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Math Help - Binomial PDF

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    Binomial PDF

    Que. 1 : In a mech. sys. 5 bulbs are used and system will operate if any 3 are functioning. Given that 15% of bulbs are defective , with aid of binomial PDF determine what are the chances that the system will malfunction?

    Que. 2 :
    Suppose 15% of total population of tubes is defective and that 5 tubes are randomly selected. Determine the probability that there will be among those selected:
    1) no defectives
    2) only 2 defectives
    3) no more than 2 defectives
    4) only 3 defectives
    5) no more than 3 defectives
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    Quote Originally Posted by axnman View Post
    Que. 1 : In a mech. sys. 5 bulbs are used and system will operate if any 3 are functioning. Given that 15% of bulbs are defective , with aid of binomial PDF determine what are the chances that the system will malfunction?

    Que. 2 : Suppose 15% of total population of tubes is defective and that 5 tubes are randomly selected. Determine the probability that there will be among those selected:
    1) no defectives
    2) only 2 defectives
    3) no more than 2 defectives
    4) only 3 defectives
    5) no more than 3 defectives
    Q1 Let X be the random variable number of bulbs not working.

    X ~ Binomial(n = 5, p = 0.15).

    Calculate \Pr(X \geq 3).


    Q2 Let Y be the random variable number of defective tubes.

    Y ~ Binomial(n = 5, p = 0.15)

    Calculate Pr(Y = 0), Pr(Y = 2), \Pr(Y \leq 2), Pr(Y = 3), \Pr(Y \leq 3).
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