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P(A)=0.2, P(A|B) = 0.3 and P(AuB)=0.6. Find i P(B) ii P(B'|A')

i. P(AuB) = P(A) + P(B) - P(AnB) P(AnB) = P(A|B)P(B) = 0.3P(B) P(AuB) = P(A) + 0.7 P(B) --> 0.6 = 0.2 + 0.7 P(B) --> P(B) = 4/7 ii. P(B'|A') = P(A'nB')/P(A') P(A'nB') = 1 - P(AuB) P(B'|A') = 0.4/0.8 = 1/2
WS
9975 Views

How do you calculate the cross product of two vectors?

To calculate the cross product of two vectors you take the coordinates of vector 1 which are (x 1 ,y 1 ,z 1 ) and the coordinates of vector 2 which are (x 2 ,y 2 ,z 2 ) and put these coordinates into a 3x3 m...
MK
3865 Views

Find the area of the surface generated when the curve with equation y=cosh(x) is rotated through 2 pi radians about the x axis, with 2<=x<=6

Use the formula for the surface area of revolution, which requires dy/dx. So find dy/dx = sinh(x) and substitute dy/dx and y into the formula with the limits provided in the question (2 and 6). Then evaluate...
JH
5382 Views

How do I know which substitution to use if I am integrating by substitution?

It is not just trial and error, as this will eat away time in the exam. if you can't see it straight away then you need to consider some things. for example a common question might be find the integral of (3...
TG
3086 Views

How do you find the derivative of arcsinx?

to find the derivative, we can first make this easier to visualise. Say a second variable, y, is included to make this become y = arcsinx. now if we sin both sides, we get siny = x. we already know the deriv...
TG
4792 Views