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brilliants [131]
3 years ago
8

A hypothetical wi-fi transmission can take place at any of three speeds depending on the condition of the radio channel between

a laptop and an access point. The speeds are high (h) at 54 Mb/s, medium (m) at 11 Mb/s, and low (l) at 1 Mb/s. A user of the wi-fi connection can transmit a short signal corresponding to a mouse click (c), or a long signal corresponding to a tweet (t). Consider the experiment of monitoring wi-fi signals and observing the transmission speed and the length. An observation is a two-letter word, for example, a high-speed, mouse-click transmission is hm.
A) What is the sample space of the experiment?
B) Let A1 be the event "medium speed connection." What are the outcomes in A1?
C) Let A2 be the event "mouse click." What are the outcomes in A2?
D) Let A3 be the event "high speed connection or low speed connection." What are the outcomes in A3?
E) Are A1, A2 and A3 mutually exclusive? Are A1, A2, and A3 collectively exhaustive?
Physics
1 answer:
Alenkasestr [34]3 years ago
8 0

Answer:

A) The sample space(S) = {hc, mc, lc, ht, mt, lt}

B) Outcome in A1 ={c, t}

C) Outcomes in A2 = {hc, mc, lc}

D) Outcomes in A3 = {hc, ht, lc, lt}

Ei) No, A1, A2 and A3 are not mutually exclusive.

Eii) Yes, A1, A2 and A3 are collectively exhaustive

Explanation:

A) First of all, from the question, there will be 6 elements in the sample space. These are;

- 3{high(h), medium (m), low(l)} which correspond to mouse click(c)

- 3{high(h), medium(m), low(l)} which corresponds to tweet (t).

Thus, we can say that the sample space(S) = {hc, mc, lc, ht, mt, lt}

B) For A1 to correspond to medium speed connection, it means it must have 2 outcomes which are; mouse click (c) and tweet (t)

Thus, A1 ={c, t}

C) For A2 to be the event mouse click (c), it will have 3 outcomes namely;

High click, medium click and low click.

So A2 = {hc, mc, lc}

D) For A3 to be the event "high speed connection or low speed connection, we will have 4 outcomes which are 2 each of high and low speed connection. These are ;

So A3 = {hc, ht, lc, lt}

E) i) For A1, A2 and A3 to be mutually exclusive, it will result in an empty set. This can be expressed as;

A1 ∩ A2 ∩ A3 = Φ

Now, looking at the results for A1, A2 and A3 above, we can see that no single item appears in the 3 of them at the same time.

Thus, A1 ∩ A2 ∩ A3 = Φ

E) ii) For A1, A2 and A3 to be collectively exhaustive, the result of A1 U A2 ∪ A3 has to contain every possible member in the sample space (S).

Thus, we can write it as A1 U A2 ∪ A3 = S

Now, A1 U A2 ∪ A3 = {hc, ht, mc, mt, lc, lt}

Since A1 U A2 ∪ A3 results in a set that contains all the members of the sample space, A1, A2 and A3 are collectively exhaustive

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Answer:

1) Conduction

2)Covection

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5) Convection

6)Radiation

7) Radiation

8)Conduction

9) Conduction

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Hope it helps

4 0
3 years ago
A 10.0 kg weather rocket generates a thrust of 230 NN . The rocket, pointing upward, is clamped to the top of a vertical spring.
blondinia [14]

Answer: 0.2m

Explanation: Firstly only the Rocket's Weight Compress the spring which can be found by

F_r=M_r*g\\F_r=10*9.81\\F_r=98.1N

According to Hooks Law

F_r=k*x\\x=F_r/k\\x=98.1/480\\x=0.2m

The part b and c of this question is done in the attachment

7 0
3 years ago
Cheetahs can accelerate to a speed of 19.6 m/s in 2.45 s and can continue to accelerate to reach a top speed of 27.6 m/s . Assum
marta [7]

Answer:

  • v_{top} = 61.96 \frac{mi}{h}

Explanation:

To express the cheetah's top speed in miles per hour, we just need to find the conversion factor.

We know that the top speed is

v_{top} = 27.7 \frac{m}{s}

So, we want to obtain miles from meters and hours from seconds.

<h3>miles from meters</h3>

First we write the equivalence:

1609.34 \ m = 1 \ mi

Now, we can divide by 1609.34 meters on both sides:

\frac{1609.34 \ m}{ 1609.34 \ m} = \frac{1 \ mi}{ 1609.34 \ m}

The left sides equals 1, so

1 = \frac{1 \ mi}{ 1609.34 \ m}

And this is our conversion factor from meters to miles. Now, we can multiply our top speed by this conversion factor, as the conversion factor equals one, and is dimensionless, the physical meaning will be the same.

v_{top} = 27.7 \frac{m}{s} * \frac{1 \ mi}{ 1609.34 \ m}

v_{top} = 27.7 \frac{m}{s} * \frac{1 \ mi}{ 1609.34 \ m}

v_{top} = 0.0172120 \frac{mi}{s}

This is the top speed in miles per second, now, for obtaining miles per hour:

<h3>hours from seconds</h3>

We can do pretty much the same, first, the equivalence:

1 \ h = 3600 \ s

as the seconds are dividing in the velocity, we know divide by 1 hour.

\frac{1 \ h}{ 1 \ h} = \frac{3600 \ s}{ 1 \ h}

1 = \frac{3600 \ s}{ 1 \ h}

and know we just multiply our top speed by this conversion factor

v_{top} = 0.0172120 \frac{mi}{s}  \frac{3600 \ s}{ 1 \ h}

v_{top} = 61.96 \frac{mi}{h}

8 0
3 years ago
Energy has many different forms: ____________ energy is the energy of motion, for every moving object and living thing; ________
jok3333 [9.3K]

Answer:

1.kinetic

2.potential

3.directly

4.mass

6 0
3 years ago
I need help with these science questions, leave explanations please.
dimaraw [331]
Hello there.

<span>Which acid will undergo 100% dissociation when dissolved in water?

Answer:</span><span> HCL
</span><span>
Option: C

Second Question...not sure.



</span>
6 0
3 years ago
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