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
s344n2d4d5 [400]
3 years ago
8

An ant is moving on a numbered, horizontal line every second. The number ranges from −[infinity] to [infinity] . It moves to the

left integer with a probability of 1/4 and to the right integer with a probability of 3/4. Suppose initially it starts at 0, so what is the probability that after 3 seconds it will be at 1?
Mathematics
1 answer:
daser333 [38]3 years ago
7 0

Answer:

9/32

Step-by-step explanation:

given that an ant is moving on a numbered, horizontal line every second

Probability for moving left = 1/4

and prob for moving right =3/4

As this totals 1, there is no chance that ant will remain in the same posiiton after 1 second.

Either it has to move left or right.

Initial position is 0.

After 3 seconds it is in position 1.

The chances are I second move left, next second, move right and come to 0 and third second move to 1.  

Or

I second move right, then left to 0, and third again to right to 1.

There are no other alternatives

Probability for this = \frac{1}{4} \frac{3}{4} \frac{3}{4} +\frac{3}{4} \frac{1}{4} \frac{3}{4} \\=\frac{9}{32}

You might be interested in
When two lines intersect to form a 90 degree angle, these lines are called ________ lines?
zalisa [80]
When two lines intersect to form a 90 degree angle, these lines are called perpendicular lines.
5 0
4 years ago
Read 2 more answers
Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 3838 using the method presented in
horrorfan [7]

Question:

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ ​(round to the nearest integer as​ needed.)

Answer:

33 percentile

Step-by-step explanation:

Given the ages:

18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.

We are told to find the percentile corresponding to age 38.

To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.

From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:

(Ages less than 38/ total number of ages) * 100

= \frac{12}{36} * 100 = 33.333

33.333 ≈ 33

The percentile corresponding to age 38 = 33 percentile

5 0
3 years ago
Given △XPS≅△DNF, find the values of x and y.
White raven [17]

Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

4y = 60

Divide both sides by 4

y = 60/4

y = 15

Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

17x = 51

Divide both sides by 17

x = 51/17

x = 3

4 0
3 years ago
Please help!! i need this asap
kompoz [17]

I would help but I cannot read it.

3 0
3 years ago
Help please!<br>If you know geometry please help!<br>​
tamaranim1 [39]
50+50=100

180-100=80

X=80
4 0
3 years ago
Other questions:
  • Tina is finding the quotient of (15x^2+12x^2-9x) / 3x=-5x+4-3/x. Is she correct? If not, what changes should be made?
    8·1 answer
  • B. Does the order in which you add two<br>integers with the same sign affect the<br>sum? Explain.​
    14·1 answer
  • Which of the following statements are true? Select all that apply.
    5·2 answers
  • What is 2/3(n+6)=10?<br> What is n?<br> 2/3 is a fraction as two thirds
    11·1 answer
  • !!!!! HELP PLEASEEE!!!!
    5·1 answer
  • Jerry is saving his money. He started with $15.00. If he adds $10.00 to his savings
    7·1 answer
  • the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang
    10·2 answers
  • If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.
    6·1 answer
  • What is the line of reflection for the trapezoids?
    15·2 answers
  • 15x + 50y = _____ (3x + 10y)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!