*Q(4.) * A store opens at 8 a.m. From 8 until 10, customers arrive at a Poisson rate of 10 an hour. Between 10 and 12, they arrive at a Poisson rate of 20 an hour. From 12 to 2 the arrival rate increases steadily from 20 per hour at 12 to 24 per hour at 2; and from 2 to 5, the arrival rate drops steadily from 24 per hour at 2 to 10 per hour at 5. Let N(t) represent the total number of customers that enter the store on a given day. Find the distribution of the number of customers that enter the store on a given day.

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*Q(4.) * A store opens at 8 a.m. From 8 until 10, customers arrive at a Poisson rate of 10 an hour.
Between 10 and 12, they arrive at a Poisson rate of 20 an hour. From 12 to 2 the arrival rate
increases steadily from 20 per hour at 12 to 24 per hour at 2; and from 2 to 5, the arrival rate
drops steadily from 24 per hour at 2 to 10 per hour at 5. Let N(t) represent the total number of
customers that enter the store on a given day. Find the distribution of the number of customers
that enter the store on a given day.
Transcribed Image Text:*Q(4.) * A store opens at 8 a.m. From 8 until 10, customers arrive at a Poisson rate of 10 an hour. Between 10 and 12, they arrive at a Poisson rate of 20 an hour. From 12 to 2 the arrival rate increases steadily from 20 per hour at 12 to 24 per hour at 2; and from 2 to 5, the arrival rate drops steadily from 24 per hour at 2 to 10 per hour at 5. Let N(t) represent the total number of customers that enter the store on a given day. Find the distribution of the number of customers that enter the store on a given day.
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