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A discrete random variable X followers uniform distribution and text the value 6 8 10 12 18 the probability of p of X is less than 12 is?
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A discrete random variable X followers uniform distribution and text t...
Understanding the Uniform Distribution
In a uniform distribution, all outcomes are equally likely. For a discrete random variable \( X \) that takes values \( 6, 8, 10, 12, \) and \( 18 \), we can calculate the probability of \( P(X < 12)="" />

Values of X
- The possible values of \( X \) are:
- 6
- 8
- 10
- 12
- 18

Calculating P(X < />
To find \( P(X < 12)="" \),="" we="" consider="" the="" values="" of="" \(="" x="" \)="" that="" are="" less="" than="" />
- The values are:
- 6
- 8
- 10

Counting Favorable Outcomes
- There are 3 values (6, 8, and 10) that satisfy \( X < 12="" />

Total Possible Outcomes
- The total number of possible outcomes is 5 (6, 8, 10, 12, 18).

Calculating the Probability
The probability \( P(X < 12)="" \)="" is="" calculated="" as="" />
\[
P(X < 12)="\frac{\text{Number" of="" favorable="" outcomes}}{\text{total="" possible="" outcomes}}="" />
\]

Final Result
Thus, the probability that \( X \) is less than 12 is:
\[
P(X < 12)="" />
\]
This means there is a 60% chance that the random variable \( X \) will take a value less than 12.
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A discrete random variable X followers uniform distribution and text the value 6 8 10 12 18 the probability of p of X is less than 12 is?
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