2. A coin is tossed 3 times and then a die is rolled. Let X...

2. A coin is tossed 3 times and then a die is rolled. Let X be the number of heads times the number of spots on the die. b) Determine X(HHT6) 4. A red die is rolled and then a green die. Let X = 2(Spots on Red) + (Spots on Green). a) Determine X(3,4) b) Determine X(4,3) 18. Given the table of the pmf for a random variable, determine F(x). x 1 2 3 4 5 6 7 8 f(x) .3 .05 .06 .13 .08 .02 .28 .08 a) Determine F(3) b) Determine F(6) 20. Determine the value(s) of c that makes the table below a CDF. x 1 2 3 4 5 6 7 8 F(x) .2 .25 .45 .35 c .87 .95 1.00 Enter any value that works into Top Hat. 22. The CDF of a random variable X is given the function F(x) = cx^2 / (3x^2 + x) on the support of X , where the support of X is x = 1,2,3,... a) Determine P(X = 1) b) Determine P(X = 2).

Transcript

00:01 Hi, i'm david and i'm here to have you answered your question.

00:03 Now let me bring up your question here.

00:05 Here we have several questions, so let me answer it one by one for you.

00:10 Now for the first question, that will be the question two.

00:15 Here we will have the corn is top three times and then the die is wrong.

00:21 And the x is the number of the head times the number of the spot on the die.

00:26 So we have one to determine on this value of the x of the x of the x of the x.

00:31 Event arch tail and then the number six so therefore we will have this one equal to we have x will be the number of the heads we have two hats so be two times when the number of the six and then we're equal to the twelve and that will be the answer for the number two then for the number four we have a red dye is wrong and then a green dye a red dye is wrong and then a green dye is wrong and then want to find the x it will equal 2 the x will be defined as the 2 spot on the red plus the spot on the green so we will have to determine the volume the x 3 4 this one we will get equal to the 2 10 when the spot on the red it will be the 3 and then plus the spot on the green will be the 4 then we get equal to the 6 plus 4 equal to the 10 for this one we have the two times the spot on the red equal to the four plus the spot on the green will be the three equal to the a plus three equal to 11.

01:40 And for the question next one will be the question 18.

01:44 For the question 18 we're given the table so let me copy the table and i put the table sorry about that.

01:59 So let me copy the table and put the table to the next one here.

02:19 And from the table here, the question asked me to find the f from the tree.

02:23 That will be the f capital of the tree.

02:27 Now to find the f computer on the tree, it will be, we end up from the beginning all the way up to the tree.

02:34 So when the 0 .3 plus 0 .05, plus 0 .6, then we get equal.

02:40 2, 0 .03 plus 0 .05 plus 0 .066 equal to the 0141.

02:46 And then when to find out from the 6.

02:50 So we have to add up to the 6 here.

02:53 So we will think from the previous 1 .0141.

02:57 We keep adding 0 .113 plus 018, 0122...

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