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
Lower quartile of 6 8 10 12 14 15 15 20
lilavasa [31]

Answer: The lower quartile is 6

Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.

5 0
3 years ago
Five less than the product of 14 and carlos's age
lesya [120]
Is this the full question that is stated?

6 0
3 years ago
Which number line shows the solution set for StartAbsoluteValue 2 p minus 4 EndAbsoluteValue greater-than-or-equal-to 6?
maks197457 [2]

Answer:

can u add a picture?

Step-by-step explanation:

8 0
2 years ago
Braylon has a board 18 feet long. He wants to cut it into pieces that are 3 feet long. How many pieces will he have after he mak
LUCKY_DIMON [66]
The answer is 6.
Division is the opposite of multiplication and 3x6 is 18
7 0
3 years ago
HELP ME!! plz? Combing like terms.
Bad White [126]

T: 8x+19

7x-2(4-2x)+6(5-x)-x+2-(6x+5) = 7x-8+2x+30+6x-x+2-6x-5 = 8x+19

Y: 56-8x

9-(-2-3x)+4(-x+6)-x+12-3(2x-3) = 9+2+3x-4x+24-x+12-6x+9 = 56-8x

5 0
3 years ago
Other questions:
  • Assume that the probability of any newborn baby being a boyboy is one half 1 2 and that all births are independent. if a family
    14·1 answer
  • Which expression can you simplify by combining like terms?
    15·1 answer
  • A number to the 9 power divided by the same number to the 6 power equals 27 what is the number
    12·1 answer
  • Which set of ordered pairs represents a function?
    13·1 answer
  • (Complex Numbers)
    13·1 answer
  • Rock ran 3/4 of an hour on Wednesday for a distance of 4.2 miles.On Thursday, he ran for 1 hour at the same speed he ran on Wedn
    9·1 answer
  • Simplify: -2(a-3b)-4a+7b
    9·1 answer
  • Can someone help me <br><br> 1.3x-338
    12·1 answer
  • Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest ra
    15·1 answer
  • I need to know how these triangles are congruent​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!