A shipment of five computer contains two that are slightly defective. If a retailer receive three of computers at random,list the elements of the sample paces using the letters D and N for defective and non-defective computers, respectively.to each sample point assign a value of X of the random variable X representing the numbers computers purchased by the retailer which are slightly defective
Elements of the sample space: {(N,N,N),(N,N,D),(N,D,N),(D,N,N),(N,D,D),(D,N,D),(D,D,N)}.
Number of all possible samples: "C_5^3=10."
"P(X=0)=\\frac{C_2^0C_3^3}{C_5^3}=\\frac{1}{10}."
"P(X=1)=\\frac{C_2^1C_3^2}{C_5^3}=\\frac{3}{5}."
"P(X=2)=\\frac{C_2^2C_3^1}{C_5^3}=\\frac{3}{10}."
"P(X=3)=0."
Comments
Leave a comment