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joja [24]
3 years ago
13

A and B are two events.

Mathematics
2 answers:
Vesna [10]3 years ago
5 0
In order to determine if the events are independent or not we need to find the conditional probabilities.

The conditional probability of event A, given event B is denoted as P(A|B)

P(A|B)= \frac{P(A*B)}{P(B)}

P(A*B) indicates P(A and B)

Using the values, we get:

P(A|B)= \frac{0.28}{0.8}=0.35

Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.

Therefore, the correct option is the second one.
2. A and B are not independent events because P(A∣∣B)≠P(A)
labwork [276]3 years ago
5 0

Answer:

Therefore, the correct option is the second one.

2. A and B are not independent events because P(A∣∣B)≠P(A)

Step-by-step explanation:

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Find the area of a rectangle with the given base and height<br> 5ft,6 in
anygoal [31]

Answer:

360 inch

Step-by-step explanation:

Step 1: Converting

6inch = 6inch

5ft = 60inch

Step 2: Finding the area

Area of a rectangle = L x B

A = 6 x 60

A = 360inch

8 0
3 years ago
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Rasek [7]

Answer:

D.

Step-by-step explanation:

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7 0
3 years ago
Of 585 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared
Dafna1 [17]

Answer:

a) The 99% confidence interval is from 14.8% to 23.2%.

b) The confidence interval tells us that the true proportion of mislabeled is within 14.8% and 23.2%, with a 99% confidence. In other words, if we take samples of the same size, 99% of the samples will have a proportion within 0.148 and 0.232.

c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.

The only criticism that could be analyzed is to see if the sample is representative of the population.

Step-by-step explanation:

a) We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.19.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.19*0.81}{585}}\\\\\\ \sigma_p=\sqrt{0.000263}=0.016

The critical z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.576 \cdot 0.02=0.042

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.19-0.042=0.148\\\\UL=p+z \cdot \sigma_p = 0.19+0.042=0.232

The 99% confidence interval for the population proportion is (0.148, 0.232).

5 0
3 years ago
I need your help guys ....pls answer it correctly I will mark you as a brainlist ❤️....20 minutes left for me to submit my assig
mart [117]

Answer:

If the lines are parallel, then the corresponding angles will be equal. In the given, they are not equal.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
4+7x=-24 how do you solve this algebraic expression
Lady_Fox [76]

Answer:

In order to solve this algebraic expression, you need to get the variable x by itself

Step 1: subtract 4 from each side

4-4+7x=-24-4 (4-4=0, those cancel out) (-24-4=-28)

7x=-28

Step 2: divide both sides by 7

7x/7=-28/7 (7x/7=x) -28/7=-4)

Your final answer would be x=-4

Hope this helps ;)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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