Janet has 3 sweatshirts, 5 t-shirts, and 2 pairs of pants that can be worn together. If each outfit has a sweatshirt, t-shirt, a
1 answer:
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Answer:
This data is not a probability distribution
The reason sum of the probabilities is not equal
∑ P(X=x) ≠ 1
Step-by-step explanation:
<u>Explanation</u>:-
Given data
x 0 1 2 3
p(x) 0.091 0.334 0.408 0.166
<u>Discrete distribution :-</u>
Probability distribution of a random variable is the set of its possible values together with their respective probabilities. Suppose X is a discrete random variable with possible outcomes (values) x₁ , x₂ , x₃ ,......... The probability of each possible outcome
If the numbers satisfy the two conditions
i)
ii) ∑P(X=x) =1
Given data condition(i) satisfied
but the condition (ii) is not satisfied
0.091+0.334+ 0.408+ 0.166 = 0.999
sum off all probabilities is not equal to one
<u>Conclusion</u>:-
The given data is not probability distribution