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#31
02-05-2018, 11:25 AM
 LOLAND Member SOA Join Date: Sep 2016 Posts: 106

The entire clock face is 360 degrees. The distance between the 5 and 7 is 2/12ths of 360, or 60 degrees. We just need to add in a correction for the passage of the hour hand.

The hour hand has moved 25/60ths of an hour toward 8. 1 hour is 30 degrees, so 25/60ths of an hour is 12.5 degrees.

60+12.5=72.5
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#32
02-05-2018, 12:11 PM
 NormalDan Member CAS Join Date: Dec 2016 Location: NJ Posts: 6,574

How many grapes is the deductible though?
#33
02-05-2018, 12:35 PM
 JMO Carol Marler Non-Actuary Join Date: Sep 2001 Location: Back home again in Indiana Studying for Nothing actuarial. Posts: 37,404

Quote:
 Originally Posted by Dr T Non-Fan At first, there is 96 pounds (96% of 100 pounds) of water and 4 pounds of not-water. After shrinkage, there is an unknown amount of water (92% of X pounds) and 4 pounds of non water, the sum of which is X pounds. So, 0.92X + 4 = X. Solve for X.
Not at all about agricultural products, but about properly setting up the algebra. I did need paper and pencil for it, so I agree with the earlier post that this is not technically a "brain teaser."
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#34
02-05-2018, 12:48 PM
 kingofants Member SOA Join Date: Jan 2015 Posts: 786

So I am doing some probability problems that I found online to prepare for the interview, and I encountered this problem:

Quote:
 28) Assume you sell sandwiches. 70% people choose egg, and the rest choose chicken. What is the probability of selling 2 egg sandwiches to the next 3 customers? A) 0.343 B) 0.063 C) 0.147 D) 0.027 Solution: (C) The probability of selling Egg sandwich is 0.7 & that of a chicken sandwich is 0.3. Now, the probability that next 3 customers would order 2 egg sandwich is 0.7 * 0.7 *0.3 = 0.147. They can order them in any sequence, the probabilities would still be the same.
Does anyone else think the solution is wrong? Also, it is poorly worded, because he does not state that we can assume that each customer buys exactly 1 sandwich.
#35
02-05-2018, 12:48 PM
 JMO Carol Marler Non-Actuary Join Date: Sep 2001 Location: Back home again in Indiana Studying for Nothing actuarial. Posts: 37,404

Quote:
 Originally Posted by Vorian Atreides My initial answers to these problems: Is this percentage based on weight or volume? Is this on a digital or analog clock? surface area of the aggregated object / volume of aggregated object
1. Question becomes indeterminate if its by volume. Maybe you are hoping to be excused from doing the algebra?

2. LOL

3. Yeah, that's how DTNF solved it. The ratio gives a rather odd result when you apply the technique of dimensional analysis.

I looked at this one by mentally cutting the block in half along the 2 inch dimension. That gave me two identical 3 x 4 slabs. Then I counted corners, edges and faces. Actually you could look at just one of the slabs, since they are identical.
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Pluto is no longer a planet and I am no longer an actuary. Please take my opinions as non-actuarial.

My latest favorite quotes, updated Apr 5, 2018.

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 Originally Posted by campbell I agree with JMO.
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 Originally Posted by Westley And def agree w/ JMO.
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 Originally Posted by MG This. And everything else JMO wrote.
And this all purpose permanent quote:
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 Originally Posted by Dr T Non-Fan Yup, it is always someone else's fault.
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 Originally Posted by DoctorNo Depends upon the employer and the situation.
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 Originally Posted by Sredni Vashtar I feel like ERM is 90% buzzwords, and that the underlying agenda is to make sure at least one of your Corporate Officers is not dumb.
#36
02-05-2018, 01:01 PM
 NormalDan Member CAS Join Date: Dec 2016 Location: NJ Posts: 6,574

Quote:
 Originally Posted by kingofants So I am doing some probability problems that I found online to prepare for the interview, and I encountered this problem: Does anyone else think the solution is wrong? Also, it is poorly worded, because he does not state that we can assume that each customer buys exactly 1 sandwich.
Yeah C is wrong, it's .441.

And technically the question should also say something about the next 3 being random customers, etc although that (and your criticism) are loosely assumed in these sorts of questions.
#37
02-05-2018, 01:09 PM
 Westley Member Join Date: Nov 2001 Posts: 27,172

Quote:
 Originally Posted by NormalDan Yeah C is wrong, it's .441. And technically the question should also say something about the next 3 being random customers, etc although that (and your criticism) are loosely assumed in these sorts of questions.
Agree 0.441, it's the 0.147 that they calculated, and there's three possible orderings of that (i.e., the last sentence is wrong).

I think the next 3 being random and ordering one sandwich each is fairly well implied in the question. However, it should ask what is the probability of ordering *exactly* 2 egg sandwiches, or you should increase the answer for the possibility that they order 3 egg sandwiches.
#38
02-05-2018, 01:22 PM
 Dr T Non-Fan Member SOA AAA Join Date: Sep 2001 Location: Just outside of Nowhere Posts: 91,874

Quote:
 Originally Posted by kingofants So I am doing some probability problems that I found online to prepare for the interview, and I encountered this problem: Does anyone else think the solution is wrong? Also, it is poorly worded, because he does not state that we can assume that each customer buys exactly 1 sandwich.
Quote:
 Originally Posted by fixed Solution: (E) None of the above.
.
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#39
02-05-2018, 02:10 PM
 ronaldy27 Member CAS Join Date: Jan 2012 Location: The South Studying for the credential Posts: 2,944

Sounds like a typical quant interview. Be ready to answer some really difficult brain teaser questions.
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#40
02-05-2018, 02:21 PM
 Vorian Atreides Wiki/Note Contributor CAS Join Date: Apr 2005 Location: Hitler's Secret Bunker Studying for ACAS College: Hard Knocks Favorite beer: Sam Adams Cherry Wheat Posts: 62,443

Quote:
 Originally Posted by JMO 1. Question becomes indeterminate if its by volume. Maybe you are hoping to be excused from doing the algebra?
I don't see the need to pursue a solution if it is indeterminate.

Quote:
 Originally Posted by JMO 2. LOL
But I've seen digital clocks that "replicate" the analog, but the hands don't move in the same fashion.

Quote:
 Originally Posted by JMO 3. Yeah, that's how DTNF solved it. The ratio gives a rather odd result when you apply the technique of dimensional analysis. I looked at this one by mentally cutting the block in half along the 2 inch dimension. That gave me two identical 3 x 4 slabs. Then I counted corners, edges and faces. Actually you could look at just one of the slabs, since they are identical.
I should've read the problem a bit closer. The answer should just be the surface area since the question asked is "What is the expected value of the number of blue sides of all the resulting 1x1x1 cubes?" (emphasis added).

The answer I gave would be for the # of sides of a randomly selected 1x1x1 cube.
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