A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 142.7-cm and a standard deviation of 2.2-cm.

Find the probability that the length of a randomly selected steel rod is between 137.6-cm and 143.6-cm. 
P(137.6-cm < X < 143.6-cm) = 

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

in Statistics Answers by (120 points)

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Z score for 143.6 is (143.6-142.7)/2.2=0.41 approx.

Z score for 137.6 is -2.32 approx.

The probabilities are 0.6591 and 0.0102 respectively. So the difference is 0.6489.

The probability is 0.6489.
by Top Rated User (599k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,950 questions
86,346 answers
2,238 comments
71,625 users