1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mrs_skeptik [129]
3 years ago
14

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

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

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

You might be interested in
Albert Einstein primarily immigrated to the United States because he
Mazyrski [523]

Answer: <em>Einstein primarily emigrated to the United States because he had a Jewish background, and Adolf Hitler, who became Germany's chancellor in 1932, was about to adopt Anti-Semitic policie</em>s.

<em>Hope this helps!!</em>

<em>Sorry if it's incorrect!!</em>

<em>Have a nice day!!</em>

7 0
3 years ago
Read 2 more answers
In ΔGHI, g = 790 inches, h = 200 inches and i=820 inches. Find the measure of ∠I to the nearest degree
NeX [460]

Answer:

92

Step-by-step explanation:

3 0
2 years ago
A dresser in the shape of a rectangular prism measures 2 feet by 2 feet by 6 feet. What is the surface area of the dresser?
Zolol [24]
56ft². <span>Surface Area = 2×(2×2 + 2×6 + 2×6)</span>
4 0
3 years ago
Read 2 more answers
Line segments JK and JL in the xy-coordinate plan both have a common endpoint J(-4,11) and midpoints at M1 (2,16) and M2 (-3,5),
OleMash [197]
The first part of the question is not needed 
we only need to know M1 and M2
(y2-y1)^2+(x2-x1)^2=(your answer)^2
(5-16)^2+(-3-2)^2=(your answer)^2
(-11)^2+(-5)^2=(your answer)^2
121+25=(your answer)^2
146=(your answer)^2
√146=12.0830459735945721
nearest tenth=12.1
6 0
3 years ago
1+1 = what is it the number<br>​
anzhelika [568]
The answer is 2 if this is right can i please have brainlyest
4 0
2 years ago
Read 2 more answers
Other questions:
  • Write as a product of two polynomials <br> a) 3a(2x–7)+5b(7–2x)<br> b) (x–y)^2–a(y–x)
    5·1 answer
  • A 10-sided fair die, a 20-sided fair die, and a 12-sided fair dice are rolled. What is the probability of all three happening: S
    10·1 answer
  • Total of 49 1/4 + 3 3/8?
    11·1 answer
  • What is the product of 5−2i and 3−4i?<br> Enter your answer, in standard form, in the box
    13·1 answer
  • Can somebody help with this??
    9·2 answers
  • For what values of m does the equation mx = 5 have a single solution? can m have a value for which the equation does not have so
    8·1 answer
  • Which graph could represent a constant blalance in a bank account?
    12·2 answers
  • Least to greatest djjzhxjxhxjxjx
    14·1 answer
  • Helppp plssssss math
    8·2 answers
  • La integral indefinida de la función h(x)=2x+5x4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!