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
kap26 [50]
3 years ago
14

Three students work independently on a homework problem.

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

a. 0.646

b. 0.0285

c. 0.0015

Step-by-step explanation:

Please refer to the tree diagram attached at the bottom of this answer.

a. Probability P of the three of them solving the problem:

P = P(A) · P(B) · P(C) = 0.95 · 0.85 · 0.80 = 0.646

b.  Only the first one:

P = P(A) · (1-P(B)) · (1- P(C)) = 0.95 · 0.15 · 0.20 = 0.0285

c. None of them:

P = (1-P(A)) · (1-P(B)) · (1- P(C)) = 0.05 · 0.15 · 0.20 = 0.0015

You might be interested in
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
2 years ago
100 pts Eight stuffed animals need to be arranged in a line. There is one bear and one zebra. What is the exact probability that
shtirl [24]

Answer:

1/56

Step-by-step explanation:

P( bear  is first) = bear/ total = 1/8

Then there are 7 animals left

P( zebra is 2nd) = zebra /total = 1/7

P( bear, then zebra) = 1/8 * 1/7 = 1/56

3 0
3 years ago
Read 2 more answers
295 times 67 long multiplication
Fittoniya [83]
19,765 but couldnt u just use a calculator??
8 0
3 years ago
Read 2 more answers
The straight line with equation y=3/4x makes an acute angle theta with the x-axis.
yanalaym [24]
The angle is arctan(3/4) => sin(2t) = sin(2arctan(3/4)) =
2sin(arctan(3/4))cos(arctan(3/4)) 

Let z = arctan(3/4) => tan(z) = 3/4 

2sin(arctan(3/4))cos(arctan(3/4)) = 2sin(z)cos(z) = 2(3/5)(4/5) = 24/25 

<span>cos(2t) = cos^2(t) - sin^2(t) = cos^2(z) - sin^2(z) = (4/5)^2 - (3/5)^2 = (16 - 9)/25

= 7/25

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
7 0
3 years ago
[-22(-0.2)] - [ (2) x 0.22] =<br><br> This stuff is hard...!!!
Ede4ka [16]

-22(-0.2) - [ 2 (0.22)]

4.4 - 0.44 = 3.96

8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify 6r · s · 4rt.
    12·2 answers
  • Gary bought a car for $40,000. If V = 40,000(.85)t represents the value of the car after t years, how long will it take the car
    10·2 answers
  • What should be the next number in the following series? 1 2 8 48 384
    10·1 answer
  • Will give Brainliest!
    14·1 answer
  • The math teachers had a party over the weekend where they all had some of
    15·2 answers
  • Explain answer !! <br><br> Will give brainlst
    14·2 answers
  • Can someone plz help with this? Thank you so much.
    12·2 answers
  • Find the volume of the composite solid.<br><br> NO LINKS PLEASE!
    5·2 answers
  • Solve equation 7x+5y= 15 for y
    15·1 answer
  • CosA/secA+sinA/cosecA=1 ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!