Evaluate 105*95 using identities
1 answer:
Answer:
9975
Step-by-step explanation:
See attachment.
( 105 ) * ( 95 )
(100+5) * (100-5)
100*100 * (1 + 5/100) * ( 1 - 5/100)
10000 * ( 1 - 5/100 + 5/100 - {25/10000} )
- 5/100 + 5/100, they cancel each other out to 0
10000 * ( 1 + 0 - {25/10000} )
10000 * ( 1 - {25/10000} )
10000 - {25*10000/10000}
10000 - {25}
9975
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Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures = per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_
Now, the probability that the instrument does not fail in an 8-hour shift :-
Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353