Madonna
and child, painted by Sandro
Botticelli
3
keywords in this discussion are random variables, the sample space
and probability. Random variable is a function that goes from a
sample space to a measurable space.
Sample
space is part of a probability space. A sample space is a set of all
the possible "outcomes" that may arise in an experiment.
Now,
we make example to understand the concept. Let’s say that we have a
coin. The coin has Head=H and Tail=T.
Then,
we flipped the coin 4 times. The possible outcomes are: 2 and trials
are 4.
We
determine Sample Space = S = 2^4 = 16 = { HHHH, HTHH, THHH, HTHT,
HHHT, HTTH, TTHH, THTH, HHTT, HHTH, TTTH, THHT, HTTT, TTTT, TTHT,
THTT}
_{}^{}
Virgin,
child and angels, painted by Sandro
Botticelli
Let’s
say we just interest on the number of heads in four flips:
x
= number of heads in four flips of a coin.
The
random variable x could equal 0, 1, 2, 3, or 4.
We
can determine the probability of x values by computing:
x=
0 = p(0)= probability no head = 1/16 = 0.0625
x
= 1 = p(1)= probability 1 head = 4/16 = 0.25
x
= 2 = p (2)= probability 2 heads = 6/16 = 0.375
x
= 3 = p (3)= probability 3 heads = 4/16 = 0.25
x
= 4 = p (4)= probability 4 heads = 1/16= 0.0625
By
following this concept, we can determine the probability of tails
too.
you know I never understood this stuff when I was in school and now it is even farther from my understanding
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Madonna and child, painted by Sandro Botticelli
I enjoy the classic artwork.
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This is absolutely mind boggling! Thanks for sharing such interesting information :)
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3 keywords in this discussion are random variables, the sample space and probability. Random variable is a function that goes from a sample space to a measurable space.
Duh saya jadi pusing mas hehehe. Matematika dan probabilitas sudah lama saya tinggalkan :)
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Sample space is part of a probability space. A sample space is a set of all the possible "outcomes" that may arise in an experiment.
You've got to hand to Botticelli.
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Now, we make example to understand the concept. Let’s say that we have a coin. The coin has Head=H and Tail=T.
I think I will never understand that tricks :)
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Then, we flipped the coin 4 times. The possible outcomes are: 2 and trials are 4.
Thanks for sharing. :)
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We determine Sample Space = S = 2^4 = 16 = { HHHH, HTHH, THHH, HTHT, HHHT, HTTH, TTHH, THTH, HHTT, HHTH, TTTH, THHT, HTTT, TTTT, TTHT, THTT}
It's a great number trick :) I like so much this all paintings :)
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Virgin, child and angels, painted by Sandro Botticelli
I am surprised that I passed my Statistics class.
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Let’s say we just interest on the number of heads in four flips:
x = number of heads in four flips of a coin.
The random variable x could equal 0, 1, 2, 3, or 4.
Interesting post.
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We can determine the probability of x values by computing:
x= 0 = p(0)= probability no head = 1/16 = 0.0625
x = 1 = p(1)= probability 1 head = 4/16 = 0.25
x = 2 = p (2)= probability 2 heads = 6/16 = 0.375
x = 3 = p (3)= probability 3 heads = 4/16 = 0.25
x = 4 = p (4)= probability 4 heads = 1/16= 0.0625
Another very good statistics post! :)
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Thank you for this post :)
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By following this concept, we can determine the probability of tails too.
thanks for sharing!
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Finally, the sum of all the probabilities is one (1). We can prove it by adding probability of x values that is : 0.0625 + 0.25 + 0.375 + 0.25+ 0.0625 = 1
This rings a bell... I totally studied this in school, way back.
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Madonna and child, painted by Sandro Botticelli
I don't understand the maths, but the pictures are beautiful!
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Answer for: MATH 1280 Introduction to Statistics – Discussion Unit 4 – Part 1
Thanks for sharing. I did study this in school, though can't remember much now!
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3 keywords in this discussion are random variables, the sample space and probability. Random variable is a function that goes from a sample space to a measurable space.
Oh no, I am not a big fun of the math.
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Sample space is part of a probability space. A sample space is a set of all the possible "outcomes" that may arise in an experiment.