A company produces electronic components, and the quality control team has observed that 5% of the components manufactured are defective. The company packages these components in boxes of 100. (a) What is the probability that a randomly selected box contains exactly 4 defective components? Round your answer to four decimal places. (b) What is the probability that a randomly selected box contains less than 4 defective components? Round your answer to four decimal places. (c) What is the probability that a randomly selected box contains 90 or more non-defective components? Round your answer to four decimal places. (d) What is the mean number of non-defective components?
A company produces electronic components, and the quality control team has observed that 5% of the components manufactured are defective. The company packages these components in boxes of 100. (a) What is the probability that a randomly selected box contains exactly 4 defective components? Round your answer to four decimal places. (b) What is the probability that a randomly selected box contains less than 4 defective components? Round your answer to four decimal places. (c) What is the probability that a randomly selected box contains 90 or more non-defective components? Round your answer to four decimal places. (d) What is the mean number of non-defective components?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Determine the conditions for the normal approximation to the binomial distribution.
VIEWStep 2: Obtain the probability that a randomly selected box contains exactly 4 defective components.
VIEWStep 3: Obtain the probability that a randomly selected box contains less than 4 defective components.
VIEWStep 4: Obtain the probability that a randomly selected box contains 90 or more non-defective items.
VIEWStep 5: Determine the value of the mean number of non defective components.
VIEWSolution
VIEWStep by step
Solved in 6 steps with 10 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,