STATISTICS I (İSTATİSTİK) - (İNGİLİZCE) Dersi Discrete Probability Distributions soru detayı:

PAYLAŞ:

SORU:

Calculate the mean and variance for random discrete variable X which has the following distribution:

X=x 1 2 3 4
P(X=x) 0.20 0.10 0.40 0.30


CEVAP:
          Total
X=x 1 2 3 4  
P(X=x) 0.20 0.10 0.40 0.30  
X*P(X=x) 0.20 0.20 1.20 1.20 2.8 (Mean)
X-Mean -1.8 -0.8 0.2 1.2  
Square(X-Mean) 3.24 0.64 0.04 1.44 5.36
P(X=x)*Square(X-Mean) 0.648 0.064 0.016 0.432 1.16 (Variance)