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1. The probability distribution of Y, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width is given by
yi
0
1
2
3
4
f(yi)
0.41
0.37
0.16
0.05
0.01
a. Find the probability that the number of imperfections for the fabric is less than 2.
b. Give the cumulative distribution for 2? y < 3.
c. Calculate the expected value for this distribution.
d. Calculate the variance and standard deviation for this distribution.
Wall Street securities firms paid out record year-end bonuses of $145,500 per employee for 2005 (Fortune, February 6, 2006). Suppose we would like to take a sample of employees at the Jones & Ryan securities firm to see whether the mean year-end b..
Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?
What proportion of 330 cci cars fall between 26 to 30 miles per gallon range? Compute the percentage of each of the car models that get 30 or more mpg.
The number of traffic accidents that occurs on particular stretch roas during a month follows a Poisson distribution with mean of 8.5. Find the probability of observing exactly three accidents of this stretch of road next month.
Population is know (from a previous large survey) to be $3000 with the standard deviation of $400. Find the 99% confidence interval for the sample mean.
Tourism is one consideration for CoffeeTime's future. A survey of 1,233 visitors to Mumbai last year revealed that 110 visited a small cafe during their visit. Laura claims that 10% of tourists will include a visit to a cafe.
in order to determine the average weight of carry-on luggage by passengers in airplanes a sample of 16 pieces of
The following data show samples of three chain stores in three different locations in one town and the amount of dollars spent per customer per visit. At the 0.05 level, is there a difference among the means?
Is spine bone density is normally distributed in young women with a mean of 1.0 g/cm 2 and a standard deviation of .10 g/cm 2 , then how many young women out of 100 would you expect to have bone densities less than .85 g/cm 2 ?
Company W is testing a sales software. Their salesforce of 500 people is divided into four regions: Northeast, Southeast, Central and West. Each sales person is expected to sell the same amount of products.
Consider the relationship between yearly wine consumption (litres of alcohol from drinking wine per person) and yearly deaths from heart disease (deaths per 100,000 people) in 19 developed countries.
Investment A has an expected return of $25 million and Investment B has an expected return of $5 million. Market risk analysts believe the standard deviation of the return from A is $10 million
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