maths probability

The lifetime X of a bulb is a random variable with the probability density function:
f(x)=6[0.25-(x-1.5)^2] when 1<=x<=2
0 otherwise
X is measured in multiples of 1000 hrs. What is the probability that none of the three
bulbs in a traffic signal have to be replaced in the first 1500 hrs of their operation.

  1. 👍 0
  2. 👎 0
  3. 👁 126

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    Suppose that a random variable Y has a probability density function given by f(y) = ( ky 3 e y=2 ; y > 0 0; elsewhere: Find the value of k that makes f(y) a density function.

    asked by Anonymous on April 16, 2012
  2. probability

    The lifetime of a type-A bulb is exponentially distributed with parameter λ. The lifetime of a type-B bulb is exponentially distributed with parameter μ, where μ>λ>0. You have a box full of lightbulbs of the same type, and you

    asked by A on April 3, 2014
  3. math

    Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x􀀀2; if x  2 0; if x < 2 Find the probability that a randomly chosen

    asked by vilma on October 26, 2012
  4. physics

    An energy-efficient lightbulb, taking in 25.0 W of power, can produce the same level of brightness as a conventional bulb operating at power 100 W. The lifetime of the energy-efficient bulb is 10,000 h and its purchase price is

    asked by carlton on November 14, 2011
  5. math

    Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x􀀀2; if x  2 0; if x < 2 Find the probability that a randomly chosen

    asked by vilma on October 26, 2012
  6. math

    Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x􀀀2; if x  2 0; if x < 2 Find the probability that a randomly chosen

    asked by vilma on October 26, 2012
  7. math

    The random variable X has probability density function f(x)={ax+bx2 , 0

    asked by Giri on August 11, 2014
  8. Maths

    The random variable X has probability density function f(x)={ax+bx2 , 0

    asked by Lenin on August 12, 2014
  9. Math

    A random variable X has a cumulative distribution fnc given by 0 for a

    asked by Julie on March 25, 2009
  10. Math

    The discrete random variable W has probability density function (p.d.f.) given by: P(W=w) = c(5-w) for w= 0, 1, 2, 3 Find c I honestly have no idea how to start Any help is appreciated. Thanks.

    asked by Ramesh on November 25, 2018

More Similar Questions