Home
Class 12
MATHS
A random variable X has the probability ...

A random variable X has the probability distribution:
`{:(X:,1,2,3,4,5,6,7,8),(p(X):,0.15,0.23,0.12,0.10,0.20,0.08,0.07,0.05):}`
For the events E={X is a prime number} and `F={X lt 4}`, the probability `P(E uu F)` is

A

`0.87`

B

`0.50`

C

`0.35`

D

`0.77`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Exercise-II|130 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Additional Exercise|29 Videos

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

Similar Questions

Explore conceptually related problems

A random variable X has the following distribution {:(x:,1,2,3,4),(P(X=x):,0.1,0.2,0.3,0.4):} Then its mean is

A random variable X has the following distribution {:(x,:-3,-2,-1,0,1,2,3),(P(X=x):,0.05,0.1,0.3,0,0.3,0.15,0.1):} The mean and variance are

A random variable X has the following distribution {:(X=x_(1):,-2,-1,0,1,2,3),(P(X=x_(1)):,0.1,k,0.2,2k,0.3,k):} The value of k and its mean and variance are

The probability distribution of a random variable X is given by {:(X=x,0,1,2,3,4),(P(X=x),0.4,0.3,0.1,0.1,0.1):} The variance of X is

A random variable X has the following probability distribution: {:(X=x,P(X=x)),(0,0),(1,k),(2,2k),(3,2k),(4,3k),(5,k^2),(6,2k^2),(7,7k^2+k):} Find k

A random variable X has the following probability distribution: {:(X=x,P(X=x)),(0,0),(1,k),(2,2k),(3,2k),(4,3k),(5,k^2),(6,2k^2),(7,7k^2+k):} Find the mean

A random variable X has the following probability distribution. Find (i) k (ii) Mean (iii) P(0 lt X lt 5)

If X is a random variable with probability distribution P(X=k)=((k+1)C)/(2^(k)),K=0,1,2,…. then find C.

A random variable X has the following probability distribution: {:(X=x,P(X=x)),(0,0),(1,k),(2,2k),(3,2k),(4,3k),(5,k^2),(6,2k^2),(7,7k^2+k):} Find p(0 lt x lt 5)

A random variable X follows the following distribution {:(X=x_(i):,0,1,2,3),(P(X=x_(i)):,2//6,3//6,0//6,1//6,):} The mean and the variance are

AAKASH SERIES-PROBABILITY-Exercise-I
  1. Only one of the two events A and B must occur. If P(A) = (2)/(3)P(B), ...

    Text Solution

    |

  2. In a competition A, B and C are participating . The probability that A...

    Text Solution

    |

  3. A random variable X has the probability distribution: {:(X:,1,2,3,4,...

    Text Solution

    |

  4. If A and B are two mutually exclusive events then

    Text Solution

    |

  5. If A and B are two events of a sample space then P(A)-P(B)=

    Text Solution

    |

  6. If a card is drawn from a pack of cards then the probability of select...

    Text Solution

    |

  7. If 2 cards are drawn from a pack of cards then the probability of gett...

    Text Solution

    |

  8. If two dice are rolled then the probability of getting both even or su...

    Text Solution

    |

  9. One hundred students appeared for two examinations 60 passed in first,...

    Text Solution

    |

  10. If one ticket is randomly selected from, tickets numbered 1 to 30 then...

    Text Solution

    |

  11. A card is drawn at random from a pack of cards. The probability that t...

    Text Solution

    |

  12. If A and B are two events such that P(A) = 0.3 , P(B) =0.6 and P(B|A) ...

    Text Solution

    |

  13. If A and B are two events such that P(A) = 0.3 , P(B) = 0.6 and P(B|A)...

    Text Solution

    |

  14. If A and B are two events such that P(A|B)=0.6, P(B|A)=0.3, P(A)=0.1 t...

    Text Solution

    |

  15. Two events A and B are such that P(A) = (1)/(2), P(A|B) = (1)/(4) and ...

    Text Solution

    |

  16. Suppose E and F are two events of a random experiment. If the probabil...

    Text Solution

    |

  17. A young couple has two children. The probability that both children ar...

    Text Solution

    |

  18. A couple has 3 children and it is known that atleast one of them is a ...

    Text Solution

    |

  19. Two dice are thrown at a time and the sum of the numbers on them is 6....

    Text Solution

    |

  20. Two coins are tossed . The probability of getting 2 tails if it is kno...

    Text Solution

    |