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A discrete random variable x follows uniform distribution and takes the values 5, 7, 12, 15, 18
Q. The probability of P( x > 10) is
- a)3/5
- b)2/5
- c)4/5
- d)none
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A discrete random variable x follows uniform distribution and takes th...
Given information:
- A discrete random variable x follows uniform distribution
- x can take the values 5, 7, 12, 15, 18
- We need to find the probability of P(x < />
Solution:
1. Probability distribution function of uniform distribution:
- For a uniform distribution, the probability of each outcome is equal.
- Let N be the total number of outcomes and p(x) be the probability of x.
- Then, p(x) = 1/N for all x.
2. Total number of outcomes:
- From the given information, we know that x can take five different values: 5, 7, 12, 15, 18.
- Therefore, N = 5.
3. Probability of P(x < />
- We need to find the probability that x is less than 10.
- The values of x that satisfy this condition are 5 and 7.
- Therefore, P(x < 10)="P(x=5)" +="" p(x="" />
- Using the probability distribution function of uniform distribution, we get:
P(x < 10)="1/5" +="" 1/5="" />
4. Checking the options:
- The correct answer is option 'A' which is 3/5.
- This is not the same as our calculated probability of 2/5.
- Therefore, option 'A' is not the correct answer.
5. Conclusion:
- We have calculated the probability of P(x < 10)="" to="" be="" />
- This means that there is a 2/5 chance that the value of x will be less than 10.
- The correct answer to the given question is option 'D' which is 'none'.
- A discrete random variable x follows uniform distribution
- x can take the values 5, 7, 12, 15, 18
- We need to find the probability of P(x < />
Solution:
1. Probability distribution function of uniform distribution:
- For a uniform distribution, the probability of each outcome is equal.
- Let N be the total number of outcomes and p(x) be the probability of x.
- Then, p(x) = 1/N for all x.
2. Total number of outcomes:
- From the given information, we know that x can take five different values: 5, 7, 12, 15, 18.
- Therefore, N = 5.
3. Probability of P(x < />
- We need to find the probability that x is less than 10.
- The values of x that satisfy this condition are 5 and 7.
- Therefore, P(x < 10)="P(x=5)" +="" p(x="" />
- Using the probability distribution function of uniform distribution, we get:
P(x < 10)="1/5" +="" 1/5="" />
4. Checking the options:
- The correct answer is option 'A' which is 3/5.
- This is not the same as our calculated probability of 2/5.
- Therefore, option 'A' is not the correct answer.
5. Conclusion:
- We have calculated the probability of P(x < 10)="" to="" be="" />
- This means that there is a 2/5 chance that the value of x will be less than 10.
- The correct answer to the given question is option 'D' which is 'none'.
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Community Answer
A discrete random variable x follows uniform distribution and takes th...
Favourable Outcomes = 12,15,18 (x > 10)
Probability of P = Favourable Outcomes/Total Outcomes
= 3/5
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A discrete random variable x follows uniform distribution and takes the values 5, 7, 12, 15, 18Q.The probability of P( x 10) isa)3/5b)2/5c)4/5d)noneCorrect answer is option 'A'. Can you explain this answer?
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