Statistics And Probability Question 492
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:
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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
