50 of the above components sent off site to be painted on their return 4 of the components are found to be damaged. If eight components are drawn at random from the contents of the package determine the probabilities that in this sample (a) one and (b) fewer than three are damaged.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

50 of the above components sent off site to be painted on their return 4 of the components are found to be damaged. If eight components are drawn at random from the contents of the package determine the probabilities that in this sample (a) one and (b) fewer than three are damaged.

Expert Solution
Step 1: Finding the probability that one component is damaged

We know that probability of an event is PE=Number of favourable outcomeTotal number of outcme 

Total number of components 50

Out of 50, 4 are damaged.

Therefore probability of drawing eight component in which 1 is damaged is 

=C7C1446C8500.399

Hence the probability of choosing 1 defected components is 0.399

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,