Answer:
[tex]\=x=2.1[/tex]
[tex]\sigma=2.03[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size[tex]n=100[/tex]
Probability of a defective widget [tex]P=0.021[/tex]
Generally the equation for binomial trial is mathematically given by
[tex]q=1-p[/tex]
[tex]q=1-0.021[/tex]
[tex]q=0.979[/tex]
Since X is binomial random variable with functions of n and p,The equation of mean \=x
[tex]\=x=E(x)[/tex]
Where
[tex]E(x=n*p)[/tex]
[tex]\=x=100*0.021[/tex]
[tex]\=x=2.1[/tex]
Generally the equation for variance \sigma is mathematically given by
[tex]\sigma=\sqrt{nqp}[/tex]
[tex]\sigma=\sqrt{200*0.021*0.979}[/tex]
[tex]\sigma=2.03[/tex]
