Home
Class 12
MATHS
In a city 10 accident take place in a sp...

In a city 10 accident take place in a span of 50 days. Assuming that the number of accidents follow the Poisson distribution, the probability that three or more accident occure in a day , is

A

` sum_(k=3)^(infty)(e^(-lambda)lambda^(k))/(k!), lambda=0.2`

B

` sum_(k=3)^(infty)(e^(lambda)lambda^(k))/(k), lambda=0.2`

C

` sum_(k=0)^(3) (e^(-lambda)lambda ^(k))/(k!), lambda =0.2`

D

`sum_(k=0)^(3) (e^(-lambda)lambda ^(k))/(k!), lambda =0.02`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -1)|4 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -2)|3 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos
  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos
  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

In a city 10 accidents take place in a span of 50 days. Assuming that the number of accidents follow the posion distribution, the probability that three or more accidents occur in a day, is

Number of accidents on a national highway each day is a poisson variable with an average of three accidents per a day. Find the probability that no accidents will occur on a given day.

If the number of telephone calls an operator receives between 10.00 pm to 10.10 pm follow poisson distribution with mean 3. The probability that the operator receives one call during that interval the next day is

An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained is given in the following table: Find the probabilities of the following events for a driver chosen at random from the city: (i) The driver being in the age group 18-29 years and having exactly 3 accidents in one year. (ii) The driver being in the age group of 30-50 years and having one or more accidents in a year. (iii) Having no accidents in the year.

An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained is given in the following table: Find the probabilities of the following events for a driver chosen at random from the city: (i) The driver being in the age group 18-29 years and having exactly 3 accidents in one year. (ii) The driver being in the age group of 30-50 years and having one or more accidents in a year. (iii) Having no accidents in the year.

At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with an average of 5 phone calls during 10 minute time intervals. The probability that there is at the most one phone calls during a 10 minute time period is

DIPTI PUBLICATION ( AP EAMET)-THEORETICAL DISTRIBUTIONS-EXERCISE 1 (CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVE 1,2,3 OR 4 GIVEN )
  1. In a Poission X, If P(X=0)=0.2 then the variance of the distribution i...

    Text Solution

    |

  2. If X is a Poisson variate with P(X=0)=0.8, then the variance of X is

    Text Solution

    |

  3. If X is a Poisson distribution with parameter lambda =3//2 and e^(-3//...

    Text Solution

    |

  4. At a telephone enquiry system the number of phone calls regarding rele...

    Text Solution

    |

  5. In a Poisson distribution the variance is m . The sum of the terms in ...

    Text Solution

    |

  6. If 3% of electric bulbs manufactured by a company are defective , then...

    Text Solution

    |

  7. If 2% of a given lot of manufactured parts are defective , then the pr...

    Text Solution

    |

  8. If 3% of the electric bulbs manufactured by a company are defective , ...

    Text Solution

    |

  9. A book contains 100 misprints distributed randomly through out its 100...

    Text Solution

    |

  10. In a book of 500 pages , it is found that there are 250 typing errors ...

    Text Solution

    |

  11. Suppose on an average 1 house in 1000 in a certain district has a fire...

    Text Solution

    |

  12. If on an average 5 precent of the output of a factory making certain p...

    Text Solution

    |

  13. In a city 10 accident take place in a span of 50 days. Assuming that t...

    Text Solution

    |

  14. If ten precent of the tools produced in a factory turn out to be defec...

    Text Solution

    |

  15. A company knows on the basis of past experience that 2% of its blades ...

    Text Solution

    |

  16. The probability that an idividual suffers a bad reaction from an injec...

    Text Solution

    |

  17. The incidence of an occupation disease to the workers of a factory is ...

    Text Solution

    |

  18. Five coins are tossed 3200 times. Using the Poisson distribution , the...

    Text Solution

    |

  19. Cycle tyres are supplied in lots of 10 and there is a chance of 2 in 1...

    Text Solution

    |

  20. Cycle tyres are supplied in lots of 10 and there is a chance of 1 in 5...

    Text Solution

    |