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
Maksim231197 [3]
3 years ago
10

If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

Mathematics
1 answer:
andre [41]3 years ago
7 0

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

^nC_k=\frac{n!}{k!(n-k)!}

in our given question, n= 7, k= 4

Putting values:

^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: \frac{35}{128}

Keywords: Probability

Learn more about Probability at:

  • brainly.com/question/1637111
  • brainly.com/question/2254182
  • brainly.com/question/2264295

#learnwithBrainly

You might be interested in
Plz help. 3y + 6 = -2x
Galina-37 [17]
Answer: 2x+3y = -6

Good luck !
7 0
3 years ago
Read 2 more answers
16 is what percent of 34? Round your answer to the nearest tenth of a percent if necessary.
Andrei [34K]
<span>Divide 16 by 34, then move the decimal point two places to the left. 
</span>
4 0
3 years ago
Read 2 more answers
Plot the point. (5,0)
Svet_ta [14]
Is there a plot?? How do I know where each point is??
5 0
2 years ago
Gym class of 30 boys and 45 girls is divided into groups each group has the same number of students each group has only boys or
Alexus [3.1K]
The greatest number of groups is 15. This is because 15 is a common multiple of 30 and 45
7 0
3 years ago
A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved in fatal accidents who are f
Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 ​g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~   t_n_-_1

where, \bar X = sample mean BAC = 0.16 g/dL

            s = sample standard deviation = 0.080 ​g/dL

            n = sample of drivers = 60

            \mu = population mean BAC in fatal crashes

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

So, a 90% confidence interval for the population mean, \mu is;

P(-1.672 < t_5_9 < 1.672) = 0.90  {As the critical value of t at 59 degrees of

                                              freedom are -1.672 & 1.672 with P = 5%}    P(-1.672 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.672) = 0.90

P( -1.672 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.672 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.672 \times {\frac{s}{\sqrt{n} } } , \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ]

                                       = [ 0.16-1.672 \times {\frac{0.08}{\sqrt{60} } } , 0.16+1.672 \times {\frac{0.08}{\sqrt{60} } } ]

                                       = [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0
3 years ago
Other questions:
  • What is the measure in degrees of &lt;ABC?
    11·2 answers
  • In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other? (Two seatings
    14·1 answer
  • Sam buys 4 tropical fish. Each fish is 5/8 of an inch long. Write an equation that represents 4 x 5/8 as a multiple of a unit fr
    12·1 answer
  • Solve the system of equations.<br> 2y - 3x = -27<br> 5y + 3x = 6<br> What is the x ?
    10·1 answer
  • If there are 40 juice boxes and 2/5 are cranberry juice how many boxes are cranberry juice
    5·2 answers
  • Factor the expression completely 2x^2-18
    13·1 answer
  • Algebra
    6·1 answer
  • WILL GIVE BRAINLIEST
    11·1 answer
  • Please help!!!!!!!!!!
    11·1 answer
  • What is the area of this triangle in the coordinate plane?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!