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
Marizza181 [45]
4 years ago
15

Suppose that for a recent admissions class, an Ivy League college received 2,851 applications for early admission. Of this group

, it admitted 1,033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2,375. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.(a) Use the data to estimate P(E ), P(R), and P(D). If required, round your answers to four decimal places.P(E) =P(R) =P(D) =(b) Are events E and D mutually exclusive?Find P(E ∩ D). If your answer is zero, enter "0".(c) For the 2,375 students who were admitted, what is the probability that a randomly selected student was accepted during early admission? If required, round your answer to four decimal places.(d) Suppose a student applies for early admission. What is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process? If required, round your answer to four decimal places.
Mathematics
1 answer:
masya89 [10]4 years ago
3 0

Answer:

a. P(E) = 1033/ 2851=0.3623

P(R) = 854/2851=0.2995

P(D) = 964/2851=0.3381

P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004

(d)  0.423 158

Step-by-step explanation:

a. P(E) = 1033/ 2851=0.3623

P(R) = 854/2851=0.2995

P(D) = 964/2851=0.3381

(b) Are events E and D mutually exclusive?

Yes these events are mutually exclusive. If students are deferred they may be admitted later but not early.  Mutually Exclusive or disjoint events do not occur at the same time.

P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004

(c) For the 2,375 students who were admitted,  the probability that a randomly selected student was accepted during early admission is

P(E) = 1033/ 2851=0.3623

P(E) + P(D for later admission)  =0.3623 + 18%*0.3381

                                                    =0.3623 + 0.0609 = 0.423 158

You might be interested in
What's is m when u are looking for x or y intercept​
Len [333]

Answer:

Slope.

Step-by-step explanation:

mx+b

4 0
3 years ago
Read 2 more answers
Do everything besides the illustration for the word grim plz
aleksandr82 [10.1K]
Grim- adjective. If grim was a color it would be a deep purple or black. It is a depressing word and is often related to death or an uninviting experience. Grim is a worrying word and is often cautioned. 
7 0
4 years ago
Fraction is equivalent to a terminating decimal
11111nata11111 [884]
The best way to compare fractions would be to make them have like denominators.  We first , in this case, need to convert from decimal to fraction. 

                 Converting decimals to fractions first requires an understanding of the decimal places that fall after the decimal.  One place after the decimal is the tenths place.  If you have a decimal that ends at one place after the decimal (or in the tenths place) it can be written as the number after the decimal in the top of the fraction and ten (tenths place) in the denominator.  ex.   .5 ends one place after the decimal and can be written as 5/10...(read as five tenths).

If a decimal ends at two places after the decimal...(ex.   .75)...it ends in the hundredths place, can be written as that number in the numerator and 100 in the denominator....(ex  75/100) and is read as seventy-five hundredths. 

one place after the decimal is tenths (over 10), two places is hundredths (over 100), three places is thousandths (over 1000) , four places ten-thousandths (over 10000) and so on.

Because each decimal in your problem has a different amount of decimal places, it makes for different denominators. But, We can add a zero to the end of a decimal without changing it's value; if we add a zero to the end of .5 and make it .50 , we then can write it as 50/100 and would now have like denominators.

if .5 = .50 = 50/100 and .75 = 75/100

we now have the question what fractions can fall between 50/100 and 75/100. 

That would be fractions such as 51/100, 52/100, 53/100.......74/100.


6 0
3 years ago
The function f(r) gives the area of a circle with radius r. It can be written in equation form as f(r) = 3.14r2. What is f(5)?
alexandr402 [8]
F(r) = 3.14r^2....and ur looking for f(5)....so basically all u do is sub in 5 for r.

f(5) = 3.14 * 5^2
f(5) = 3.14 * 25
f(5) = 78.50 <===


5 0
4 years ago
Read 2 more answers
Henry went to an amusement park with $150.00 and spent all of it. He spent 1/5 of the money on parking He spent $37.00 on admiss
sashaice [31]

Answer:

8 games

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Total amount = $150

Spent on Parking = 1/5 or 20% = $150 × 20% = $30

Spent on admission = $37

Spent on food = 40% = $150 × 40% = $60

Spent on admission in waterpark = $10

Each game cost = $1.5

So, let number of games played be X, then

$30 + $37 + $60 + $10 + $1.5X = $150

$137 + $1.5X = $150

1.5X = $150 - $137

1.5X = $13

X = $13 ÷ 1.5 = 8.67 or 8 games

Hence, Henry can play 8 games.

7 0
3 years ago
Other questions:
  • Choose the equation of the vertical line passing through the point (8, −2).
    11·2 answers
  • The discriminant of a quadratic equation is 34. Which of the following is true about its roots? *
    8·1 answer
  • Which equation equivalent to logx36=2
    7·1 answer
  • The answer to this plzzz
    5·1 answer
  • You roll a fair 6-sided die. What is the P(Not 1) *
    9·1 answer
  • An arc is intercepted by a central angle of 3π2 radians on a circle with a radius of 18 centimeters. What is the exact length of
    7·1 answer
  • On every 3rd day Ivan goes to the gym to exercise. Every 5th day Gavin goes to the gym to exercise. What is the first day Ivan a
    8·2 answers
  • Plz help me answer this !!!
    9·2 answers
  • Simplify ( 2+ 6) /4 + 12•3+1 ?
    13·2 answers
  • Identify whether each phrase is an expression, equation, or inequality.<br> Term Phrase
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!