Is d=2t portional or non portional?

6. Suppose that a fair coin is tossed 2 times, and the result of each toss (H or T) is recorded.

nekit [7.7K]

Answer:

a) $S= {HH, HT, TH, TT}$

b) $P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25$

$P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5$

$P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25$

And we have the following table:

X | 0 | 1 | 2

P(X) | 0.25 | 0.5 | 0.25

Step-by-step explanation:

Let's define first some notation

H= represent a head for the coin tossed

T= represent tails for the coin tossed

We are going to toss a coin 2 times so then the size of the sample size is $2^2 = 4$

a. What is the sample space for this chance experiment?

The sampling space on this case is given by:

$S= {HH, HT, TH, TT}$

b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.

The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:

$P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25$

$P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5$

$P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25$

And we have the following table:

X | 0 | 1 | 2

P(X) | 0.25 | 0.5 | 0.25

5 0

3 years ago

For f(x) = 2x+3 which represents f(x) when x= 6? A.16 B.20 C.28 D.96

yawa3891 [41]

Answer:

15

Step-by-step explanation:

when x=6 plug it in to the equation and you would get 2(6)+3 which is 12+3 which is 15

7 0

3 years ago

How many ways can you get to the end, only being able to go down or left, and having to avoid the green thing?

kirill [66]

I got 21, I give up.

6 0

2 years ago

Erica bought 3 1/2 yards of fabric if she uses 2/3 of the fabric how much will she have left?

RoseWind [281]

First, convert 3 1/2 into an improper fraction, which is 7/2. Now, you have to make sure both sides have a common denominator. This will be 6. So now the equation is 21/6 - 4/6. Subtract the numerators, which is 17. Keep the denominator, however. Now, simplify. You new answer will be 2 5/6.

8 0

3 years ago

sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years

Bess [88]

Answer:

£11,904

Step-by-step explanation:

Simple interest = PRT/100 where P = initial investment, R = rate and T = time.

So interest on £9600 = 9600*8*3/ 100

= £2304

So the value after 3 years = 9600 + 2304

= £11,904 (answer)

3 0

3 years ago

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