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What is the probability that the colors are depleted in the order blue, red, green? What is the probability that the group of blue balls is the first of the three groups to be removed?
The manufacturer replaces free all motors that fail while under guarantee. If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered? Assume that the lifet
Students in a class are asked how often they read online newspapers. They answer using a 1,2,3,4,5 scale, where 1 = "never" and 5 = "every day." Their data are as follows: 4,5,1,1,5,3,1,4,1,5,3,5.
Which of the following contain the least amount of information as to whether the distribution of a population contains gap
The mode of a continuous distribution is the value x* thatmaximizes f(x). Does the uniform distribution with parameters a and have a singlemodel? Why or why not?
Assuming that no failures occur in standby and that the average duration of a storm is 10hr, what is the reliability of the genrator system
The airline desires to have a system MTTF of 2000hr. Determine the minimum MTTF of the main computer to achieve this goal assuming the standby computer does not change
Assuming A, G, C, and U can appear any number of times in a nucleotide chain and that all sequences are physically possible, what is the minimum length the chains must attain to have the capability
Denote F the cumulative distribution function of this distribution law. Epress each of the following probabilities through the values of F:
An urn contains three red balls and four black ones. The two balls are drawn at random (without replacement). The random variable X is the number of red balls among the balls drawn during our experi
An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired.
Fit both logistic and probit models, modelling proportion killed as a function of nicotine concentration. Are there any obvious differences in the fit of these models?
On average, Josh makes three word-processing errors per page on the first draft of his reports for work. What is the probability that on the next page he will make
Assuming a normal distribution of item values, what percentage of values would you expect to be out of bounds when the process is in control? What do you think is the rationale for this practice?
Let X be a discrete random variable with pmf f(x) and cdf F(x). Prove F(x) is a non-decreasing function, that is if x1< 2 then F(x1)<= F(x2). Under what condition will F(x1)=F(x2)?
Assuming that diastolic blood pressure measurements are Normally distributed, the DBP reading that represents the 80th percentile of the distribution is _____.
Assume that 64% of twins are of the same gender. Given that a newborn set of twins is of the same gender, what is the conditional probability that the twins are identical?
Predict the wolf population in (b) using the regression line itself. What percentage of the variation in the data is explained by the regression line?
The number of telephone calls that arrive at a phone exchange is often modeled as a poisson random variable. assume that on average there are 10 calls per hour,
A company has 7 senior and 5 junior officers. An ad hoc legislative committee is to be formed. In how many ways can a 5-officer committee be formed so that it is composed of:
To use the t-statistic to test for a difference between the means of two populations, what assumptions must be made about the two populations? About the two samples?
Suppose that each ticket costs $5 and the total cost of giving the concert is fixed and equal $2000. Then, if Y denotes profit from the concert, we have Y = 5X - 2000. What is the expected profit?
A survey of 77 freshman business students at a large university produced the following results: 25 of the students read bloomberg business week
At a day care, there are 5 apples, 8 pears and 12 oranges available for snack time. Marsha & Adrienne get to the front of the line ( in that order ) and get first pick at the fruit.
Suppose that a fair coin is tossed repeatedly and let N be the number of tosses until the rst heads is obtained. Find the probability mass function of N.