MENU
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.
Suggested Answer: D
Get Premium IFoA_CAA_M0 Questions
as Interactive Web-Based Practice Test or PDF
Real Exam Format
Detailed Explanations
Instant Access
Get Your Practice Test
37 comments · newest first
KR
Kristeen
10 months ago
I thought it would be higher than that, not sure about this.
DA
Dahlia
11 months ago
Totally agree, it's definitely 0.25!
WE
Weldon
11 months ago
Wait, how does that even work?
JO
Joseph
11 months ago
I think it's 0.25, right?
CH
Charlene
11 months ago
The integral from 0.5 to 1 of f(x) gives the probability.
KI
Kizzy
12 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.
KA
Kathrine
12 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.
RA
Raul
12 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.
MA
Maryann
1 year 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.
BR
Brianne
1 year 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.
WE
Wei
1 year ago
This looks straightforward. I'll just plug in the values and calculate the integral. I'm confident I can get the right answer.
MA
Maryann
1 year 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.
RI
Rickie
1 year 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.
KE
Keneth
1 year 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!
RO
Royal
1 year 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!
LI
Lizbeth
1 year ago
C) 0.75
CH
Charisse
1 year ago
C) 0.75
VI
Vicky
1 year ago
B) 0.5
AI
Aileen
1 year ago
A) 0.25
PE
Pearline
1 year ago
B) 0.5
FL
Florencia
1 year ago
A) 0.25
EZ
Ezekiel
1 year 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.
PA
Patrick
1 year ago
No, it's definitely 0.75. Trust me.
JO
Joanne
1 year ago
I think it might be 0.5 instead.
KR
Kristofer
1 year ago
Yes, I'm positive. It's 0.75.
GR
Grover
1 year ago
Are you sure it's 0.75?
JA
Jade
1 year 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.
GE
Georgeanna
2 years 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.
BE
Bernardo
1 year ago
No problem, it's easy to make mistakes with probability calculations.
TA
Tamesha
1 year ago
Let me double-check my calculations. Oh, you're right. It is 0.25.
YU
Yuonne
1 year ago
User 2: That gives us 0.75, so the answer is C.
RO
Robt
1 year ago
Are you sure about that? I calculated it to be 0.25.
AN
Annice
1 year ago
User 1: I think we need to integrate the function from 0.5 to 1.
LE
Lennie
1 year ago
I think the answer is C) 0.75.
AD
Adell
2 years ago
How did you get 0.75? Can you explain your rationale?
DO
Dorethea
2 years ago
I disagree, I calculated it to be 0.75.
AD
Adell
2 years ago
I think the probability that X is greater than 0.5 is 0.25.