math 373 Lecture 10
One point extra credit for finding errors in handouts. Half
a point for grammatical errors.
Read the last third of Lecture 9.
Suppose there are 100 rats in cages numbered 1- 100.
The rats in the earlier cages are older than later cages
Math 373 Lecture 9
A bent coin is tossed 5 times. The probability of heads
in each toss is p = .2. Is the probability distribution for the
number x of heads in 5 tosses skewed to the left?
symmetric? skewed to the right?
012345
p = .2 skew right
012345
p
= Bring textbook to exams. Hypergeometric: P(x = k) = ( M )( NM ) /( N ). n k nk Binomial: P(x = k) = ( n )p k q nk . k ke Poisson: P(x = k) = k! . x 2 Normal: f(x) = 12 e z /2 , z = z-score = .
Continuous Distributions A roulette wheel is spun. There are
Math 373 Lecture 4
Conditional probability and probability rules The sample space S of an experiment is the set of its possible outcomes. Each outcome x has a probability P(x). We always have: 0 < P(x) < 1 and P(x) = 1. An event is a subset A of the sampl
Math 373 Lecture 3
Qualitative Bivariate Data
Suppose enrollment data for some UH department is:
gender \ race
Japanese(J)
Caucasian(W)
Chinese(C)
Male(M)
20
30
10
Female(F)
30
20
10
This is a bivariate qualitative data set. The experimental
units are the
Math 373 Lecture 2
Mean,variance,std. dev., Chebyshev, z-score,quartiles
The mean, median, and mode measure the center of a data set. The range, variance, and standard deviation measure how dispersed or spread out it is.
(xi
x)
measures how far xi is from
Math 373
Hw 4 Worked examples and comments.
Hw 147:4.40, 4.44, 4.46, 4.48, 4.50. 155: 4.66. 164: 4.78, 4.80. Rec 147: 4.41-4.51. 155: 4.65, 4.67. 164:4.77, 4.79.
Suppose a nickel and a dime are tossed.
There are 4 outcomes: cfw_HH, HT, TH, TT where HT
mea