I need explanation for this problem: In the year 2005 a certain state randomly s

Question

I need explanation for this problem:

In the year 2005 a certain state randomly selected 1000 registered automobiles and found that 100 of them were in violation of the state emission standards.

The proportion of automobiles in that state that are in violation of the state emission standards = 0.1

A: Find the uncertainty in the estimate?

B: Suppose we randomly selected 10 registered automobiles form the state. Let X count the number of registered automobiles that are in violation of the state emission standards?

C: With respect to part B find the mean number of registered automobiles that are in violation of state emission standards?

D: find the standard deviation of the number of registered automobiles that are in violation of state emission standards?

Ans for A= 0.01

Ans for B= 0.35

Ans for C= 1

Ans for D= 0.95

Explanation / Answer

Ans:

A)Uncertainity in the proportion=sqrt(0.1*(1-0.1)/1000)=0.01

X is binomial distribution n=10,p=0.1

B)P(none)=P(x=0)=(1-0.1)^10=0.35

C)mean=np=10*0.1=1

D)standard deviation=sqrt(np(1-p))=sqrt(10*0.1*0.9)=0.95

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.