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
8090 [49]
3 years ago
6

In a class of 100 students, 25 students have hardcover and 75 students have paperback textbooks for the course. If you randomly

choose 10 students in this class, fnd the probability that 2 of them have hardcover texts in the following ways: a. the exact probability b. approximate probability using a binomial distribution
Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

h = prob of hardcover = .25

p = prob of paperback = .75

a.

Prob(2 hardcover of 10) = (10 choose 2) (.25)^2 (.75)^8

= ( 10(9)/2 ) (1/4^10) (1^2 3^8)

= 295245/1048576

≈ 28.15%

b.

I think I just did the binomial distribution.  We can approximate it as a normal distribution. The mean and variance in this case are computed thus:

N=10, n=2

μ = Np = 2.5

σ² = Npq = 1.875

σ = 1.3693

P(n) = 1/(σ√2π)e^-(n-μ)/(2σ²)

P(2) = 1/(1.3693√2π)e^-(2 - 2.5)/(2 (1.875))

P(2) = 33.3%

Pretty good, not great.

You might be interested in
Right answer gets brainlist
RUDIKE [14]

Answer:

1244

Step-by-step explanation:

real answer is 1244.07

8 0
3 years ago
Read 2 more answers
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*
goldenfox [79]

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

7 0
3 years ago
A number x increased by 8 is greater than 26
Julli [10]

Answer:

x+8<26

Hope this helped!

3 0
3 years ago
Simplify the slope of AC
Lemur [1.5K]

Answer:

Slope\:\: \overline{AC} =1

Step-by-step explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

  • Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

  • Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1

Slope\:\: \overline{AC} =1

6 0
3 years ago
Answer quick for brainliest
erma4kov [3.2K]

Answer:

equation: y - 730 = 95*(x - 4)

or  y = 95x + 350

Step-by-step explanation:

190/2 = slope

point  (4, 730)

y - 730 = 95*(x - 4)

5 0
3 years ago
Other questions:
  • To fill the 18 gallon gas tank in samantha's car, it cost her $49.1. Find the cost per gallon
    5·1 answer
  • How do you get the x intercepts?
    12·1 answer
  • Which pairs of angles in the figure below are vertical angles?<br>Check all that apply.<br>​
    8·2 answers
  • Strontium 90 is a radioactive material that decays according to the function Upper A (t )equals Upper A 0 e Superscript negative
    14·1 answer
  • There are 24 students in a math course at your school. How many tables must be put together to seat a group of six students? How
    15·2 answers
  • BRAINLIEST IF RIGHT FOR SURE
    15·2 answers
  • Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read
    8·1 answer
  • Write the fraction in simplest form. 3/9 *​
    11·1 answer
  • What is the volume of a cylinder with a radius of 13yd and height of 8yd
    7·1 answer
  • Determine the measure of angle b, and describe the relationship between the two angles shown.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!