Week 4: Homework com/courses/33068/quizzes/96261/take Question 2 2 pts Monthly w

Question

Week 4: Homework com/courses/33068/quizzes/96261/take Question 2 2 pts Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. Find the probability that a randomly selected bil will have an amount greater than $165, which the city believes might indicate that someone is wasting water. Would a bill that size be considered unusual? Probability is 0.04, which is unusual as it is less than 5% Probability is 0.04, which is usual as it is less than 5% O Probability is 0.96, which is usual as it is greater than 5% Probability is 0.96, which is unusual as it is greater than 5% D Question 3 2 pts In a health club, research shows that on average, patrons spend an average of 46.2 minutes on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill. -0.10

Explanation / Answer

HERE PROBABLITY P(X<K) IS GIVEN BY

pnorm(k,mean,standard deviation ) function in R so

Q.2 gives

1-pnorm(165,108.43,32.09)
0.03896252

OPTION A 0.04 AND IT IS UNUSUAL AS IT IS LESS THAN 0.05

Q3. gives

pnorm(40,46.2,4.8)-pnorm(30,46.2,4.8)
0.09786722

OPTION D 0.10

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