GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
237 views

 

Q) Let $x$ be normal variable with mean $8$ and standard deviation $4$ then $p(X\leq5)$ is 

A). Greater than zero but less than $0.5$

B). Greater than $0.75$

C). Greater than $0.5$ but less than $1$

D). Equal to $0.5$

asked in Probability by Active (1.9k points)   | 237 views
A is correct.

2 Answers

+3 votes

I think the right option is A.

This is the normal distribution curve for this mean and standard deviation μ=8 and σ=4

Since the area under the curve from μ-3σ(-4 here) to μ(8) is 0.5 hence P(x≤5) will be even smaller but will not be zero. Hence option A is correct.

answered by (453 points)  
0 votes
P(x<=5)= (5-8)/4= -3/4= -0.75

probability cant be negative= B is ans
answered by Veteran (44.8k points)  


Top Users Mar 2017
  1. rude

    5118 Points

  2. sh!va

    3054 Points

  3. Rahul Jain25

    2920 Points

  4. Kapil

    2730 Points

  5. Debashish Deka

    2602 Points

  6. 2018

    1574 Points

  7. Vignesh Sekar

    1422 Points

  8. Akriti sood

    1382 Points

  9. Bikram

    1350 Points

  10. Sanjay Sharma

    1128 Points

Monthly Topper: Rs. 500 gift card

21,531 questions
26,861 answers
61,190 comments
23,206 users