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
Finger [1]
3 years ago
5

A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% o

f the class are girls and scored an A on the test.
If a student is chosen at random and is found to be a girl, the probability that the student scored an A is_________.
Mathematics
2 answers:
erica [24]3 years ago
8 0
.78 rounded to the nearest hudredth as asked in the orignal question. You are welcome! :)
zalisa [80]3 years ago
4 0

Answer:

A student is chosen at random and is found to be a girl, the probability that the student scored an A is 0.5865 or 58.65%

Step-by-step explanation:

Given : A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test.

To find : If a student is chosen at random and is found to be a girl, the probability that the student scored an A is ?

Solution :  

Let B be event to choose boys and G be event to choose girls.

Let E be event to scored grade A.

We have given,

P(B)=55%=0.55

P(G)=45%=0.45

25% of the class are boys and scored an A on the test

P(E/B)=\dfrac{P(E\cap B)}{P(B)}=\frac{0.25}{0.55}=0.45

35% of the class are girls and scored an A on the test

P(E/G)=\dfrac{P(E\cap G)}{P(B)}=\frac{0.35}{0.45}=0.78

Using Baye's Theorem of probability

If a student is chosen at random and is found to be a girl, the probability that the student scored an A.

P(G/E)=\dfrac{P(E/G)\times P(G)}{P(E/G)\times P(G)+P(E/B)\times P(B)}

P(G/E)=\dfrac{0.78\times 0.45}{0.78\times 0.45+0.45\times 0.55}

P(G/E)=0.5865

P(G/E)=58.65\%

Therefore, A student is chosen at random and is found to be a girl, the probability that the student scored an A is 0.5865 or 58.65%

You might be interested in
Carlotta handpaints T-shirts and sells them to her friends. She uses the equations below to determine her costs and the amount o
spayn [35]
Profit = Income - cost
Profit = 10s - (28 + 3s) = 10s - 28 -3s = 7s - 28.

Profit = 0

0 = 7s - 28

7s = 28
7s = 28/7
s = 4. This is the breakeven point.

Carlota must sell more than 4 shirts to make a profit
8 0
3 years ago
Read 2 more answers
(a) One ball is selected at random from the bag.
lana [24]

Answer:

a) The probability is 1/5

bi) The probability each ball is even will be 2/5

bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25

(that's what I think it is)

3 0
3 years ago
Adult tickets for the school play are $12.00 and children's tickets are $8.00. If a theatre holds 300 seats and the sold out per
Vaselesa [24]
Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.

Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.

Using the substitution method:

x + y = 300   ⇒   y = 300 - x   ⇒   Equation (3)

12x + 8y = 3280   ⇒   12x + 8(300-x) = 3280   ⇒   x = 220

y = 300 - x   ⇒   y = 300-220 ⇒ 80

Therefore 220 adult tickets and 80 children's tickets were sold.
6 0
3 years ago
Can someone please help me with this
Mamont248 [21]
The answer to the questions is the second one
5 0
2 years ago
Read 2 more answers
Which of the following inequalities have no solution over all real numbers? Check all that apply.
Talja [164]

Answer:A,D,E

Step-by-step explanation:

Just did the assignment

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two lines segment that both have a midpoint at point M
    7·1 answer
  • What is the sum of the integers between the square root of 12 and 40?
    9·1 answer
  • Is 0.48 equal to 6/15
    8·2 answers
  • If the cube shown is 7 centimeters on all sides what is the length of the diagonal x.
    10·2 answers
  • A biased dice is rolled and the results are recorded in a table
    6·2 answers
  • 11. Harvey the wonder hamster can run 3 1/4 km in 1/2 hour. If Harvey runs at a constant rate, how fast can he run in 1 hour. (W
    12·2 answers
  • Can someone give me 500 pts and 5 brainliest
    13·2 answers
  • the scale on a blueprint for a new apartment is 1 in equals 4 feet if the length of the living room on the blueprint is 6 in, wh
    12·1 answer
  • Help pls!!!!!!!!!!!!!!!!
    9·1 answer
  • Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 400 ft? of fabric. What
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!