# Math Help - Binomial PDF

1. ## 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

2. Originally Posted by axnman
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), $\Pr(Y \leq 3)$.