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Elden [556K]
3 years ago
9

Exactly one of the die is a four

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
Care to explain more ??
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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
The model below can be used to find the quotient of one over two divided by one over six. What is the quotient?
VLD [36.1K]

Answer:

i like it is 1/2 can you make smaller hope this help

Step-by-step explanation:

3 0
3 years ago
Please Help! What’s the Answer??
almond37 [142]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

(-4, 3) and (5, 3)

y_{2} =3\\y_{1} =3\\x_{2} =5\\x_{1} =-4

^^^Plug these numbers into the formula for slope...

\frac{3-3}{5 - (-4)}

\frac{0}{9}

B. 0

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Read 2 more answers
Each sheet of metal on a roof is parallel to the rest of the sheets of metal. If the first sheet of metal is perpendicular to th
sergij07 [2.7K]
They are also perpendicular to the top line of the roof
5 0
3 years ago
Read 2 more answers
Please help me!!!You will get 20 points...
pashok25 [27]

Use the rule of 3, note that we will convert the hours to minutes:

60 - 84
75 - x

(75 * 84) / 60 = x
6,300 / 60 = x
105 = x

105 minutes = 1h 45m


Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
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