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
dlinn [17]
2 years ago
5

According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

enter website, December, 15, 2014). Suppose that 10 adults in the United States are selected randomly.
A. What is the probability that all of the adults use the Internet (to 4 decimals)?

B. What is the probability that 3 of the adults do not use the Internet (to 4 decimals)? If you calculate the binomial probabilities manually, make sure to carry at least 4 decimal digits in your calculations.

C. What is the probability that at least 1 of the adults do not use the Internet (to 4 decimals)?
Mathematics
1 answer:
Ivahew [28]2 years ago
3 0

Answer:

a)P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

b) P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

c) P(X \geq 1) = 1- P(X

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

So then we have:

P(X \geq 1) = 1- P(X

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, on this case we now that:

X \sim Binom(n=10, p=0.15)

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!}

Part a

For this case we want this probability:

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

Part b

For this case we want this probability:

P(X=3)

And using the probability mass function we got:

P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

Part c

For this case we want this probability:

P(X \geq 1)

And we can use the complenet rule and we got:

P(X \geq 1) = 1- P(X

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

So then we have:

P(X \geq 1) = 1- P(X

You might be interested in
HURRY PLEASE! Which expression is equivalent to ^4sqrt6/^3sqrt2?<br><br> (options in the image)
melamori03 [73]

Answer:

According to the given problems the one that gets closer is the first option. ^12sqrt27/2

Step-by-step explanation:

<em>Simplify the radical by breaking the radicand up into a product of known factors.</em>

The answer for the first question is 12 √ 27 / 2


6 0
3 years ago
Read 2 more answers
HELP ASAP!!Solve for x. Enter the solutions from least to greatest.
telo118 [61]
X^2 - 5x - 14 = 0

what multiplies to negative 14 and adds to negative 5? -7 and positive 2.

(x - 7) (x + 2) = 0

Lesser x = -2
Greater x = 7
4 0
2 years ago
32 markup 12.5% retail price
Leya [2.2K]

Answer: 36 is the correct answer.

12.5% = .125

32 x .125 = 4

32 + 4 = 36

Step-by-step explanation: I hope this helped you out.

6 0
2 years ago
Solve the proportion: 12/R = 5/60
salantis [7]
I was to tired to write it down

6 0
3 years ago
Read 2 more answers
A researcher gathers a sample of n=89 people to try a new
muminat

Answer:

24

Step-by-step explanation:

+#;$;_;_:;+$hshshsbbsns

5 0
2 years ago
Other questions:
  • (b) Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations, and then
    12·1 answer
  • A triangle has a side with 3cm and a side with 2cm, what's the other side?
    6·2 answers
  • 1.45x + 1.25y =70.85 <br><br> x + y = 53
    7·1 answer
  • Find the value of x in the figure.
    8·1 answer
  • 2х – у = 7<br>3х + y = 3​
    5·2 answers
  • Please help, this is the last day to turn in everything!
    13·2 answers
  • A student sells wrapping paper for $5 per roll and sells 40 rolls. The cost to make the wrapping paper rolls is $3. What is the
    5·1 answer
  • Describe a similarity transformation that maps the preimage to the images
    6·2 answers
  • Mrs. Lovejoy and Christi spent the day baking cookies. When they divided them into 8 stacks, they had 14 cookies in each stack.
    11·1 answer
  • Write 2 / 3 of 4 as a mixed number. ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!