Statistics And Probability Question 530
Question: The probability that a bulb produced by a factory will fuse after 150 days if used is 0.50. What is the probability that out of 5 such bulbs none will fuse after 150 days of use?
Options:
A) $ 1-{{(19/20)}^{5}} $
B) $ {{(19/20)}^{5}} $
C) $ {{(3/4)}^{5}} $
D) $ 90,{{(1/4)}^{5}} $
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] Here p=19/20, q=1/20, n=5, r=5. The required probability is $ ^{5}C_5{{( \frac{19}{20} )}^{5}}{{( \frac{1}{20} )}^{0}}={{( \frac{19}{20} )}^{5}} $