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
KATRIN_1 [288]
3 years ago
14

If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.

Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

You might be interested in
A chemist recorded the change in temperature of a cooling liquid as −25.5°f over a 1.5 minute period. the temperature fell at a
sineoko [7]
Rate of change <span>a </span>rate<span> that describes how one quantity </span>changes<span> in relation to another quantity. It is also called the slope. To calculate the rate of change in temperature, we use the expression:

Rate of change = change in temperature / change in time
</span>Rate of change = -25.5 / 1.5
Rate of change = -17 °C / min

The negative sign signifies a drop in temperature per minute.
4 0
2 years ago
Read 2 more answers
The height of a window is 0. 6 feet less than 2. 5 times its width. If the height of the window is 4. 9 feet, which equation can
liubo4ka [24]

The equation which is used to determine x, the width of the window is, 2.5x- 0.6 = 4.9.  Option B shows the correct expression for width x of the window.

<h3>What are length and width?</h3>

Length is describing how long is the object. The width is defined as how wide is the object.

Given that the width of the window is 4.9 feet. The length is given as 0.6 feet less than 2.5 times its width.

The height of the window is given as,

H = 4.9

The other height of the window is given as,

H = 2.5 x - 0.6

When equating both equations, we get,

2.5x- 0.6 = 4.9

Therefore, an equation which is used to determine x, the width of the window is, 2.5x- 0.6 = 4.9.  Option B shows the correct expression for width x of the window.

To know more about the length and width, follow the link given below.

brainly.com/question/3133832.

3 0
1 year ago
Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x &lt; a) = 0.9147, find
lapo4ka [179]

The value of a is 72.74.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen.

It is given that

The mean \rm \mu of the distribution is 70

Standard deviation \rm \sigma  is 2

p( x<a) = 0.9147

a = ?

From Z table

For p ( p < 0.9147) , z = 1.37

\rm Z = \dfrac { X - \mu}{ \sigma}

\rm \rm 1.37 = \dfrac { a - 70}{ 2}

a = 70+ 2*1.37

a = 72.74

Therefore the value of a is 72.74.

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
5, 7, 11, 15, 21 is an infinite series. True or False
Gekata [30.6K]

Answer:

True

Step-by-step explanation:

8 0
3 years ago
Someone please help
emmasim [6.3K]

Answer:

50 pages per hour

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the probability of getting either blue or green on a spinner that is 3/10 green and 1/5 blue
    9·1 answer
  • HELP PLEASE BE QUICK
    10·2 answers
  • PLZ HELPPPP I NEED HELP ASPA
    15·2 answers
  • The amount of money in Nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are t
    9·1 answer
  • How can I find the fair share of a set of measurements?
    10·2 answers
  • True or false ? Euclidean geometry is based on the postulates of Euclid
    15·1 answer
  • PLEASE HELP ASAP
    7·1 answer
  • What’s the answer????
    14·2 answers
  • HELP FAST PLEASEEEEEE
    9·1 answer
  • Solve for x.<br> 1/3 (3/2x-3)=-5/6x
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!