IFoA Exam IFoA_CAA_M0 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.

A0.25

B0.5

C0.75

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Suggested Answer: D

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

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Ezekiel

6 days 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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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

15 days 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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Adell

16 days ago

How did you get 0.75? Can you explain your rationale?

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Dorethea

19 days ago

I disagree, I calculated it to be 0.75.

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Adell

20 days ago

I think the probability that X is greater than 0.5 is 0.25.

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IFoA Exam IFoA_CAA_M0 Topic 2 Question 70 Discussion

Contribute your Thoughts:

Ezekiel

Jade

Georgeanna

Adell

Dorethea

Adell