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
Gnesinka [82]
3 years ago
15

In a survey at a local college, 18% of students reported that they do not own a mobile device with internet capabilities. if 20

students are selected at random, find the probability that at most 5 students don't own a mobile device with internet capabilities.
Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

0.64

Step-by-step explanation:

The probability that randomly selected student doesn't own a mobile device with internet capabilities is p=0.18 and the probability that randomly selected student owns a mobile device with internet capabilities is q=1-p=1-0.18=0.82.

If 20 students are selected at random, the probability that at most 5 students (0 students, 1 student, 2 students, 3 students, 4 students or 5 students) don't own a mobile device with internet capabilities is

Pr=C_{20}^0p^0q^{20}+C_{20}^1p^1q^{19}+C_{20}^2p^2q^{18}+C_{20}^3p^3q^{17}+C_{20}^4p^4q^{16}+C_{20}^5p^5q^{15}=q^{20}+20pq^{19}+190p^2q^{18}+1,140p^3q^{17}+4,875p^4q^{16}+15,504p^5q^{15}\approx 0.6405021423\approx 0.64.

You might be interested in
You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th
Firlakuza [10]

Answer:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

Step-by-step explanation:

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".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.04)

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

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!}

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413  

P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.  

So then the probability that the batch would be accepeted is:

0.375413+0.375413=0.7508

3 0
2 years ago
Plot the vertex and the axis of symmetry of this function on the provided graph.
tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

5 0
2 years ago
2.) Solve 48 = -6<br>4.) Solve 4 + 3.5 = 12.5​
3241004551 [841]
These aren't solvable.
5 0
3 years ago
What is the value of each expression (-3)2
k0ka [10]

First you had to remove parenthesis first.

-3*2=-6

Multiply by the numbers.

3*2=6

Final answer \boxed{=-6}

6/3=2

2*3=6

6/2=3

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

5 0
3 years ago
The sum of 2x+7 and −x+12 is equal to 14 what is x?
Alekssandra [29.7K]

Answer:-5


Step-by-step explanation:

2x+7-x+12=14

x+19=14

x=-5

                 


4 0
3 years ago
Other questions:
  • Find the difference: 7 7/8 - 3 1/4=?*
    10·1 answer
  • A student factors 3x2 – 12 to the following.
    9·2 answers
  • 4+3x=25<br><img src="https://tex.z-dn.net/?f=4%20%2B%203x%20%3D%2025" id="TexFormula1" title="4 + 3x = 25" alt="4 + 3x = 25" ali
    15·1 answer
  • Select the two binomials that are factors of 81x2 -36
    10·1 answer
  • The ratio of chocolate chip cookies, snickerdoodles and oatmeal raisin cookies was 2:5:7. During the class party 12 chocolate ch
    11·1 answer
  • Please help me algebra 2 question
    5·1 answer
  • If (x^6)^y = x^3, then y = ___.<br><br> Show your work!
    14·1 answer
  • Find the length of the hypotenuse.
    7·2 answers
  • PLEASE HELP FAST!! ILL MARK AS BRAINLIEST!! Graphing is the best choice when solving for the following system:
    13·1 answer
  • HELP I NEED THIS DONE FAST
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!