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3 years ago

HURRY !! I NEED THIS IN 10 mins

Mathematics

2 answers:

labwork [276]3 years ago

7 0

Answer:

false

Step-by-step explanation:

Bas_tet [7]3 years ago

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Answer:

trueeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

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Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a p

Ivenika [448]

Answer:

The probability that the business makes a profit in exactly two of its first three years is 0.628.

Step-by-step explanation:

Given : Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.2 if it did not make a profit in the previous year.

To find : What is the probability that the business makes a profit in exactly two of its first three years?

Solution :

Let X be the event that the business makes profit.

Y be the event that the business doesn't .

The business makes a profit with probability 0.8 in the first year.

For each year thereafter, the business makes a profit with probability 0.9.

It did not make a profit in the previous year is 0.2.

According to question,

The business makes a profit in exactly two of its first three years which is given by, XXY, XYX, YXX

So,

$P(XXY)=0.8\times 0.9\times (1-0.2)$

$P(XXY)=0.8\times 0.9\times 0.8$

$P(XXY)=0.576$

$P(XYX)=0.8\times (1-0.9)\times 0.2$

$P(XYX)=0.8\times 0.1\times 0.2$

$P(XYX)=0.016$

$P(YXX)=(1-0.8)\times 0.9\times 0.2$

$P(YXX)=0.2\times 0.9\times 0.2$

$P(YXX)=0.036$

The probability that the business makes a profit in exactly two of its first three years is given by,

P= P(XXY)+P(XYX)+P(YXX)

P= 0.576+0.016+0.036

P= 0.628

Therefore, The probability that the business makes a profit in exactly two of its first three years is 0.628.

= 0.272

7 0

3 years ago

A spinner is divided into four equal sections labeled 1, 2, 3, and 4. Another spinner is divided into three equal sections label

Romashka-Z-Leto [24]

Since we are asked to compute the probability of two event with "or"
statement, then we will add the probabilities like this:
Denote A the first event and B the second event:
$P(A\cup B)=P(A)+P(B)$
A="Get an even number":
$P(A)= \frac{2}{4}= \frac{1}{2}$
B="Get section B":
$P(B)= \frac{1}{3}$
Conclusion:
$P(A\cup B)=P(A)+P(B)= \frac{1}{2} +\frac{1}{3}\\=\frac{5}{6}$
The probability is 5/6

8 0

3 years ago

Read 2 more answers

the price of a video game was reduced by $60 to 45. By what percentage was the price of the video game reduced?

atroni [7]

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

8 0

3 years ago