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
lilavasa [31]
3 years ago
14

We assume that the outcomes of successive trials in a binomial experiment are

Mathematics
1 answer:
NeTakaya3 years ago
6 0

The <em>correct answer</em> is:


Independent.


Explanation:


The criteria for binomial experiments are:


A fixed number of trials.;

Each trial is independent of the others.;

There are only two outcomes; and

The probability of each outcome remains constant from trial to trial.


This means the outcomes are constant and independent.

You might be interested in
Expand using distribution: 2x(x+1)(x-5)
morpeh [17]

Answer:

2x^3-8x^2-10x

Step-by-step explanation:

2x(x+1)(x-5)\\\\2x(x^2-4x-5)\\\\2x^3-8x^2-10x

5 0
2 years ago
Simplify:<br> 64 ÷ 8 + 6 (2)<br><br> A. 23<br> B. 20<br> C. 17
Iteru [2.4K]

Answer:

B. 20

Step-by-step explanation:

64 ÷ 8 + 6(2)

64 ÷ 8 + 12

8 + 12

20

6 0
3 years ago
Read 2 more answers
We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty
maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.

A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.

The probability mass function of a Binomial random variable <em>X</em> is:

P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...

(1)

Compute the expected value of <em>X</em> as follows:

E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of <em>X</em> ≥ 45 as follows:

P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

                =\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0
3 years ago
Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work
STALIN [3.7K]
Paralell to 2x+y=-5
means it has same slope
means it is in form
2x+y=c where we have to find c
convert to slope intercept
minus 2x both sides

xint of 2
xint is where th eline crosses the x axis or where y=0, x=2

2(2)+0=c
2(2)=c
4=c


the equation is 2x+y=4
4 0
3 years ago
A cylindrical rain barrel has a radius of 2 feet and holds a total of 30 cubic feet of water. How tall is the rain barrel? Use 3
BabaBlast [244]
B. 2.39 feet. xoxo
pls rate my answer and mark me:))
3 0
3 years ago
Read 2 more answers
Other questions:
  • Company A offers unlimited minutes and hacks for a flat fee of $50 per month and charges $1.50 for each GB of data used per mont
    11·1 answer
  • Please help and show all work thank you.
    6·1 answer
  • Casey shared a pizza with some friends. They each ate 1/3 of the pizza. How many people shared the pizza?
    9·2 answers
  • Each statement describes a transformation of the graph of y = log2x.
    15·2 answers
  • Max travels to see his brothers family by car.He drives 216 miles in 4 hours.What is his rate in miles per hour? Use a double nu
    13·2 answers
  • could anyone give a simple answer? sorry if im asking so many questions, im just confused. Which table of ordered pairs represen
    12·2 answers
  • 72<br> as a product of prime factors.
    14·1 answer
  • A 37 bag sample had a mean of 421 grams. Assume the population standard deviation is known to be 29. A level of significance of
    10·1 answer
  • What are the four next multiples of one over ten
    13·2 answers
  • Quick I need it help
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!