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ella [17]
3 years ago
8

During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minut

es.a. What is the expected number of calls in one hour?b. What is the probability of three calls in five minutes?c. What is the probability of no calls in a five-minute period?
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:

Step-by-step explanation:

This is a poisson distribution. Let x be a random representing the number of calls in a given time interval.

a) the expected number of calls in one hour is the same as the mean score in 60 minutes. Thus,

Mean score = 60/2 = 30 calls

b) The interval of interest is 5 minutes.

µ = 5/2 = 2.5

We want to determine P(x = 3)

Using the Poisson probability calculator,

P(x = 3) = 0.21

c) µ = 5/2 = 2.5

We want to determine P(x = 0)

Using the Poisson probability calculator,

P(x = 0) = 0.08

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3 years ago
David's bowling score is 6 less than 2 times Aaron's score. The sum of their scores is 84. Find the score of each student. Use t
Y_Kistochka [10]

Answer:

Aaron's bowling score is 30

David's bowling score is 54

Step-by-step explanation:

The variable representing Aaron's score is = a

The variable representing David's bowling score = d

The sum of their scores is 84.

= a + d = 84...... Equation 1

David's bowling score is 6 less than 2 times Aaron's score.

d = 2a - 6

Substituting 2a - 6 for d in Equation 1

a + 2a - 6 = 84

3a - 6 = 84

3a = 84 + 6

3a = 90

a = 90/3

a = 30

Hence, Aaron's bowling score is 30

d = 2a - 6

d = 2(30) - 6

d = 60 - 6

d = 54

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8 0
2 years ago
30 is 60%of what number?
Rom4ik [11]

Answer: 50


Step-by-step explanation:


Step 1: 60% = .60

Step 2: 30 = .60Y

Step 3: Divide both sides of the equation by .30 to isolate the variable Y.

30/.60 = .60/.60Y

50=Y

Therefore, 30 is 60% of 50.

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3 years ago
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Nadusha1986 [10]
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