Time remaining:
2 Part Question Part 2 Probability

Statistics
Tutor: None Selected Time limit: 0 Hours

A man has designed a machine to produce a compound and  has calibrated it so the compound always has an atomic weight of 20.4. Unbeknownst to him, the machine has a defect and doesn't always produce a compound with that weight. Assume that the distribution of the weights of the compounds produced by the machine is normal with a mean of 21.37 and standard deviation of 0.4

Suppose 15 compounds are selected independently. What is the P that at most 2 of the compounds have a weight less than 20.857?

Apr 25th, 2015

Z = 20.857 - 21.37 / 0.4 = -1.28

P(Z < -1.28) = 0.1

15C2(0.1)^2(0.9)^13 = 0.2669

15C1(0.1)^1(0.9)^14 = 0.3432

15C0(0.1)^0(0.9)^15 = 0.2059

0.2669 + 0.3432 + 0.2059 = 0.816

Apr 25th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 25th, 2015
...
Apr 25th, 2015
Feb 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer