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
soldi70 [24.7K]
2 years ago
11

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $

1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
Mathematics
1 answer:
nikitadnepr [17]2 years ago
4 0

Answer:

The expected number of times is 4.

Step-by-step explanation:

Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is

\frac{1}{4}

Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:

E(X) = 1/p where p is the probability of success.

Therefore, the expected number of times will be

E(X) = 1/(1/p) = 1/(1/4) = 4.

Hence, the expected number of times is 4.

You might be interested in
What angle relationship best describes angles AFC and DFB?<br> WILL GIVE BRAINLIEST
Ivan

Answer:

vertical angles

Step-by-step explanation:

they are vertical angles because they are vertically opposite each other and they are equal

4 0
3 years ago
Read 2 more answers
The graph of y=x^3 is transformed as shown in the graph below. With. Equation represents the transformed function
taurus [48]

Answer: y' = (-x)^3 - 4

Step-by-step explanation:

The graph y = f(x) = x^3 passes trough the point (0,0)

because when x = 0

f(0) = y = 0^3 = 0

in the graph of the image, we can see that the graph intersects the y-axis in the point (0, -4)

This means that we have a vertical displacement of 4 units downwards.

When we have a graph y = f(x), a vertical translation of A units can be written as

y' = f(x) + A

If A is positive, the displacement is upwards, if A is negative, the displacement is downwards.

So if the displacement is of 4 units down, A = -4

We also have that when x is negative, the value of y is positive.

But in our original function, we have that for x = -1, y  = (-1)^3 = -1  

so in our original function, when x is negative also does y.

Then we also did a reflection around the y-axis, this means that we now evaluate the function in -x instead of x.

So the equation of the graph is:

y' = (-x)^3 - 4

8 0
3 years ago
a package of markers includes 3 black markers and 9 colored markers. What percent of the markers in the package are colored mark
enyata [817]

0.75

just divide 9 by 12

3 0
3 years ago
Read 2 more answers
Joe asked the children in his class which flavours of ice-cream they like.
Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

5 0
2 years ago
2/3 – 2/6<br> write answer as a fraction
lisabon 2012 [21]

Answer:

It's 1/3

Step-by-step explanation:

2/6 is equivalent to 1/3, so you can rewrite the question as 2/3 - 1/3.

5 0
3 years ago
Read 2 more answers
Other questions:
  • ABCD are congruent to EFGH, AD=45in, EH=60in, BC=15in, What is FG
    14·1 answer
  • The following examples illustrate the inverse property of addition. Study the examples, then choose the statement that best desc
    5·1 answer
  • 5x2-2y when x=2 y=3 what is the best answer
    14·2 answers
  • Please I need help to do this
    13·2 answers
  • If a car travels at 40km/hr for 4 hours, how much distance has it covered?
    8·2 answers
  • Is the expression 32/-8 undefined? If not find the quotient.
    8·1 answer
  • Pencils come in packages of 10 . Erasers come in package of 12 . Phillip wants to purchase the smallest number of pencils and er
    6·1 answer
  • 15 POINTS! NEED ANSWER RIGHT AWAY!!!
    9·1 answer
  • Will give brainliest no files.
    7·1 answer
  • How do I make a hard decision?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!