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(X-1)/-3=(5y +1)/-2,z=3 is the equation of a line with direction ratios 3,-2,1
State whether the following statement is true or false. Give reasons for your answer
State whether the following statement is true or false. Give reasons for your answer
If 50 (FIFT) classes of 20 (TWENTY) students are randomly selected, what is the probability that 10 (TEN) classes have no left-handed students
A pain reliever currently being used in a hospital is known to bring relief to patients in a mean time of 3.5minutes. To compare a new pain reliever with the one currently in use, the new drug is administered to a random sample of fifty patients’. The mean time to relief for the sample of patients is 2.8minutes and the variance is 1.3minutes.Do the data provide sufficient evidence to conclude that the new drug was effective in reducing the mean time until a patient receives relief from pain?. Test using p-value and let =0.10
8. Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components. 30% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0.1, and 2 defective components being in the batch under the condition that neither tested component is defective
10. A ____________________ random variable is memoryless
7. Two petrol station are located in a street at Victoria island, each of the petrol station has 5 pumps, an experiment was carry out to determine the number of pumps in use at a particular time of the day at each of the petrol station, assume an experimental outcome is (x,y), where x specified the number of pumps in use at the 1st station and y the number of pumps in use at the second station. How many of such outcome will you have in this experiment?
Given two set A={5,6,7,8,9,10} and B={x:5 <x <10}. Find A/B
10. A ____________________ random variable is memoryless
7. Two petrol station are located in a street at Victoria island, each of the petrol station has 5 pumps, an experiment was carry out to determine the number of pumps in use at a particular time of the day at each of the petrol station, assume an experimental outcome is (x,y), where x specified the number of pumps in use at the 1st station and y the number of pumps in use at the second station. How many of such outcome will you have in this experiment?
Given two set A={5,6,7,8,9,10} and B={x:5 <x <10}. Find A/B
4. When you toss 5 coins once, if the number of head(s) is the random variable define on the resulting sample space. What is the set of random variable resulting from this experiment?
5.Let X have a standard gamma distribution with alpha =7. Compute P(X <4 or X>6)
6.If x is a normal variable with the mean u=5 and variance (sigma square)=16, what is the probability that x is less than or equal to 6?
7. Let X have a uniform distribution on the interval [A,B]. compute V(X)
9. Set X has 8 elements and set Y has 10 elements, if there are 5 common elements in X and Y, what is the cardinality of X union Y?
5.Let X have a standard gamma distribution with alpha =7. Compute P(X <4 or X>6)
6.If x is a normal variable with the mean u=5 and variance (sigma square)=16, what is the probability that x is less than or equal to 6?
7. Let X have a uniform distribution on the interval [A,B]. compute V(X)
9. Set X has 8 elements and set Y has 10 elements, if there are 5 common elements in X and Y, what is the cardinality of X union Y?
Find the temperature in a bar of length l with both ends insulated and with initial
temperature in the rod being sin ( π x / l ) .
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temperature in the rod being sin ( π x / l ) .
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Solve the following differential equations
i) (x^2) p + (y^2) q = (x + y ) z
ii) √p - √q + 3x = 0
i) (x^2) p + (y^2) q = (x + y ) z
ii) √p - √q + 3x = 0
Solve, using the method of variation of parameters
(d2y/dx2) - y = 2/(1+e^x)
(d2y/dx2) - y = 2/(1+e^x)
Check whether the following system of equations has a solution
x + y + 3z + w = 5
-x + y + z - 5w = 7
x + 2y + 5z - w = 5
x + y + 3z + w = 5
-x + y + z - 5w = 7
x + 2y + 5z - w = 5
Find the radius and the center of the circular section of the sphere |r| = 17 cut off by
the plane r . (i + 2j + 2k) = 24.
the plane r . (i + 2j + 2k) = 24.
