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Solve the equation :
(7y-3x+3)dy + (3y-7x+7)dx =0
Let f(x, y) ={y³/x²+y² if (x, y) ≠(0, 0)
0 otherwise
Show that f is continuous but not differentiable at (0, 0)
given that \( x \) is a random variable from a binomial distribution with parameter \( (n, p) \), Using the m.g.f technique show that the expected value and variance of \( x \) is \( n p \) and \( n p q \) respectively
What is the variable x after the statement -if2+3=6 if and only if 3+2=5, x = x+1^ - if x = 2 ?
A discrete random variable x has an expected value of 45 and variance of 16. Let us say we double every x's within the probability distribution. What will be the new variance?
The probability of a telesales representative making a sale on a customer call is 0.15. Assuming this percentage holds true for future attempts, answer the following questions.
i. Find the probability that in the next 12 calls, the number of sales made is less than 2.
ii. Find the probability that in the next 15 calls, the number of sales made is more than 3.
A sample with size n = 3 is drawn from the set 5, 6, 8, 12, and 20. Construct the sampling distribution of the sample means.
Coplanar points are points on the same plane. X, Y, Z are coplanar points.therefore
find points of intersection of
f(x)=x^4+8x^3+16x^2
g(x)=5-4x^2-16x
The probability of a telesales representative making a sale on a customer call is 0.15. Assuming this percentage holds true for future attempts, answer the following questions.
i. Find the probability that in the next 12 calls, the number of sales made is less than 2.
ii. Find the probability that in the next 15 calls, the number of sales made is more than 3.
