Chapter 5 MIS 301

अब Quizwiz के साथ अपने होमवर्क और परीक्षाओं को एस करें!

x is a random variable with the prob. function f(x) = x/6 for x = 1,2 or 3. the expected value of x is

2.333

1 hour, how many cars arrived

DRV

20 question test- answered correctly

DRV

audit 50 tax returns- how many have errors

DRV

the weight of an object measured in grams is an example of

a continuous random variable

the binomial prob. distribution is used with

a discrete random variable

variance is

a measure of the dispersion of a a random variable

random variable

a random variable is a numerical description of the outcome of an experiment

continuous random variable

a random variable that may assume any numerical value in an interval or collection of intervals

discrete random variable

a random variable that may be finite # of values or an infinite sequence of values such as any #

a continuous random variable may assume

any value in an interval or collection of intervals

an experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is speed, measured in miles per hour. this is a

continuous random variable

Discrete prob. Distribution

defines the prob. distribution for a discrete random variable. has to be bigger than 0. and the sum of prob. has to =1 1/n = f(x)

exhibit 5-11, the prob. that there are less than 3 occurrences

idk how but it i .1016

Exhibit 5-11 The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Refer to Exhibit 5-11. The expected value of the random variable x is

just the mean, 5.3

expected value for binomial dis.

np

variance for binomial dis.

np (1-p)

Exhibit 5-11 The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Refer to Exhibit 5-11. The random variable x satisfies which of the following probability distributions?

poission

poisson

the prob. of an occurrance is the same for any two intervals, common intervals are measured in time distance area and volume. The occurrance or nonoccurrance in any interval is independent of the occurrence or nonoccurrence in any other interval

what is not a char. of an experiment where the binomial prob. distribution is applicable

the trials are dependent

which is a characteristic of binomial experiment

trials are independent

hypergeometric prob. distribution

used to compute the prob. that in a random selection of n elements selected without replacement we obtain x elements labeled success and n-x elements labeled failure trials are not independent the prob. of success changes from trial to trial r= number of elements

4% of the customers of a mortgage company default on their payments. a sample of 5 is selected, whats the prob. of 2 defaulting

.0142

in a binomial experiment the prob. of success is .06. What is the prob. of two successes in seven trials

.0555

exhibit 5-2. The prob. distribution for the daily sales are given, what are the expected daily sales

56,000

the variance for the binomial prob. distribution is

Var(x)=np(1-p)

exhibit 5-11 the prob. that there are 8 occurrences in 10 minutes is

.0771

assume that you have binomial experiment with p=.5 and sample size of 100 the expected value of distribution is

50

5-4, the prob. of sales at least of 50000

90%

observe an employees work- # of unproductive hours in an 8 hour work day

CRV

weight of shipment- # of pounds

CRV

the poisson prob. distribution is a

discrete prob. distribution

a random variable that can assume only a finite # of values is

discrete random variable

an experiment consists of making 80 calls in order to sell a particular insurance policy. The random variable in this experiment is the # of sales made. This random variable is a

discrete random variable

the # of customers that enter a store during one day is an example of

discrete random variable

expected value of a binomial prog. distribution is

e(x)=np

a measure of the average value of a random variable is called

expected value

a weighted average of the value of a random variable where the prob. function provides weights is known as

expected value

in the textile industry a manufacturer is interested in the # of blemishes occurring in each 100 feet. the prob. distribution that has the greatest chance of applying to this situation is

poisson distribution

the key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution the

prob. of success changes from trial to trial

in a binomial experiment the

prob. of success does not change from trial to trial

binomial prob distribution

sequence of n identical trials, two outcomes, chance of success does not change, trials are independent

variance for DRV

sum ( x- u)^2 (f(X)

expected value of a discrete random variable

sum(x x (fx))


संबंधित स्टडी सेट्स

Real Estate 101- Promulgated Contract Forms

View Set

federal government mind tap wrap it up unit 1

View Set

chapter 9: nail structure and growth

View Set

240 Chapter 39: Oxygenation and Perfusion

View Set