1) Customers waiting at Ellerton Bank have been complaining about the amount of time they must wait in line. Managers at the bank, beginning to investigate the problem, have recorded sample waiting times for customers at the bank. Here are the waiting times (in minutes): 11, 21, 17, 9, 12, 23, 7, 5. A) What is the median of
Chebyshev's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is: a. 90% b. at least 90% c. 96% d.at least 96% e. 25%.
Suppose that a measurement has mean M and variance = 25. Let X bar be the average of n such independent measurements. Use Chebychev's inequality to estimate how large n should be such that P(|X bar - M | < 1) = 0.95.
Means & probability The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of
Q1 In the Willow Brook National Bank waiting line system (see Problem 1), assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour or 0.6 customer per minute. Use the exponential probability distribution to answer the following questions.
A sale representative must visit 4 cities: Omaha, Dallas, Wichita, and Oklahoma City. Use the multiplication rule of counting to determine the number of different choices the sales representative has for the order in which to visit the cities.
Pax World Balanced: x with line over it= 9.58%;s= 14.05% Vanguard Balanced Index : x with line over it = 9.02%;s = 12.50% These are the means and standard deviations of annualized percent returns. A) compute the coefficient of variation for each fund. If x (with line over it)represents return and s represents risk, then exp
Having trouble comprehending the attached questions. Need to complete these tasks for a study guide to final exam. 1 of 9 A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. Use 8 intervals starting with 25-29. 29 30 3
What is Dutch book argument for the first axiom of probability (the one that says that the probability of a sentence is never less than 0 or more than 1)? Anyone know that theory?
See attached notes to solve for problems in the attachment. Show work. 3-17 Although Ken Brown is the principal owner of Brown Oil, his brother Bob is credited with making the company a financial success. Bob is vice president of finance. Bob attributes his success to his pessimistic attitude about business and the oil in
4.30 A team of consultants working for a large national supermarket chain based in the New York metropolitan area developed a statistical model for predicting the annual sales of potential new store locations. x 1 2 3 4 5 6 7 8 9 10 Relative Frequency .01 .04 .04 .08 .10 .15 .25 .20 .08 .05 a) Find E(x) and interpret its valu
Discuss the three types of probability and the three assumptions underlying the probability theory.
BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean
1. According to Chebyshev's theorem, at least ________, of the lifetimes lie between 609.5 hrs and 1074.5 hrs. a. 56% b. 75% c. 84% d. 89% 2. According to Chebyshev's theorem, at least ________, of the lifetimes lie between 656 hrs and 1028 hrs. a. 56% b. 75% c. 84% d. 89% 3. Suppose that th
The Loebuck Company must decide how many cases of milk to stock each week to meet demand. The probability distribution of demand during a week is shown in the following table. Each case costs the grocer $10 and sells for $12. Unsold cases are sold to a local farmer ( who mixes the milk with feed from livestock) for $2 per case.
An Nth degree Chebyshev polynomial is defined by (C_N)(x) = cos(Ncos^-1 (x)) = cosh(Ncosh^-1 (x)) i) Show that C_N(x) is real for real values of x ii) Show that the two expressions are equal (hint: let w = cos^-1(x) + work with cos expression (middle term)) iii) Show that C_N (x) satisfies Co(x) = 1, c(x) = x and C_N (x) =
1.Management of an airline knows that 0.5% of the airline's passengers lose their luggage on domestic flights. Management also know that the average value claimed for a lost piece of luggage on domestic flights is $600.00. The company is considering increasing fares by an appropriate amount to cover expected compensation to pass
ABC insurance sells term life insurance policies. If the policy holder dies during the term of the policy ABC pays out $100,000. If the person does not die ABC pays nothing and there is no further value to the policy. ABC has determined through actuarial tables that an individual with certain issues has a 0.001 chance that they
Please show steps of these probability questions: 1. Let X ~ N (0, sigma^2). Calculate the density of Y=X^3 2. Let X ~ exp (1) and Y|X = x ~ uniform (0,x). Find p(X,Y). See attached file for better symbol representation.
1. a. For E[X] = 7, var(X) = 9, use Chebyshev's to get lower bound for P(4 <= X <= 10). b. Using the mean/variance from part (a) to get smallest & largest values of P(4 < X < 10). See the attached file.
I can not get the true answers, so I need the step by step solutions for these three questions. My problems and necessary information are in the attached file (one question at each page).
This question is open to interpretation - I think it's supposed to be a tricky question so I'm not entirely sure where it's going. We aren't actually given any data. Assuming data normally distributed: Q 1 Theoretically, does the nature of the observed data have an effect on the definition of what is called "mild" and
A. At what point does the possibility that an event is more than coincidence become obvious? Consider this in terms of probability theory and statistical significance. We can use the probability theory and statistical significance to know when the event is more than coincidental. For example, suppose the probability of dia
Please see the attached file. 1. Identify the type of sampling (random, stratified, systematic, cluster, convenience) used in each of the following AND state whether the sample results are likely to reflect the population from which the sample was drawn. (3 points each) a. ______________________ Each hundredth hamburger m
Lex X be a random variable such that P(X<=0)=0 and let mu=E(X) exist. Show that P(X>=2*mu) <= 1/2.
Question: Let X be a random variable with a mean mu and let E[(X-mu)^2k] exist. Show, with d>0, that P(|X-mu| >=d) <=E[(X-mu)^(2k)]/d^(2k). This is essentially Chebyshev's inequality when k=1.
See attached word file. Taken from 'Digital Signal Processing Using MatLab' by Ingle/Proakis 1. Design a digital LPF to be used in the configuration To satisfy the following requirements: Sampling rate = 8 kilosamples/sec Passband edge of 1.5kHz with ripple of 3dB Stopband edge of 2kHz with attenuation of 40dB Equiripp
Calculate the five Chebyshev nodes in the interval [-1,1] which are used when interpolating with a degree four polynomial. Evaluate the function f(x)=2arcsin(x) at each of these points. Construct the degree four Chebyshev polynomial. Evaluate the resulting polynomial at x=0.8 and compare with the actual value of the function.
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of to . In a recent year, the national mean score for the writing section was , with a standard deviation of . Based on this information, complete the following statements about the distribution of the scores on the writi
Please show me how to do these problems correctly. A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 49.6, with a standard deviation of 10.9. Based on this information, complete the followi