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
kondor19780726 [428]
2 years ago
7

The table shows the results of a poll of 200 randomly selected juniors and seniors who were asked if they attended prom. Find th

e probability of each of the events.
juniors seniors
yes 28 97
no 56 19

Express your answer as a fraction, using the backslash. Example: 17 would be written as 1/7.


a) P (a junior who did not attend prom)

b) P (did not attend prom | senior)

c) P (junior | attended prom)
Mathematics
2 answers:
vladimir2022 [97]2 years ago
4 0

Answer:

<u>A. P = 7/25 </u>

<u>B. P = 19/116</u>

<u>C. P = 28/125</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly this way:

     <u> Juniors  Seniors   Totals</u>

Yes       28         97          125

No       56         19           75

<u>Totals</u>   84        116          200

2. Find the probability of each of the events.

Let's recall that the formula of probability is:

P = Number of favorable outcomes/Total number of possible outcomes

A. P (a junior who did not attend prom)

P = Juniors who did not attend prom/Total number of students surveyed

P = 56/200

P = 7/25 (Diving by 8 numerator and denominator)

B. P (did not attend prom | senior)

P = Seniors who did not attend prom/Total number of seniors surveyed

P = 19/116

C. P (junior | attended prom)

P = Juniors who attend prom/Total number of students attended prom

P = 28/125

Zielflug [23.3K]2 years ago
3 0

Answer:

(a)\frac{7}{25}

(b)\frac{19}{116}

(c)\frac{28}{125}

Step-by-step explanation:

Number of juniors who attended prom,n(J)=28

Number of seniors who attended prom,n(S)=97

  • Total of those who attended prom=125

Number of juniors who did not attend prom,n(J')=56

Number of seniors who did not attend prom,n(S')=19

  • Total of those who attended prom=75
  • Total Number of students=200

(a) P (a junior who did not attend prom)

P(J')=\frac{56}{200}= \frac{7}{25}

(b)

P(Senior)=\frac{116}{200}

P ($did not attend prom$ | senior)=\frac{\text{P(seniors who did not attend prom)}}{P(Senior)} \\=\frac{19/200}{116/200} \\=\frac{19}{116}

(c)P (junior | attended prom)

P(Senior)=\frac{84}{200}

P (Junior|$ attended prom$)=\frac{\text{P(juniors who attended prom)}}{P(\text{those who attended prom)}} \\=\frac{28/200}{125/200} \\=\frac{28}{125}

You might be interested in
The function (x) = x is shown on the graph,
Sindrei [870]

Answer:

the domain of the function is all real numbers less than or equal to 0

3 0
2 years ago
Which is a diagonal through the interior of the cube?<br><br> BE<br> CF<br> DG<br> GF
miv72 [106K]
B cf You’re welcome
4 0
3 years ago
Read 2 more answers
Can not be bothered to write the question so ima just attach it
stellarik [79]

Use desmos graphing calculator, for visuals. It's easy to use as well.

A is 0 (zero)

(1x1 + 2x1 - 3)

B) D ( lies on 1 on our x-axis)

C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.

y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.

Thus, x = - 3 & x = 1

Hope this helps!

6 0
1 year ago
Tins of soup claim to contain 300 ml of soup. Aki wants to test if this is an accurate claim. She samples n tins of soup and fin
Basile [38]

This is the dumbest experiment in the world. Like seriously _s o u p c a n s ?

8 0
3 years ago
For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
Tema [17]

Answer:

d

Step-by-step explanation:

Area of the inner circle = 3^2 π = 9 π

total area = 10^2 π = 100π

area of the shaded region

100π - 9 π = 91 π

5 0
2 years ago
Other questions:
  • Simplify 8 - {X - (5 + x)).<br> 3<br> 013<br> -2x + 3<br> -2x + 13
    12·1 answer
  • If AB + BC = AC, and A, B,and C are collinear, which of the following is true?
    8·1 answer
  • A multiplication problem is provided as a string using the format 'x times y'. Create a function called MultiplyString to extrac
    14·1 answer
  • What fraction is equivalent to 7 over 15
    5·1 answer
  • 5/16 = 15/18 is proportion
    11·1 answer
  • What is 4910000 in scientific notation
    6·2 answers
  • Explain how you would solve -5/8 divided by 2/3 and what the solution is?
    14·1 answer
  • Kylie wants to add 10 to 167. She thinks that the 6 represents the number of tens and thats by adding a 10 there are a total of
    8·1 answer
  • Indicate the answer choice that best completes the statement or answers the question
    6·1 answer
  • Use for questions 21-24: Out of 50 students, 24 are taking art and 30 are taking music. Sixteen of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!