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a certain kind of sheet metal has, on average, 9 defects per 20 square feet. Assuming a poison distribution, find the probability that a 32 square foot metal sheet has at least 18 defects. Round your answer to four decimals



At a certain location on Highway E31, the number of trucks exceeding the speed limit by more than 10 miles per hour in half an hour is a random variable of interest. The average of this random variable is known as 8.4. What is the probability of a waiting time of less than 5 minutes between cars exceeding the speed limit by more than 10 miles per hour?


If diagonal of a box is fixed = 1 unit; and length = x , breadth = y, height = z. Then; using Language Multiplier method, the problem : maximise the volume of the box":

If A=2xz^2i-yzj+3xz^3k then what is the value of curlA?

if R={(1,2),(2,1),(3,1),(2,3)} be a relation defined on A={1,2,3)then transitive closure of R is


If A=2xz^2i-yzj+3xz^3k then what is the value of curlA?

Suggest an appropriate sampling method, giving a reason.For the following situation: To find the average income of employees,in a certain factory employing various categories such as managers, supervisors, clerks, workers.

Show that if any five numbers from 1 to 8 are chosen, then two of them will add up to 9. 


find the inverse of the following matrix A and rank of a 2. 1. 2

1. 3. 0

-1. 1. 2


for the following differential equation locate and classify its singular points on the x axis x^2y"+(2-x)y'=0

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