Home
Class 12
MATHS
In a meeting, 70% of the members favo...

In a meeting, 70% of the members favour and 30% oppose a certain proposal. A member is selected at random and we take X = 0 if he opposed, and X = 1 if he is in favour. Find E(X) and Var (X).

Text Solution

Verified by Experts

Probability of members, favouring any proposal on X=1
70 %=70 / 100=0.70
Probability of members, opposing any proposal on X=0
30 %=30 / 100=0.30
...
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    RD SHARMA|Exercise Solved Examples And Exercises|306 Videos
  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos

Similar Questions

Explore conceptually related problems

Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

Given X ~ B ( n,p)If p =0 .6 E (X) =6, find n and Var (X)

In a class,30% of the students offered English,20% offered Hindi and 10% offered both.If a student is selected at random,what is the probability that he has offered English or Hindi? (2)/(5) (b) (3)/(5) (c) (3)/(4) (d) (3)/(10) (e) None of these

Let X = { x|1 le x le 50, x in N } . A member of the set X is selected at random. Find the probability that the selected number is a solution of the inequation (x^2 - 30x +200)/(x-15) <0 .

In an examination 30% of the students failed in Physics, 25% in Mathematics and 12% in both Physics and Mathematics. A student is selected at random. Find the probability that the student has failed in Physics, if it is known that he has failed in Mathematics. (ii) the student has failed at least one of the two subjects (ii) the student has passed at least one of the two subjects (iv) the student has passed in Mathematics if he failed in Physics.

In a class, 30% of the students offered mathematics, 20% offered chemistry and 10% offered both. If a student is selected at random, find the probability that he has offered mathematics or chemistry.

A car manufacturing factory has two plants X and Y. Plant X manufactures 70% of the cars and plant Y manufactures 30%. At plant X, 80% of the cars are rated of standard quality and at plant Y, 90% are rated of standard quality. A car is picked up at random and is found to be of standard quality. Find the probability that it has come from plant X.

In a class 45% students read English, 30% read French and 20% read both English and French. One student is selected at random. Find the probability that he reads English, if it is known that he reads French.

RD SHARMA-MEAN AND VARIANCE OF A RANDOM VARIABLE -Solved Examples And Exercises
  1. Two dice are thrown simultaneously. If X denotes the number of sixe...

    Text Solution

    |

  2. Two numbers are selected at random(without replacement) from the first...

    Text Solution

    |

  3. In a meeting, 70% of the members favour and 30% oppose a certain pr...

    Text Solution

    |

  4. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, ...

    Text Solution

    |

  5. Find the probability distribution of the number of success in two toss...

    Text Solution

    |

  6. Two cards are drawn successively with replacement from a well shuffled...

    Text Solution

    |

  7. A fair coin is tossed until a head or five tails occur. If X denote...

    Text Solution

    |

  8. In a game, a man wins a rupee for a six and loses a rupee for any o...

    Text Solution

    |

  9. In a group of 30 scientists working on an experiments 20 never comm...

    Text Solution

    |

  10. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  11. Find the mean and standard deviation of each of the following proba...

    Text Solution

    |

  12. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  13. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  14. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  15. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  16. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  17. Find the mean and standard deviation of the following probability dist...

    Text Solution

    |

  18. A discrete random variable X has the probability distribution given be...

    Text Solution

    |

  19. Find the mean variance and standard deviation of the following prob...

    Text Solution

    |

  20. Two cards are drawn simultaneously (or successively without replace...

    Text Solution

    |