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IFoA_CAA_M0 Exam - Topic 2 Question 70 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam
Question #: 70
Topic #: 2
[All IFoA_CAA_M0 Questions]

The probability density function f(x) for a random variable Xis definedover the interval 0 to 1.

f(x) = 2(1-x).

Calculate the probability that X is greater than 0.5.

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Suggested Answer: D

by Gracia at Sep 13, 2024, 01:48 PM

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Kristeen
3 months ago
I thought it would be higher than that, not sure about this.
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Dahlia
3 months ago
Totally agree, it's definitely 0.25!
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Weldon
3 months ago
Wait, how does that even work?
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Joseph
4 months ago
I think it's 0.25, right?
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Charlene
4 months ago
The integral from 0.5 to 1 of f(x) gives the probability.
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Kizzy
4 months ago
I feel like the answer might be 0.25, but I’m not completely confident. I should double-check my integration steps just to be safe.
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Kathrine
4 months ago
If I recall correctly, the integral of f(x) from 0 to 1 should equal 1, so that might help confirm our calculations for the probability.
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Raul
4 months ago
I think to find the probability that X is greater than 0.5, we need to integrate f(x) from 0.5 to 1, but I’m a bit confused about the limits.
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Maryann
5 months ago
I remember we had a similar question in practice about finding probabilities using a density function, but I’m not sure how to set up the integral for this one.
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Brianne
5 months ago
Wait, is this a cumulative distribution function or a probability density function? I need to make sure I'm using the right approach here.
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Wei
5 months ago
This looks straightforward. I'll just plug in the values and calculate the integral. I'm confident I can get the right answer.
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Maryann
5 months ago
Hmm, I'm a bit unsure about this one. I know we need to use the probability density function, but I'm not sure how to set up the integral correctly.
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Rickie
5 months ago
Okay, I think I can handle this. The probability density function is given, so I just need to integrate it from 0.5 to 1 to find the probability.
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Keneth
9 months ago
Hmm, this problem seems a bit tricky. But hey, at least it's not as bad as the time I tried to integrate a function over a Möbius strip. Now that was a real head-scratcher!
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Royal
10 months ago
Wait, wait, wait... did anyone else just hear a mic drop? Because I think I nailed this one. C is the way to go, my friends. Probability is my jam!
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Lizbeth
8 months ago
C) 0.75
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Charisse
8 months ago
C) 0.75
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Vicky
8 months ago
B) 0.5
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Aileen
8 months ago
A) 0.25
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Pearline
8 months ago
B) 0.5
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Florencia
9 months ago
A) 0.25
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Ezekiel
10 months ago
Ah, a classic probability problem. Let me grab my calculator and work this out... Okay, got it! The correct answer is C. 0.75. Easy peasy lemon squeezy, as they say.
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Patrick
8 months ago
No, it's definitely 0.75. Trust me.
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Joanne
8 months ago
I think it might be 0.5 instead.
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Kristofer
9 months ago
Yes, I'm positive. It's 0.75.
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Grover
9 months ago
Are you sure it's 0.75?
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Jade
10 months ago
Hmm, this seems straightforward. The question is asking for the probability that X is greater than 0.5, and the probability density function is given as f(x) = 2(1-x). Integrating that from 0.5 to 1 should give us the answer. I'm going with C.
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Georgeanna
11 months ago
Okay, let me think this through step-by-step. The probability density function is f(x) = 2(1-x), which is defined over the interval 0 to 1. To find the probability that X is greater than 0.5, I need to integrate the function from 0.5 to 1. That gives me 0.75. Looks like the correct answer is C.
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Bernardo
9 months ago
No problem, it's easy to make mistakes with probability calculations.
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Tamesha
9 months ago
Let me double-check my calculations. Oh, you're right. It is 0.25.
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Yuonne
9 months ago
User 2: That gives us 0.75, so the answer is C.
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Robt
9 months ago
Are you sure about that? I calculated it to be 0.25.
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Annice
9 months ago
User 1: I think we need to integrate the function from 0.5 to 1.
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Lennie
9 months ago
I think the answer is C) 0.75.
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Adell
11 months ago
How did you get 0.75? Can you explain your rationale?
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Dorethea
11 months ago
I disagree, I calculated it to be 0.75.
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Adell
11 months ago
I think the probability that X is greater than 0.5 is 0.25.
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