SOLUTION: 1. Consider the data set: 27, 24, 20, 15, 30, 34, 28, 25. The 25th percentile is a. 20 b. 23 c. 25 d. 27 2. Among 25 articles, nine are defective, six having only minor defe

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Consider the data set: 27, 24, 20, 15, 30, 34, 28, 25. The 25th percentile is a. 20 b. 23 c. 25 d. 27 2. Among 25 articles, nine are defective, six having only minor defe      Log On


   



Question 363862: 1. Consider the data set: 27, 24, 20, 15, 30, 34, 28, 25. The 25th percentile is
a. 20
b. 23
c. 25
d. 27
2. Among 25 articles, nine are defective, six having only minor defects and three having major defects. Detemine the probability that an article selected at random has major defects given that it has defects:
a. 0.15
b. 0.18
c. 1/3
d. ¼
3. I toss a dice and you toss a dice. What is the probability of having same number:
a. 1/6
b. 1/36
c. 1/12
d. 1/3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. Consider the data set: 27, 24, 20, 15, 30, 34, 28, 25. The 25th percentile is
1st: Put them in rank order: 15,20,24,25,27,28,30,34
---
2nd: determine the locator: (25%)*8 = 2
---
3rd: 25% of the data gets you to 20;
4th: 25% = 20
===========================
a. 20
b. 23
c. 25
d. 27
=============================

2. Among 25 articles, nine are defective, six having only minor defects and three having major defects. Detemine the probability that an article selected at random has major defects given that it has defects:
P(D|d) = P(D and d)/P(d) = (3/25)/(9/25) = 3/9 = 1/3
a. 0.15
b. 0.18
c. 1/3
d. ¼
----------------------------------
3. I toss a dice and you toss a dice. What is the probability of having same number:
----
You toss yours and get some number.
P(I get the same number) = 1/6
----
OR
There are 6 ways the dice will match out of a total of 36 pairs.
P(both have the same number) = 6/36 = 1/6
a. 1/6
b. 1/36
c. 1/12
d. 1/3
================
Cheers,
Stan H.