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
Svetlanka [38]
3 years ago
14

Ms. Aquina has just had a biopsy on a possibly can- cerous tumor. Not wanting to spoil a weekend family event, she does not want

to hear any bad news in the next few days. But if she tells the doctor to call only if the the news is good, then if the doctor does not call, Ms. Aquina can conclude that the news is bad. So, being a student of probability, Ms. Aquina instructs the doctor to flop a coin. If it comes up heads, the doctor is to call if the news is good and not call if the news is bad. If the coin comes up tails, the doctor is not to call. In this way, even if the doctor doesn’t call, the news is not necessarily bad. Let α be the probability that the tumor is cancerous; let β be the conditional probability that the tumor is cancerous given that the doctor does not call. (a) Which should be larger, α or β? (b) Find β in terms of α, and prove your answer to (a).

Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

a) α should be larger than β

Step-by-step explanation:

a) Refer to the diagram attached to the bottom of this answer. Given that the tumor is cancerous (that is saying that α happens), there are other events different than β in that event space, so β should be smaller than α.

b) Using the diagram again, we can see that the probability of β happening is the product of α and the probability that the coin shows tails, which is 0.5, then:

β = 0.5·α

which proves β is half of α, hence α is larger.

You might be interested in
I've been having problems with this for a while...
Rina8888 [55]
Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.

Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:

20 ............2.5
-------- = ---------
...x ............. 2

where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:

20×2 = 2.5 × x

Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).

We would then have:

20×2
------- = x
2.5

Which then simplifies to:

x = 16

Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)

3 0
3 years ago
Which team has the best winning percentage?
pentagon [3]

Answer: A)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 13(6x +3) −p
34kurt

Answer:

-p+78x+39

Step-by-step explanation:

5 0
2 years ago
What’s the correct answer for this?
Mice21 [21]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

First, you'd work out the centre value

It would be the opposite value to what is in the brackets

Thus, the centre value is (2, -4)

Plot this value on a graph

In order to find the radius, you must square root the 25

Thus, the radius would be 5

Plot some points with a radius of 5 from the centre and then draw the circle

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

8 0
3 years ago
How to answer the question
bulgar [2K]

That is sudoku, a game that I am really good at. first off the square on the left in the middle is messed up, because on the square above it there is a 5 where it would make the 5 in the middle left square incorrect. So you have to erase the 5 in the square on the middle left. Then if you can do sudoku, you could do the rest.

hope I helped!

5 0
3 years ago
Other questions:
  • Show me the steps to solve and the solution y-2>1/2(x-2)
    5·1 answer
  • Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon
    6·1 answer
  • For a certain​ candy, 15​% of the pieces are​ yellow, 1010​% are​ red, 2020​% are​ blue, 55​% are​ green, and the rest are brown
    14·1 answer
  • Please help me ASAP!!!
    12·1 answer
  • If James can swim 10 laps in 23 mins. what would be his expected time for 15 laps?
    12·2 answers
  • The product of the roots of x2 + 6x - 55 = 0 is:<br> -55<br> 55
    7·2 answers
  • How do you turn 75.8% into a decimal
    15·1 answer
  • Find the distance between (-4,-3) and (-2,0). Round your answer to the nearest tenth.
    5·2 answers
  • Hello if yall can help me please...
    14·2 answers
  • The reflection of a point P across a line m is the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!