Question

Pair-a-dice Suppose you roll a pair of fair, six-sided dice. Let $T=$ the sum of the spots showing on the up-faces. (a) Find the probability distribution of $T$ (b) Make a histogram of the probability distribution. Describe what you see. (c) Find $P(T \geq 5)$ and interpret the result.

          Pair-a-dice Suppose you roll a pair of fair, six-sided
dice. Let $T=$ the sum of the spots showing on the
up-faces.
(a) Find the probability distribution of $T$
(b) Make a histogram of the probability distribution.
Describe what you see.
(c) Find $P(T \geq 5)$ and interpret the result.
        
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Added by Gary C.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Pair-a-dice Suppose you roll a pair of fair, six-sided dice. Let $T=$ the sum of the spots showing on the up-faces. (a) Find the probability distribution of $T$ (b) Make a histogram of the probability distribution. Describe what you see. (c) Find $P(T \geq 5)$ and interpret the result.
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Transcript

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00:01 Okay, if i throw two dice, there are a total of 36 possible outcomes you can get ranging from 2 up to, well from 1 1 up to 6 .6.
00:14 So if i add up to some of the spots, the lowest score you can get is 2.
00:20 And we can get 3, 4, 5, 6, 7.
00:24 And the highest score you can get is of course 12 with 6 plus 6.
00:29 Now, getting a two, you have been one chance out of 36 to get a two, a one and a one.
00:38 A three, though, two chances to get that.
00:41 It could be one, two, or two, one.
00:44 For a four, there are three chances to get it.
00:47 One three, three, one, two, two.
00:49 For a five, four chances from 36, i .e.
00:55 One, four, one, three, two, three.
00:57 And here's five chances.
01:00 And seven is the most common result because there are six ways to get seven.
01:06 One -six -one, two, five, two, four, three, three, four...
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