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
artcher [175]
3 years ago
13

A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors

had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? Please help i need asap!!!!!!!!!!!!!!!!!!
Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

Answer:

0.3478

Step-by-step explanation:

Given:-

- The number of sophomore, S = 150

- The sophomore and had summer internship, x = 80

- The number of juniors, J = 200

- The junior and had summer internship, y = 150

Find:-

What is the probability that the person is a sophomore given that the person had a summer internship?

Solution:-

- The total sum of sophomore and junior students is N:

                         N = S + J

                         N = 150 + 200

                         N = 350 students.

- We will denote event A as random selection of sophomore from total.

- We will denote event B as random selection of student who had summer internship.

- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.

- The conditional probability can be written as:

                        P ( A / B ) = P ( A & B ) / P ( B )

Where,

        P ( A & B ) : The probability the person is a sophomore and had a summer internship.

        P ( B ): The probability that the person selected had a summer internship.

                      P ( A & B ) = x / N

                                        = 80 / 350

                                        = 0.22857143

                     P ( B ) = ( x + y ) / N

                               = ( 80 + 150 ) / 350 = 230/350

                               = 0.65714286

Therefore the required probability is:

           

                     P ( A / B ) = 0.22857143 / 0.65714286

                                      = 0.3478  ... Answer

                                       

                         

You might be interested in
9 batteries cost 13 dollars.It's ratios and Rates
8090 [49]
One battery costs $1.44.

The unit rate would be
\frac{1.44}{1 battery}

To get that answer, you would have to divide 13 ÷ 9.

I'm not sure if this is what you were looking for, but if it was, I hope I helped! :-)
4 0
3 years ago
Read 2 more answers
PLEASE HELP! 13 POINTS! A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and costs 38 d
il63 [147K]

Answer:

X = 9 months

Step-by-step explanation:

To solve the number of months when the cost of each payment

are the same, you should equate the two cost. First establish the equations


Let A be the cost of first payment method


B is the cost of the second payment method


X is the number of months


A = 38x + 15


B = 31x + 78


38x + 15 = 31x + 78


7x = 63


X = 9 months



5 0
4 years ago
Round what does 168 356 to the nearest ten thousand
Vesna [10]
168,356. the ten thousand is the 6. To find the estimate, the one would stay there and the six would become a seven because the eight eight before the six is above five. All in all, the answer is 170.000
5 0
3 years ago
Read 2 more answers
3/4n=1/2 what is n ​
Korolek [52]

Answer:

n=2/3

Step-by-step explanation:

n=1/2÷3/4

n=1/2×4/3

n=4/6

n=2/3

4 0
3 years ago
Eric owns eleven animals. some of his animals are rabbits and some are chicken. if there are a total of 38 legs what is the numb
Alex_Xolod [135]
He would have 3 chickens
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer 9+5r-9r=
    7·1 answer
  • The temperature at noon is -4 degrees the temperature drops 1 1/2 degrees per hour for 4 hours. What is the temperature at 4 pm?
    15·1 answer
  • The function can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
    12·2 answers
  • What is the value of the variable
    10·1 answer
  • The equation of a line is given below.
    7·2 answers
  • Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?
    15·2 answers
  • Write cos(3x) - cos x as a product
    9·1 answer
  • Grayson is designing a rectangular athletic field. On a scale drawing the vertex of the rectangle are (4, 5), (9, 10) ,and (9, 5
    14·2 answers
  • The revenue each season from tickets at the theme park is represented by t(c)=5x. The cost to pay the employees each season is r
    7·1 answer
  • Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!