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ohaa [14]
2 years ago
15

Ques

Mathematics
1 answer:
Olin [163]2 years ago
4 0

Answer:

the mode is 20

it has the highest frequency

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businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message
KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: \lambda=\frac{62.7}{24}= 2.6125.

The probability of a random variable can be computed using the formula:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

              = 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

             =1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0
3 years ago
How many ways can you arrange the letters in the word Vacuum?
Flura [38]

Answer:

The answer is 360 ways

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, sh
Aleks [24]

Answer:

8 flowers in each bunch

Step-by-step explanation:

From this information, we can make the equation:

23b-46=138

Where b is the number of flower in each bunch.

23b-46=138

<em>Add 46 to both sides</em>

23b=184

<em>Divide both sides by 23</em>

b=8

There are 8 flowers in each bunch.

6 0
2 years ago
Read 2 more answers
How do you do this??? 5x+9y+3x-2y this is a algebraic exercise plz help!!!
densk [106]
Combine like terms.

4. 5x+9y+3x-2y
8x+7y

7. 22u-6u+4t+4t-8u
8u+8t

10. 23m+4n-3m
20m+4n
6 0
3 years ago
If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?
OLEGan [10]
94 x 50 = 4700 square feet
8 0
3 years ago
Read 2 more answers
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