Help pls also can you explain how to do this if not it’s okay

In a math class with 27 students, a test was given the same day that an assignment was due. There were 17 students who passed th

timama [110]

Answer:

The probability that a student who completed the homework failed the test is 0.211.

Step-by-step explanation:

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event A given that another event B has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Denote the events as follows:

P = a student passes the test

F = a student fails the test

X = a student completes the assignment

Y = a student does not completes the assignment

From the information provided the summary table is as follows:

P F Total

X 15 4 19

Y 2 6 8

Total 17 10 27

Compute the probability that a student completed the assignment and failed the test as follows:

$P(X\cap F)=\frac{n (X\cap F)}{N}=\frac{4}{27}$

Compute the probability that a student completed the assignment as follows:

$P(X)=\farc{19}{27}$

Compute the probability that a student failing the test given that the student completed the assignment as follows:

$P(F|X)=\frac{P(X\cap F)}{P(X)}=\frac{4/27}{19/27}=\frac{4}{19}=0.21053\approx 0.211$

Thus, the probability that a student who completed the homework failed the test is 0.211.

7 0

3 years ago

An urn contains 3 red, 8 yellow and 13 green balls; another urn contains 5 red, 7 yellow and 6 green balls. We pick one ball fro

kkurt [141]

Answer:

The number of possible outcomes is 24×18.

The number of favorable outcomes are as follows: (3×5)+(8×7)+(13×6)

The probability is simply:

(3×5)+(8×7)+(13×6)/24×18=149/432

Step-by-step explanation:

8 0

3 years ago

| 3x - 5|= 11 How do u do this

Valentin [98]

Answer:

x= 5 1/3

Step-by-step explanation:

l3x-5l=11

3x-5=11

+5 +5

3x=16

/3 /3

x=5 1/3

6 0

3 years ago

a rectangular plot of ground is 30 meters longer than it is wide. its area is 15,00 square meters. what equation will help you f

e-lub [12.9K]

Length(width + 30)=15,000 square meters, so the equation is l(w+30)=15,000, either 15,000 or 1,500 i cannot tell which number you were meaning to say because of where your comma is placed.

4 0

3 years ago

Describe the likelihood of the event given its probability.

slavikrds [6]

Answer:

this makes no sense because there is no like out of, meaning it arrives late out of how many days? like how many days has i been since it arrives late 27 times?

Step-by-step explanation:

6 0

3 years ago