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
Lelechka [254]
3 years ago
6

A research team conducted a study showing that approximately 15% of all businessmen who wear ties wear them so tightly that they

actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities (Round your answers to three decimal places.) (a) at least one tie is too tight (b) more than two ties are too tight (c) no tie is too tight (d) at least 18 ties are not too tight
Mathematics
1 answer:
Helen [10]3 years ago
8 0

Answer:

a) 0.913

b) 0.397

c) 0.087

Step-by-step explanation:

We are given the following information:

We treat wearing tie too tight as a success.

P(Tight tie) = 15% = 0.15

Then the number of businessmen follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

We have to evaluate:

a) at least one tie is too tight

P(x \geq 1) = P(x = 1) +....+ P(x = 15)\\=1 - P(x = 0)\\= 1 - \binom{15}{0}(0.15)^0(1-0.15)^{15}\\=1 - 0.087\\= 0.913

b) more than two ties are too tight

P(x > 2) = P(x = 3) +....+ P(x = 15)\\=1 - P(x = 0) - P(x=1) - P(x=2)\\= 1 - \binom{15}{0}(0.15)^0(1-0.15)^{15}-\binom{15}{1}(0.15)^1(1-0.15)^{14}-\binom{15}{0}(0.15)^2(1-0.15)^{13}\\=1 - 0.087 - 0.231 - 0.285\\= 0.397

c) no tie is too tight

P(x = 0)\\=\binom{15}{0}(0.15)^0(1-0.15)^{15}\\=0.087

d) at least 18 ties are not too tight

This probability cannot be evaluated as the number of success or the failures exceeds the number of trials given which is 15.

The probability is asked for 18 failures which cannot be evaluated.

You might be interested in
Find negative x when x is negative seven
Free_Kalibri [48]
Thus, we multiply the numbers together as we normally would, and then put a negative sign in front of our answer. So, 4 x -3 = -12. Please note that this also works when the negativenumber comes first and the positive number is second. For example, you may see it written -3 x 4, but don't get confused
7 0
3 years ago
Pleasee help ill mark brainliest
borishaifa [10]
A and C are the correct answers.
6 0
3 years ago
Read 2 more answers
The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25
Darina [25.2K]

Answer:

B

Step-by-step explanation:

Because 16 + 2.50 is less than 25 + 0.25x

7 0
2 years ago
The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is
mafiozo [28]

Answer:

D.

Step-by-step explanation:

The formula is Sum(n) = (n -2) 180.

8 0
3 years ago
SOLVED
Nastasia [14]
5)
a. The equation that describes the forces which act in the x-direction: 
<span>     Fx = 200 * cos 30 </span>
<span>
b. The equation which describes the forces which act in the y-direction: </span>
<span>     Fy = 200 * sin 30 </span>

<span>c. The x and y components of the force of tension: </span>
<span>    Tx = Fx = 200 * cos 30  </span>
<span>    Ty = Fy = 200 * sin 30 </span>

d.<span>Since desk does not budge, </span><span>frictional force = Fx
                                                                        = 200 * cos 30 </span>

<span>                                                 Normal force </span><span>= 50 * g - Fy
                                                                       = 50 g - 200 * sin 30 
</span>____________________________________________________________
6)<span> Let F_net = 0</span>
a. The equation that describes the forces which act in the x-direction: 
    (200N)cos(30) - F_s = 0

b. The equation that describes the forces which act in the y-direction:
    F_N - (200N)sin(30) - mg = 0

c. The values of friction and normal forces will be:
     Friction force= (200N)cos(30),
     
The Normal force is not 490N in either case...
Case 1 (pulling up)
F_N = mg - (200N)sin(30) = 50g - 100N = 390N

Case 2 (pushing down)
F_N = mg + (200N)sin(30) = 50g + 100N = 590N
4 0
3 years ago
Other questions:
  • What's 7,782 rounded to the nearest hundred?
    7·1 answer
  • 18 divided by 1919, how did you get your answer? Show your work!
    14·1 answer
  • Find the least common denominator (LCD) of 5/12 and 1/9
    5·1 answer
  • Which of these numbers have 8 as a factor
    5·1 answer
  • How do you solve -8x+x=-35
    14·2 answers
  • Solve for X <br><br>can you show me how to do this problem.​
    5·2 answers
  • 10 ft
    6·1 answer
  • Luis went to the bank he deposited $20 into his savings account and withdrew $40 from his checking account. Write integers to de
    8·1 answer
  • How many solutions does this system for equations have ? PLZ HELP ASAP !
    7·1 answer
  • Plz Find x if right I give brainlyest
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!