Answer: a) 0.545,b) 0.41, c) 0.045, d) not possible.
Step-by-step explanation:
The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable
x represent the number that are not correctly calibrated.
Complete the probability distribution table.
x={0,1,2,3}
P(x=0)=?
P(x=1)=?
P(x=2)=?
P(x=3)=?
Since we have given that
n = 12
number of good one = 3 from 10
number of bad one = 2
So, P(X=0)=[tex]\dfrac{^{10}C_3\times ^2C_0}{^{12}C_3}=\dfrac{120}{220}=0.545[/tex]
P(X=1) = [tex]\dfrac{^{10}C_2\times ^2C_1}{^{12}C_3}=\dfrac{90}{220}=0.41[/tex]
P(X=2)=[tex]\dfrac{^{10}C_1\times ^2C_2}{^{12}C_3}=\dfrac{10}{220}=0.045[/tex]
P(X=3) is not possible.
Hence, a) 0.545,b) 0.41, c) 0.045, d) not possible.
