Answer:
Mean =[tex]\sum x P(x) = 36.86[/tex]
Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]
Step-by-step explanation:
x P(x) [tex]x \times P(x)[/tex] [tex]x^2 \times P(x)[/tex]
33 0.02 0.66 21.78
34 0.06 2.04 69.36
35 0.1 3.5 122.5
36 0.2 7.2 259.2
37 0.24 8.88 328.56
38 0.26 9.88 375.44
39 0.1 3.9 152.1
40 0.02 0.8 32
1 36.86 1360.9
We are supposed to find mean and standard deviation
Mean =[tex]\sum x P(x) = 36.86[/tex]
Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]