Probability of Independent standard normal random variable with sample mean

[Need Help!]

Anyone can answer this?

Let x1, x2, x3, x4, x5 be independent standard normal random variable and x̅ the sample mean x= (x1 + x2 + x3 + x4 + x5)/5. Then Px̅ ≤ is equal to:

a) 0

b) 0.1

c) 0.5

d. None of the above

 

[BigBeachBanana]

Anyone can answer this?

Let x1, x2, x3, x4, x5 be independent standard normal random variable and x̅ the sample mean x= (x1 + x2 + x3 + x4 + x5)/5. Then Px̅ ≤ is equal to:

a) 0

b) 0.1

c) 0.5

d. None of the above

Your question is incomplete. Please share your works/thoughts/attempts.

 

[Need Help!]

I want to find if Px̅ ≤ 0? 0.1? 0.5? or none of it.
I first try to rewrite the given information mean which is X=∑5i=1Xi/5 and Xi(i=1,2,3,4,5,6)∼N(0,1) then got stuck what to do next.

 

[BigBeachBanana]

I want to find if Px̅ ≤ 0? 0.1? 0.5? or none of it.
I first try to rewrite the given information mean which is X=∑5i=1Xi/5 and Xi(i=1,2,3,4,5,6)∼N(0,1) then got stuck what to do next.

That doesn't make sense. The question should be something like this:
[math]\Pr(\bar{X}\le c)=?[/math]The answer choices are 0, 0.1, 0.5, or none of the above.
You're missing the c in the question.

 

[Need Help!]

Yes Sir you are correct. We use different notations sorry for that

 

[BigBeachBanana]

Yes Sir you are correct. We use different notations sorry for that

That doesn't resolve the issue that your question is incomplete and cannot be answered. Perhaps post a picture.