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Let {X(t), t ≥ 0} be a Poisson process with intensity parameter λ. Suppose each arrival is "registered" with probability p, independent of other arrivals. Let {Y(t), t ≥ 0} be the process of "registered" arrivals. Prove that Y(t) is a Poisson process with parameter λp.
The actual weight of soap powder in a box has a normal distribution, with a mean of 33 oz. and a standard deviation of 0.7 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
what were the original dimensions of the piece of the piece of metal.
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
the height of a ball thrown by a child is given by:-1/12x2+2x+4where x is the horizontal distance from the point at which the ball is thrown. What is the maximum height of the ball?
a stockholder sold 150 shares of stock at 34 1/4 per share find the stockholders loss per share The stock had been purchased at 36 5/8 per share.
If the unit selling price is $2.50 and the unit cost is $1.00, what action is needed to maintain the gross margin percentage when unit cost increases $0.25?
How long does it take the ball to reach the plate? Show and explain your work. c. What is the maximum height of the ball? When is the maximum height reached? Show and explain your work.
If the farmer can make a profit of $140 per acre on crop A, $200 per acre on crop B and $150 per acre on crop C how many acres of each crop should be palnted to mazimize profit?
Suppose you want to collect a sample of certain size from a continuous population to satisfy given confidence level and margin of error. What formula do you use to determine the sample size if you know the population proportion?
find the critical points domain endpoints and extreme values absolute and local for each function.yx23x2-4y4-2x for
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
United States imports increased 20 percent and exports decreased 10 percent during a certain year, the ratio of imports to exports at the end of the year was how many times the ratio
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