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A bagel shop wants to estimate their daily demand for their popular poppy seed bagel. The shop owner determined that the daily demand follows the normal probability model with mean 300 bagels and st
How many samples of 5 contain exactly one nonconforming chip? How many samples of 5 contain at least one nonconforming chip?
Five percent of computer parts produced by a certain supplier are defective. What is the probability that a sample of 16 parts contains more than 3 defective ones?
In a pizzeria they offer eight different toppings for a pizza. Moreover you are allowed to double any topping if you wish. For example, it is possible to get a pizza with: single type 1 topping, do
How many 3-digit numbers have distinct non-zero digits? Generalize your answer for a k-digit number, where k =< 9.
An interactive system consists of ten terminals that are connected to the central com- puter. At any time, each terminal is ready to transmit a message with probability 0.7, independently of other t
You play a dice game with two dice. If you roll at most 5 (i.e. the sum of the two numbers is 2, 3, 4 or 5) then you win, if you roll 7 or 10 then you lose, otherwise you have to roll again. What i
A 95% confidence interval for a population mean, u, is given as (18.958, 21.015). This confidence interval is based on a simple random sample of 36 observations. Calculate the sample mean, standard
Compute expectations and variances of the total dollar profit generated by portfolios (a), (b), and (c). What is the least risky portfolio? What is the most risky portfolio?
Raid 1 scheme splits the data over two hard drives. What is the probability of data loss? Assume that the data loss occurs if at least one drive fails within the same day.
Furthermore, an analysis of heart attack victims reveals that 12% of low-income people, 9% of medium-income people, and 7% of high-income people die of heart attacks. Find the probability that a sur
The magement of a manufacturing plant is studying the number of times employees in a large population of workers are absent. A random sample of 25 employees is chosen, and the average number of annu
You are interviewing a candidate who has failed the test, 0but you decide to hire the candidate anyway. What is the probability that this person will be with the company 1 year from now?
A batch of 50 different automatic typewriters contains exactly 10 defective machines. What is the probability of finding:
Test the slope of the regression line for the following data. Use alpha equals .01.
Test the slope of the regression line, y=15.46-0.725x of the following data. Use a 5% level of significance and se = 2.583.
Test the slope of the regression line for the following data. Use alpha equals .01
A ball is dropped, and lands randomly on a square with length 1 meter. Find the expected distance from the nearest edge of the square.
Explain the relationship between variance and standard deviation. can either of these be negative? Find the range, mean, variance and standard deviation of the saple data:
The feed mixes available for the horses' diet are an oat product, a highly enriched grain, and a mineral product. Each of these mixes contains a certain amount of five ingredients needed daily to ke
A vehicle with Canadian license plates entering the Luray Caverns is a camper? (b) A camper entering the Luray Caverns has Canadian license plates? (c) A vehicle entering the Luray Caverns does not
Suppose 4 balls are going to be randomly placed into one of 4 buckets. Find the probablility that:
In a simple bivariate regression with 60 observations there will be ____ residuals
Weights of certain monkeys are distributed with a mean of 44.1 pounds and a standard deviation of 3.9 pounds. What is the probability that a randomly selected monkey will: