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A discrete random variable x follows uniform distribution and takes the values 6, 9, 10, 11, 13The probability of P( x = 12) is
- a)1/5
- b)3/5
- c)4/5
- d)0
Correct answer is option 'D'. Can you explain this answer?
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A discrete random variable x follows uniform distribution and takes th...
Solution:
Given, x follows uniform distribution and takes values 6, 9, 10, 11, 13.
So, the probability of each value is same i.e. P(x = 6) = P(x = 9) = P(x = 10) = P(x = 11) = P(x = 13) = 1/5.
To find the probability of P(x = 12), we can use the formula of uniform distribution which is:
P(x = a) = 1/n, where a is the value of the random variable and n is the total number of values.
Here, n = 5 and a = 12 (which is not given in the values of x).
So, P(x = 12) = 1/5 * 0 = 0.
Hence, the correct answer is option D, which is 0.
Given, x follows uniform distribution and takes values 6, 9, 10, 11, 13.
So, the probability of each value is same i.e. P(x = 6) = P(x = 9) = P(x = 10) = P(x = 11) = P(x = 13) = 1/5.
To find the probability of P(x = 12), we can use the formula of uniform distribution which is:
P(x = a) = 1/n, where a is the value of the random variable and n is the total number of values.
Here, n = 5 and a = 12 (which is not given in the values of x).
So, P(x = 12) = 1/5 * 0 = 0.
Hence, the correct answer is option D, which is 0.
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A discrete random variable x follows uniform distribution and takes the values 6, 9, 10, 11, 13The probability of P( x = 12) isa)1/5b)3/5c)4/5d)0Correct answer is option 'D'. Can you explain this answer?
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