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Marina86 [1]
3 years ago
7

The number of telephone calls that arrive at a phoneexchange is often modeled as a Poisson random variable. Assumethat on the av

erage there are 10 calls per hour. Determine the followingprobabilities:a. exactly 5 calls in one hourb. 3 or fewer calls in one hourc. exactly 15 calls in two hoursd. exactly 5 calls in 30 minutes

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

<u><em>note:</em></u>

<u><em>solution is attached due to error in mathematical equation. please find the attachment</em></u>

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nignag [31]

Answer:

2x+4=18

2x=18-4

2x=14

x=14/2

x=7

25+3x=15

3x=15-25

3x= -10

x= -10/3

x= -3.333

7 0
1 year ago
A food manufacturer uses an extruder (a machine that makes bite size cookies)that yields revenue for the firm at a rate of $200
julsineya [31]

Answer:

$1300

Step-by-step explanation:

The extruder yields a revenue of $200per hour

Y denotes the number of breakdown per day.

The daily revenue generated is given as

R = 1600 - 50Y^2

We have an average of 2 breakdown per day

Lamda = 2

Represent lamda as β

E(Y) = β

E(Y(Y-1)) = β^2

E(Y^2) = E[Y(Y-1)] + E(Y)

= β^2 + β

E(R) = E(1600 - 50Y^2)

= 1600 - 50E(Y^2)

= 1600 - 50(β^2 +β)

Recall that β = lamda = 2

= 1600 - 50(2^2 + 2)

= 1600 - 50(4+2)

= 1600 - 50(6)

= 1600 - 300

= 1300

$1300

The expected daily revenue of the extruder is $1300

3 0
3 years ago
Nathan works the same number of hours each day five days each week he earns $12 per hour last week he earn $420 how many hours d
DaniilM [7]

Answer:

he works 7 hours each day

5 0
3 years ago
Read 2 more answers
Find the value of x in the triangle.
Vinvika [58]

=  > 3x + 15 + 4x + 12 = 180 \\  =  > 7x + 27 = 180 \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  >  \: 7x = 180 - 27 = 153 \:  \:  \:  \:  \\ x =  \frac{153}{7} = 21  \\ x = 21

3 0
2 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Mila [183]

Answer:

12x + 15y=34

x=34/12 = 17/6

y=34/15

____________________

-6x + 5y=3    

x=3/-6 = 1/-2

y= 3/5

Step-by-step explanation:

5 0
3 years ago
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