Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80 own both brands of mobile phones. Find the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.2/14

5/21

3/28

4/29

Answers

Answer 1

Answer:

Answer: The probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone is 4/29.

Step-by-step explanation:

Since, the total number of students, n(s) = 1,000

The number of students who have X mobile phones, n(X) = 420,

And, number of students who have Y mobile phones, n(Y) = 580,

Thus, the probability of the student that has Y phones,

$P(Y)=(n(Y))/(n(S))=(580)/(1000)=0.58$

While, the number of students who have both phones, n(X∩Y) = 80

Thus, the probability of the student who has both phones,

$P(X\cap Y)=(n(X\cap Y))/(n(S))=(80)/(1000)=0.08$

Hence, the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.

$P((X)/(Y))=(P(X\cap Y))/(P(Y))$

$=(0.08)/(0.58)$

$=(8)/(58)=(4)/(29)$

Hence, the required probability is 4/29.

Answer 2

Answer: If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.

Related Questions

Can someone show me how to do Mean absolute deviation What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 4.3 1 2 4.9 1.2
Simplify 2m - [n - (m - 2n)]. -3m - n 3m - n -3m - 3n 3m - 3n
Write the slope-intercept form of the equation of the line through the given points. through: (3, -4) and (-4, 4)
Given f(x)=5x 5 and g(x)=6x 1 then what is (f g)(−8)) ?
Solve for x. 3(3x - 1) + 2(3 - x) = 0

Select the correct answer. sara's gross pay is $600, from which $27 is deduced for oasdi, $8 for medicare, and $10 for income tax. what is her net pay? a. $500 b. $510 c. $555

Answers

Answer:

Step-by-step explanation:

Bob is 15 and susan is 21, find the ratio of his age to hers____________

Answers

Ratios can be expressed with a colon, fraction bar, or the word 'to' inbetween.

Bob's age:Susan's age
Bob's age/Susan's age
Bob's age to Susan's age

Of course we can substitute their ages here to get our ratio.

15:21, 15/21, or 15 to 21.

Just like a fraction, it can be simplified.
If you multiply/divide the top and bottom by the same number the ratio stays the same, just like how 1/2 = 2/4 = 3/6.

15 and 21 are both divisible by 3, so our ratio 15:21 can simplify to 5:7.

so ratio of bob to susan=bob:susan
bob=15
susan=21
bob:susan=15:21
these are like fractions or equal signs so
15:21=5:7

ratio is 5:7

To help divide a group into 4 teams, the teacher brought out a bag with equal numbers of 4 different colored popsicle sticks (green, yellow, blue, and red). With 28 students randomly picking a stick, what is the probability that the first stick drawn will be green? A. 0.250 B. 0.571 C. 0.036 D. 0.143

Answers

the set of all possible events Ω

Ω = 24 ( 4*7 = 28 stick)

set of events favorable A
A = 7 ( sticks of green is 7)

Probability P
P(A) = A/Ω = 7/28 = 1/4 = 0,25

Answer A
The first person has the ability to draw seven green sticks of twenty-four

Answer: A) 0.250

Step-by-step explanation:

Help! please give steps :) thanks 20pts

Answers

26.
period=4
max=3
min=-3

27:
p=8
max=5
min=0

28:
p=8
max= 4 (twice)
min=-4 (twice)

Hope this helps.

Hello,
26.
period=4
max=3
min=-3

27:
p=8
max=5
min=0

28:
p=8
max= 4 (twice)
min=-4 (twice)

Match the number on the net with the appropriate vertex on the prism.

Answers

Answer:

1. D

2. A

3. H

4. C

5. G

Step-by-step explanation:

Can anyone help me please?
What is
21 times x = 7

Answers

Answer:

x = 1/3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other:

21x = 7

Divide 21 from both sides:

(21x)/21 = (7)/21

x = 7/21

x = 1/3

x = 1/3 is your answer.

Answer: is 3 unless you mean that the x=7 if you mean that then it would be 147

Other Questions

Find the value of (3 4)2.

There is a discrete relationship between the number of workers and the number of bricks layed on a wall. Use this information to answer problems 9-11. What is the domain for the function that models the relationship between workers and bricks laid on the wall?

Calculate the cost of gasoline for a 420 mile trip if your car averages 20 miles/gallon of gas and the gas costs $3.55 per gallon

Whats the y intercept of y= 1/2 log(x+1)-log(2x+10)