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In a certain college, 4% of boys and ...

In a certain college, 4% of boys and 1% of girls are taller than 1.75 metres. Furthermore, 60% of the students in the college are girls. A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the selected student is a girl.

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To solve the problem step by step, we will use Bayes' theorem to find the probability that a randomly selected student who is taller than 1.75 meters is a girl. ### Step 1: Define the events Let: - \( G \): the event that the student is a girl - \( B \): the event that the student is a boy - \( S \): the event that the student is taller than 1.75 meters ...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate the following: int(x+2)/(sqrt((x-2)(x-3)))\ dx

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  2. Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homoge...

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  3. In a certain college, 4% of boys and 1% of girls are taller than 1....

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  4. Find the vector equation of the plane passing through the points (2,...

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  5. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  6. Prove that the area in the first quadrant enclosed by the axis, the ...

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  7. Show that the altitude of the right circular cone of maximum volume ...

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  8. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  9. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  10. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

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  11. Evaluate : int(cosx)/((2+sinx)\ (3+4sinx) dx

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  12. If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]], then write the value o...

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  13. Find the particular solution of the differential equation. (dy)/(dx...

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  14. Show that f\ : NvecN ,\ given by f(x)={x+1, if\ x\ i s\ od d \ \ x-...

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  15. Evaluate : int(logx)/x\ dxdot

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  16. What is the value of the determinant |(0,2,0),(2,3,4),(4,5,6)|?

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  17. What is the degree of the following differential equation? 5x\ ((d...

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  18. What is the range of the function f(x)=(|x-1|)/((x-1))?

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  19. If A=[[cos alpha,-sin alpha],[sin alpha,cos alpha]], then for what val...

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  20. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

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