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A JEE aspirant estimates that she will b...

A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per day, with a 60 percent chance if she studies 7 hours per day and with 40 percent chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1, 0.2 and 0.7 respectively. The chance she will be successful is: a. 0.28 b. 0.38 c. 0.48 d. 0.58

A

0.28

B

0.38

C

0.48

D

0.58

Text Solution

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The correct Answer is:
(c)
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A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per day, with a 60 percent chance if she studies 7 hours per day and with 40 percent chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1, 0.2 and 0.7 respectively. Given that she will achieve success, the chance she studied for 4 hours is?

A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per day, with a 60 percent chance if she studies 7 hours per day and with 40 percent chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1, 0.2 and 0.7 respectively. Given that she does not achieve success, the chance she studied for 4 hours is?

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ARIHANT MATHS-PROBABILITY-Exercise (Passage Based Questions)
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  2. There are n students in a class. Ler P(Elambda) be the probability tha...

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  3. There are n students in a class. Ler P(Elambda) be the probability tha...

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  4. A cube having all of its sides painted is cut by two horizontal, two v...

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  5. A cube having all of its sides painted is cut to be two horizontal, tw...

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  6. A cube having all of its sides painted is cut to be two horizontal, tw...

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  7. A JEE aspirant estimates that she will be successful with an 80 percen...

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  8. A JEE aspirant estimates that she will be successful with an 80 percen...

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  9. A JEE aspirant estimates that she will be successful with an 80 percen...

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  10. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  11. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  12. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  13. Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}...

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  14. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of incre...

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  15. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of non d...

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  16. A random variable X takes the values 0,1,2,3,..., with prbability P(X=...

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  17. A random variable X takes values 0, 1, 2, 3,… with probability proport...

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  18. A random variable X takes values 0, 1, 2,...... with probability propo...

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  19. Factorise : 8x^3 + y^3 + 27z^3 -18xyz

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  20. Evaluate int2/(2x+12)dx

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