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brilliants [131]
3 years ago
13

The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 min

utes. What is the probability that a conversation lasts longer than 3 minutes?
Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer:

Let x be a random variable representing the length of a text messaging conversation, then

P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275

jorelis
2 years ago
thank you so much
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for events A and B, P(A)= 3/14 and P(B)= 1/5. Also, P(A and B)= 3/65. Are A and B independent events?
Lady_Fox [76]

No, A and B are not independent events

Step-by-step explanation:

Let us study the meaning independent probability  

  • Two events are independent if the result of the second event is not  affected by the result of the first event
  • If A and B are independent events, the probability of both events  is the product of the probabilities of the both events  P (A and B) = P(A) · P(B)

∵ P(A) = \frac{3}{14}

∵ P(B) = \frac{1}{5}

∴ P(A) . P(B) = \frac{3}{14} × \frac{1}{5}

∴ P(A) . P(B) = \frac{3(1)}{14(5)}

∴ P(A) . P(B) = \frac{3}{70}

∵ P(A and B) = \frac{3}{65}

∵ P(A) . P(B) = \frac{3}{70}

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

Learn more:

You can learn more about probability in brainly.com/question/13053309

#LearnwithBrainly

5 0
3 years ago
Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score
creativ13 [48]

Answer:

436

Step-by-step explanation:

Colin’s score=141

Brian’s score= 141+154

=295

Total score = 295+141

=436

5 0
2 years ago
Read 3 more answers
Can someone help me with this problem please? I'll mark you as brainliest!
leonid [27]

Answer:

put a closed for on -1 and go to the left with an arrow

3 0
3 years ago
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How does the graph of y=|x|+ 4 compare to the graph of the parent function y=|x|?​
neonofarm [45]

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.

3 0
2 years ago
What is the value of x​
Len [333]

Answer:

X=70

Step-by-step explanation:

Interior angles of parallel line sum up to be 180° so:

45+(2x-5)=180

45+2x=185

2x=140

x=70

3 0
3 years ago
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