A probability distribution on the real line is a mixture of two classes +1 and−1 with density N(1,2) (normal distribution with m
A probability distribution on the real line is a mixture of two classes +1 and−1 with density N(1,2) (normal distribution with mean1 and variance 2) andN(3,1), with prior probabilities (probability of eachclass) 0.4 and 0.6 respectively. What is the Bayes decision rule? Give anestimate for the Bayes risk.
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Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.