A machine makes errors in a certain operation with probability p. There are two types of errors. The fraction of errors that are
type 1 is α, and type 2 is 1 - α.(a) What is the probability of k errors in n operations?(b) What is the probability of k1 type 1 errors in n operations?(c) What is the probability of k2 type 2 errors in n operations?(d) What is the joint probability of k1 and k2 type 1 and 2 errors, respectively, in n operations?
1 answer:
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Given:
Time spend on every 2 questions = 5 minutes.
To find:
The missing values for the given table.
Solution:
Let x be the number of questions and y be the number of minutes.
We have,
Time spend on every 2 questions = 5 minutes
Time spend on 1 question = minutes
Time spend on x questions = minutes
Now,
For x=0,
For x=1,
For x=2,
For x=3,
For x=4,
Therefore, the required table is
Questions : 0 1 2 3 4
Time (minutes) : 0 2.5 5 7.5 10