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
serg [7]
3 years ago
9

Each of 100 students in the Allen School can only take 1 CSE class each, between the four classes CSE 311, CSE 312, CSE 331, and

CSE 332. Each student (independently of others) takes CSE 311 with probability 0.3, CSE 312 with probability 0.4, CSE 331 with probability 0.1, and CSE 332 with probability 0.2. What is the probability that exactly 31 sign up for CSE 311, 39 sign up for CSE 312, 7 sign up for CSE 331, and 23 sign up for CSE 332
Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

P(a=31,b=39,c=7,d=23) = 0.000668

Step-by-step explanation:

Sample space, n = 100

Let the number of students signed up for CSE 311 = a

Let the number of students signed up for CSE 312 = b

Let the number of students signed up for CSE 331 = c

Let the number of students signed up for CSE 332 = d

Probability of taking CSE 311, P_a = 0.3

Probability of taking CSE 312, P_b = 0.4

Probability of taking CSE 331, P_c = 0.1

Probability of taking CSE 332, P_d = 0.2

P(a,b,c,d) = \frac{n!}{a! b! c! d!} p_a^{a}  p_b^{b}  p_c^{c}  p_d^{d} \\P(a=31,b=39,c=7,d=23) = \frac{100!}{31! 39! 7! 23!} *  0.3^{31} * 0.4^{39} * 0.1^{7}  0.2^{23}\\P(a=31,b=39,c=7,d=23) = \frac{4.58*10^{111}}{2.13*10^{56}* 5040 }* (1.57*10^{-55})\\P(a=31,b=39,c=7,d=23) = 0.000668

You might be interested in
Find all the real cube roots of 0.000064
prohojiy [21]
\sqrt[3]{0.000064}=  \sqrt[3]{ \frac{64}{1,000,000} }= \sqrt[3]{ \frac{4^3}{100^3} }=  \sqrt[3]{ (\frac{4}{100})^3 }= \frac{4}{100}=0.04
6 0
3 years ago
Read 2 more answers
What is 1/5 divided by 1/2
Len [333]
The answer to your question is 0.1
4 0
2 years ago
Read 2 more answers
Pls help quick! I am not sure if i did this right
bogdanovich [222]

Answer: The last option, <u>28</u> minutes

Step-by-step explanation:

    See attached for my work. <em>If you are color blind let me know, I color-coded where I "pulled" numbers from.</em>

    To answer this problem, we can look at the graph. We need to see for how long the black line is above the blue.

7 0
2 years ago
Read 2 more answers
the lenghty of a rectangal is 8 feet more than its width. the pirimete of the rectangle is 72 feet. Find the width
morpeh [17]

Width of the rectangle is 14 ft

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x. Then length = 8 + x. Perimeter = 72 ft.

Perimeter = 2(length + width)

72 = 2 (8 + x + x)

72 = 16 + 4x

4x = 56

x = 56/4 = 14

∴ Width of the rectangle is 14 ft

3 0
3 years ago
If f(x) =2X +4 and g(x) =3X-7; then find g-1(2)​
Fudgin [204]

Answer:

is the question g inverse ??

i have answered for g inversed

g(x)=3x-7

y=3x-7

interchanging the value of x and y

x=3y-7

(x+7)/3=y

g-1(x)=(x+7)/3

so g-1(2)=(2+7)/3

             =9/3

             =3

therefore 3 is the answer

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Help please A B C OR D
    15·2 answers
  • ABC company’s stock dropped from 25 3/8 to 22 1/4 during a one month period of time.. How much did ABC’s stock fall during this
    7·1 answer
  • 2+2-2-4-6-5-4-3-4-5-7-8-8-5-4-2-6-8
    5·2 answers
  • If<br><img src="https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B1%7D%7B%203%7D%20%5Cpi%5E%7B2%7D%20h" id="TexFormula1" title="v =
    15·1 answer
  • Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20
    12·1 answer
  • Sonu's mother is 12 years more than twice Sonu's age. After 8 years,she will be 20 years less than three times Sonu's age. Find
    13·1 answer
  • Giving brainliest!!!!!! If you don’t know the answer please don’t answer it
    14·2 answers
  • Figure ZANY is a square. If ZY = 7x - 3 and ZA = 6x, what is the value of x
    15·1 answer
  • Need help friend request if you asian as in korean and so on cause I'm trying sotem new so don't ask
    10·2 answers
  • Make t the subject of the formula.<br><br> Please help.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!