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In a railway yard goods trains arrive that at the rate of 30 trains per day. Assuming
that the inter-arrival time follows an exponential distribution and the service time
distribution is also exponential with an average of 36 minutes, calculate the probability the yard is empty 2) the average length assuming that the line capacity of the yard is 9 trains
.
If all of your computer data are stored on a hard disk drive with a copy stored on a second
hard disk drive, what is the probability that both drives will fail during a year?
Consider estimating the mean of a variable drawn from a population with mean u and standard deviation o, using the following formulae: Ĥ1 = x1. X + x2 2 X1 + 2x2 X +x2 3 is = %3D Assume that in all cases the individual estimates x, are independent of each other. Determine the bias, variance, and mean square error for each of the estimators. Which ones are biased?
Find nth term of sequence (2)^2 , (5)^2,(8)^2.....
Answer in form(3n-1)^2
The brain volumes (centemeters cubed) of 20 brains have a mean of 1115.9 cm cubed and a standard deviation of 120.9 cm cubed. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1377.7 cm cubed be significantly high?
Show that the function f defined by f(x)= 1/x^2 is uniformly continuous on [a, ∞] , a> 0
Show that the sequence (fn) sequence where
fn(x)= x/(1+nx^2), x∈[2,∞] is uniformly convergent in [2,∞]
what is the probability that a market inspector will discover greater three violations of the public health code
When the air resistance is ignored, the horizontal range R of a projectile is given by R(θ) = v2 0 g sin 2θ where v0 is the constant initial velocity, g is the acceleration due to gravity, and θ is the angle of elevation or departure. Find the maximum range of projectile.
Solve the equation of x²p²+xp-(y²+y)=0
