Answer to Question #178601 in Statistics and Probability for Nicolas Flavio

Question #178601

Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with

paint blemishes. Hint: There are eight (8) elements in the sample space.


1
Expert's answer
2021-04-19T17:08:14-0400

The overseas shipment has 5 automobiles out of which 2 have slight paint blemishes.

Automobiles can be: "[N_1,N_2,N_3,B_1,B_2]"

where "N_i's" denotes the non-blemished and "B_i's" denotes the blemished ones.

Let X be the number of automobiles purchased with paint blemishes.

Element of sample space S for X "=0,1,2"

Case 1: For "X=0"

Sample space will be "(N_1,N_2,N_3)"

Case 2: For "X=1"

Sample space will be:

"[(N_1,N_2,B_1),(N_1,N_2,B_2),(N_1,N_3,B_1),\\\\ (N_1,N_3,B_2),(N_3,N_2,B_1),(N_3,N_2,B_2)]"

Case 3: For "X=2"

Sample space will be:

"[(N_1,B_1,B_2),(N_2,B_1,B_2),(N_3,B_1,B_2)]"

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS