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
kumpel [21]
3 years ago
12

We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the stu

dent is female. Which of the following pairs of probabilities is not a useful comparison?
a. 1360/2468 and 116/170
b. 170/2468 and 116/1360
c. 1360/2468 and 170/2468
Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Answer:

The correct option is (c).

Step-by-step explanation:

The complete question is:

The data for the student enrollment at a college in Southern California is:

                    Traditional          Accelerated            Total

                  Math-pathway     Math-pathway

Female              1244                       116                   1360

Male                  1054                       54                    1108

Total                  2298                     170                  2468

We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?

a. 1360/2468 and 116/170

b. 170/2468 and 116/1360

c. 1360/2468 and 170/2468

Solution:

If two events <em>A</em> and <em>B</em> are independent then:

P(A|B)=P(A)\\\\\&\\\\P(B|A)=P(B)

In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.

Consider the following probabilities:

P (F|A) = \farc{116}{170}\\\\P(A|F)=\frac{116}{1360}\\\\P(A)=\frac{170}{2468}\\\\P(F)=\frac{1360}{2468}

If the two events are independent then:

P (F|A) = P(F)

&

P (A|F) = P (A)

But what would not be a valid comparison is:

P (A) = P(F)

Thus, the correct option is (c).

You might be interested in
Zoey purchased a new car in 1992 for \$28,000$28,000. The value of the car has been depreciating exponentially at a constant rat
elena-s [515]
400$
Explanation:
In 1992, the price is 28000$ and 9600$ in 1996 so in 4 years the value the car lost is 18400$
Dividing 18400 by 4 years we get 4600 depreciation value per year.
Between 1996 and 1998 there is 2 years
So in 1998 the value of the car will be:
9600 (value in 1996) - 2x4600 = 400$
3 0
3 years ago
Read 2 more answers
PLEASE HELP ME OUT IM FAILING MATH
MrMuchimi

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
36 into the ratio 5:4
Mrac [35]

Answer:

5/4 divided by 36?

= 5/144

3 0
3 years ago
Read 2 more answers
Kate has gone up to the chalkboard to do math problems 5 more times than Andre. Kate has gone up 11 times. Which equation repres
balandron [24]
 B, because it says she has gone up 5 times Andre (a).
8 0
3 years ago
Read 2 more answers
15) Yanni received her monthly credit card statement in the mail, the summary of which is shown below. When she
Sergeu [11.5K]

Answer:

  D.  $3,776.28

Step-by-step explanation:

The finance charge should be ...

  $3558.71 × 1.75% = $62.28 . . . . . . not $82.28

The new balance should be $20 less than what is shown, so should be ...

  $3,776.28

4 0
3 years ago
Other questions:
  • Round 21.98 to the nearest hundredth
    13·2 answers
  • I need help with figuring out linear functions
    10·1 answer
  • Ancy
    13·1 answer
  • What percent of 52 is 15?​
    10·2 answers
  • Which expression is equivalent to<br>-19 -11 ​
    9·1 answer
  • Two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance? ​
    14·1 answer
  • 2.
    10·1 answer
  • How many grams are there in 3.4 x 1024 atoms of helium (He)?
    10·1 answer
  • 3 people can build a shed in 8 hours how long would it take 5 people give your answer in minutes
    12·1 answer
  • Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 cm, 8 cm,
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!