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
valina [46]
3 years ago
7

In a class of 100 students, 20 students have hard copy and 80 students have electronic textbooks for the course. If you randomly

choose 10 students in this class, find the approximate probability using a binomial distribution that 3 of them have hard copy texts (round off to second decimal place).
Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

P(X=3)

And if we use the probability mass function we got:

P(X=3)=(10C3)(0.2)^3 (1-0.2)^{10-3}=0.201 \approx 0.20

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of students with hard copy texts", on this case we now that:

X \sim Binom(n=10, p=20/100=0.2)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=3)

And if we use the probability mass function we got:

P(X=3)=(10C3)(0.2)^3 (1-0.2)^{10-3}=0.201 \approx 0.20

You might be interested in
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)
Mars2501 [29]

Answer:

B

Step-by-step explanation:

We are given the function:

\displaystyle f(x) = x^2 + 12x + 36

And we want to determine the value of:

\displaystyle f^{-1}(225)

Let this value equal <em>a</em>. In other words:  

\displaystyle f^{-1}(225) = a

Then by the definition of inverse functions:

\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225

Hence:

\displaystyle f(a) =225 = (a)^2 + 12(a) + 36

Solve for <em>a: </em>

\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}

By the Zero Product Property:

\displaystyle a + 21 = 0 \text{ or } a - 9 = 0

Hence:

\displaystyle a = -21 \text{ or } a = 9

Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

In conclusion, our answer is B.

3 0
3 years ago
What are ascending number's​
Pie

Answer: Hello, Ascending Order. Ascending Order. Arranging numbers (or other items) in ascending order means to arrange them from smallest to largest. Example 1 (with Numbers) The numbers 12, 5, 7, 10, 1, 160 arranged in ascending order are 1, 5, 7, 10, 12, 160.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help me on this
Fed [463]
I don't exactly get what your supposed to do but I thought it like this:
T V
3000 0
3000 4000
5000 4000
5000 8000
the last two are the final answers on how long the ran or it could be Terrel ran 5 kilometers while Victor ran 8 kilometers, but still idk what exactly your supposed to put
5 0
3 years ago
Solve pls brainliest
oee [108]

Answer:

mixed no. 51/10

Improper fraction 5/1/10

3 0
3 years ago
What is 300 as a decimal
Rudik [331]

Answer:

300.00

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • I need the quadratic formula.
    13·1 answer
  • A car dealership has 240 cars in the parking lot and 17.5% of them are red. Of the other 6 colors in the lot each color has the
    9·1 answer
  • Which inequalities are true? Check all that apply.
    15·1 answer
  • A recipe for 40 biscuits uses 2 cups of biscuit mix. How many biscuits are made from 1 cup of biscuit mix?​
    5·2 answers
  • 20 points. i will mark brainliest. pls hurry.
    9·2 answers
  • Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?
    15·1 answer
  • If Michael drove 135 miles on 6 gallons of gas, how far can he drive on 15 gallons of gas?
    9·1 answer
  • Find 5 Rational Numbers Between 1 and 2 using (a+b/2) where a=1 and b=2.
    7·1 answer
  • Solve the system of equations.<br> 13x- 6y= 22<br> X= y +6<br> X=<br> Y=
    15·1 answer
  • Given m||n find the value of X
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!