Registered events X in time interval t are distributed linearly n = n0

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Registered events X in a time interval t are modeled with a linear equation n = n0 + bt, where n0 is the initial count and b is the rate of increase. For t = 10, n0 = 5, and b = 2, the average number of registered events per day can be calculated, along with the Mean Squared Error (MSE). The probability of registering an event on the 5th and 6th days needs to be determined, as well as the average registered events for those specific days. Clarification on the term "linearly distributed" is sought, as it may relate to statistical distributions like t-distribution or normal distribution. Understanding the context and additional information about the distributions of the parameters is essential for accurate calculations.
amiras
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Registered events X in time interval t are distributed linearly n = n0 + bt. Find probability density function, then t = 10, n0 = 5 and b =2. Find average amount of registered events per day and Mean squared error. Find the probability to register an event per 5th and 6th days. What is the average registered amount of events per 5th and 6th days.

I got this problem with no idea how to begin, please help.
 
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amiras said:
Registered events X in time interval t are distributed linearly n = n0 + bt. Find probability density function, then t = 10, n0 = 5 and b =2. Find average amount of registered events per day and Mean squared error. Find the probability to register an event per 5th and 6th days. What is the average registered amount of events per 5th and 6th days.

I got this problem with no idea how to begin, please help.

Hello amiras and welcome to the forums.

What do you mean by "linearly distributed"? I've never heard that term before.

Usually in linear regression statements, things will have a t-distribution or a normal distribution.

What other information have you been given? Have you been given distributions for the intercept and gradient terms?
 

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