A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 6 mg and a standard deviation of 0.1 mg (You may need to use a table. Round your answers to four decimal places.) What is the probability that a randomly selected capsule contains less than 5.8 mg of vitamin E? What is the probability that a randomly selected capsule contains at least 6.4 mg of vitamin E?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
icon
Related questions
Question
A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 6 mg and a standard deviation of 0.1 mg. (You may need to use a
table. Round your answers to four decimal places.)
What is the probability that a randomly selected capsule contains less than 5.8 mg of vitamin E?
What is the probability that a randomly selected capsule contains at least 6.4 mg of vitamin E?
Transcribed Image Text:A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 6 mg and a standard deviation of 0.1 mg. (You may need to use a table. Round your answers to four decimal places.) What is the probability that a randomly selected capsule contains less than 5.8 mg of vitamin E? What is the probability that a randomly selected capsule contains at least 6.4 mg of vitamin E?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill