mathematical problem?
have a machine, where only 2% of widgets produced are defective. I randomly select two widgets...? I have a machine, where only 2% of widgets produced are defective. I randomly select two widgets that have been produced by the machine. For the following questions, round to the nearest hundredth.
How many experimental outcomes yield 2 defects?
What is the P(no defects)?
What is the P(one defect)?
What is the P(two defects)? (Do not round for this problem)
Say we chose three widgets instead of two widgets, how many experimental outcomes would produce exactly one defect?
A) 6
3
C) 4
D) 5
E) 9
Comments
here is the probability distribution for your two experiments:
Binomial Distribution: n= 2 p= .02 µ = .04 ; σ = .1979899
-- X -- P(X) ------ Σ P(X)
0: 0.960400001, 0.960400001,
1: 0.039199999, 0.999600000,
2: 0.000400000, 1.000000000,
Binomial Distribution: n= 3 p= .02 µ = .06 ; σ = .2424871
-- X -- P(X) ------ Σ P(X)
0: 0.941192001, 0.941192001,
1: 0.057623999, 0.998816000,
2: 0.001176000, 0.999992000,
3: 0.000008000, 1.000000000,