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Evaluate ∮c e^z/(z+2) (z+3) dz where C is |z|=1?
A)-2
B)-4
C) 1
D) 0
Find the inverse Laplace of {2s+5/s^2+25}?
A) 2Sin5t+Cos5t
B) Cos5t-2Sin5t
C) 2Cos5t+Sin5t
D) 2Cos5t-Sin5t
Obtain a partial Differential equation by eliminating arbitrary constants from z=(x-α) ^2 +(y-β) ^2?
A) 2z=p^2+q^2
B) 4z=p^2+q^2
C) 4z=p+q
D) z^2=p^2+q^2
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 811 hours and a standard deviation of 95 hours. Find the probability that a random samples of 44 bulbs will have an average life of less than 799 hours.
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 65 hours. Find the probability that a random samples of 46 bulbs will have an average life of less than 788 hours.
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 808 hours and a standard deviation of 93 hours. Find the probability that a random samples of 19 bulbs will have an average life of greater than 799 hours.
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 810 hours and a standard deviation of 74 hours. Find the probability that a random samples of 36 bulbs will have an average life of greater than 803 hours
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 801 hours and a standard deviation of 98 hours. Find the probability that a random samples of 19 bulbs will have an average life between 782 and 818 hours.
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 777 hours and a standard deviation of 26 hours. Random samples of 30 bulbs are drawn from this population, and the mean of each sample is determined. What is the mean of the mean of the sampling distribution?
The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function.
f(x) = x, 0 < x < 1,
2 − x, 1 ≤ x < 2,
0, elsewhere.
Find the probability that over a period of one year, a
family runs their vacuum cleaner
(a) less than 120 hours;
(b) between 50 and 100 hours.
