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State the conditions by which a Poisson distribution model may be suitable for a given random variable X.

The events recorded by X occur randomly, independently, singly in space and time and at a constant average rate (an average (mean) rate proportional to the length of the interval).

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State the conditions by which a Poisson distribution model may be suitable for a given random variable X.

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Find the general solution of the second order differential equation: y''+2y'-3 = 0

The infinite series C and S are defined C = acos(x) + a^2cos(2x) + a^3cos(3x) + ..., and S = asin(x) + a^2sin(2x) + a^3sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = asin(x)/(1 - 2acos(x) + a^2), and find C.

How do you find the general solution of a second order differential equation?

Find arsinh(x) in terms of x

State the conditions by which a Poisson distribution model may be suitable for a given random variable X.

Related Further Mathematics A Level answers

Find the general solution of the second order differential equation: y''+2y'-3 = 0

The infinite series C and S are defined C = a*cos(x) + a^2*cos(2x) + a^3*cos(3x) + ..., and S = a*sin(x) + a^2*sin(2x) + a^3*sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = a*sin(x)/(1 - 2a*cos(x) + a^2), and find C.

How do you find the general solution of a second order differential equation?

Find arsinh(x) in terms of x

The infinite series C and S are defined C = acos(x) + a^2cos(2x) + a^3cos(3x) + ..., and S = asin(x) + a^2sin(2x) + a^3sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = asin(x)/(1 - 2acos(x) + a^2), and find C.