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sergejj [24]
3 years ago
10

In a wireless automatic meter reading system, a base station sends out a wake-up signal to nearby electric meters. On hearing th

e wake-up signal, a meter transmits a message indicating the electric usage. Each message is repeated eight times.
If a single transmission of a message is successful with probability p, what is the PMF of N, the number of successful message transmissions?

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

The product mass function is calculated taking different values of x=1,2,3,4.....

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What is 0.45 expressed as a decimal with a line over 5
antiseptic1488 [7]

Answer:

.45/5 converted to a decimal is 0.09

Step-by-step explanation:

I'm not sure what you mean by "with a line over 5" so I just thought u meant with 5 as the denominator

7 0
3 years ago
The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the vi
ad-work [718]

Answer:

28

Step-by-step explanation:

In this question, the units are just the number of boxes/grid-squares. So count how many boxes they have to walk between each step. You start at the top left location, and go around to all of them counting the boxes they pass.

they should all add up to 28 boxes, or 28 units!

3 0
2 years ago
Find each unknown side length <br> X=<br> Y=
WARRIOR [948]

Answer:

7 i think not sure

Step-by-step explanation:

3 0
3 years ago
How many decimal places are in the product? 0. 053×2. 78.
Genrish500 [490]

Answer:

there are 4 decimal places

Step-by-step explanation:

you must solve the math

4 0
3 years ago
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