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
Juli2301 [7.4K]
3 years ago
7

While staying in a 15-story hotel, Polya plays the following game. She enters an elevator on the 6th floor. She flips a fair coi

n five times to determine her next five stops. Each time she flips "heads, " she goes up one floor. Each time she flips "tails, " she goes down one floor. What is the probability that each of her next five stops is on the 7th floor or higher? Express your answer as a common fraction.
Mathematics
1 answer:
yan [13]3 years ago
8 0

Answer:

The probability is \frac{1}{2}

Step-by-step explanation:

We are going to modeled this problem from the number of heads.

Let be H : ''The number of heads after five flips''

H can assume the following values :

h = 0

h = 1

h = 2

h = 3

h = 4

h = 5

H ~ Bi (n,p)

H ~ Bi (5,0.5)

H can be modeled as a Binomial random variable.

In which p = 0.5 is the success probability (the probability of head in one flip of a fair coin)

n = 5 is the number of times that we flip the coin.

We are also assuming independence in each flip.

The probability function for H is

P(H=h)=(nCh)p^{h}(1-p)^{n-h}

P(H=h)=(5Ch)0.5^{h}0.5^{5-h}

For all the possible values of H

H ≥ 3 is the event that puts Polya on the 7th floor or higher.

Now we calculate the probability of H ≥ 3

P(H\geq 3)=P(H=3)+P(H=4)+P(H=5)

P(H\geq 3)=(5C3)0.5^{3}0.5^{2}+(5C4)0.5^{4}0.5^{1}+(5C5)0.5^{5}0.5^{0}

P(H\geq 3)=0.3125+0.15625+0.03125=0.5

P(H\geq 3)=\frac{1}{2}

Therefore, the probability of each of her next five stops is on the 7th floor or higher is \frac{1}{2}

You might be interested in
Please find it <br>please help ​
Sedbober [7]

Answer:

29/30

Step-by-step explanation:

11/12 + 1/20

220+12/240

232/240 ........divide it by 8

29/30

6 0
2 years ago
Can some one please help me <br><br>solve: 6(x+4) = 30
DochEvi [55]

Answer:

6(x+4)=30

6x+24=30

6x+24-24=30-24

x=6/6

x=1

Step-by-step explanation:

Hope this helps you

Mark me as brainliest

4 0
3 years ago
Read 2 more answers
SOSSSS:<br><br> Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2
trapecia [35]

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

6 0
2 years ago
Write the number 418,712,909 in word form
nordsb [41]
Four-hundred and eighteen million, seven hundred and twelve thousand and nine hundred and nine 
7 0
2 years ago
N times 5 is equal to 24<br><br> word in equation and solve for variable
Lyrx [107]

Step-by-step explanation: Remember that "times" mean multiply.

So reading the problem from left to right, we have n times 5,

that's n multiplied by 5 or 5n, is means equals, 24.

So we have 5n = 24.

We want to solve our equation for n so we want to get

n by itself on the left side of the equation.

Since n is being multiplied by 5, we need to divide both sides

of the equation by 5 and we have n = 24/5.

Don't be nervous to check your answer back in

the original equation even if it is a fraction.

6 0
3 years ago
Other questions:
  • 3 tims what will =28
    9·2 answers
  • I don't like story problems
    13·2 answers
  • What two numbers add up to -3 and multiply to -100?
    5·1 answer
  • Look at the attachment pls!!
    5·1 answer
  • I need to know the answer to 1,847,304,738 divided by 3
    13·1 answer
  • Find two equivalent fractions for 2/12
    10·2 answers
  • A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person
    11·2 answers
  • –8.97 − 7.9s = 9.93 − 3.7s
    6·2 answers
  • Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years
    9·2 answers
  • What is 1/6 divided by 1/2
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!