Probability Question 387
Question: The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. What is the probability that out of 5 such bulbs none will fuse after 150 days of use
Options:
A) $ 1-{{( \frac{19}{20} )}^{5}} $
B) $ {{( \frac{19}{20} )}^{5}} $
C) $ {{( \frac{3}{4} )}^{5}} $
D) $ 90{{( \frac{1}{4} )}^{5}} $
Show Answer
Answer:
Correct Answer: B
Solution:
Here $ p=\frac{19}{20},q=\frac{1}{20},n=5,r=5 $
The required probability $ ={}^{5}C_5{{( \frac{19}{20} )}^{5}}.{{( \frac{1}{20} )}^{0}}={{( \frac{19}{20} )}^{5}}. $
BETA
