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1. A string of 10 light bulbs is connected in parallel, which means that the entire string will fail to light up only if all 10 of the light bulbs fail. Assume that the lifetimes of the bulbs, τ1,..., τ10, are independent random variables that are exponentially distributed with mean θ. Find the distribution of the lifetimes of this string of light bulbs.
2. Let X1,..., Xn be a random sample from the uniform distribution f(x) = 1/2, 0 ≤ x ≤ 2. Find the probability density function for the range R = (X(n) - X(1)).
Compute the probability for the given frequency distribution.
You buy a new piece of equipment for $11,778 and you receive a cash inflow of 2,000 per year for 10years. What is the internal rate of return?
What are the two ways of testing a correlation coefficient for significance?
There are 25 students in a probability class. Assume that there are 365 days in each year, and that the birthrate is constant throughout the year.
Assuming that any newspaper left over has no value and that running short has no effect on any customer's tendency to return, determine the losses due to understockting and overstockting.
Assume that random variables X1,.....,X50 are independent and all have probability density function fX(x) = 1/x for 1
If one man and one woman are chosen randomly from the company, what is the probability that only one of them is able to use a spreadsheet?
a person has applied for positions at company a company b and company c. the probability of obtaining an offer from
a study is designed to investigate whether there is a difference in response to various treatments in patients with
Twenty single men were chosen at random and were asked if they would welcome a woman taking the initiative in asking for a date. What is the probability that seven (7) of the men say NO?
Of those mountain climbers who attempt mt. McKinley, only 60% reach the summit. In a random sample of 14 mountain climbers who are going to attempt mt. McKinley, what is the probability of each of the following?
1. in the basic economic order quantity eoq model if monthly demand is a constant 430 units the order quantity is 144
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