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Neural Signal Processing
Spring 2025
Midterm Exam – Cover Sheet
You will be provided with the following equations on the midterm exam:
• Poisson distribution
where k = 0, 1, . . . and λ > 0.
• Binomial distribution
where k = 0, 1, . . . , n and 0 ≤ p ≤ 1.
Interpretation: k is the number of heads in n independent coin flips, where p is the probability of a heads.
• Geometric distribution
where k = 0, 1, . . . and 0 ≤ p ≤ 1.
Interpretation: k is the number of tails before the first heads in a sequence of indepen-dent coin flips, where p is the probability of a heads.
• Exponential distribution
where x ≥ 0 and λ > 0.
• Gaussian distribution
x ∈ R, µ ∈ R, and σ2 > 0.
• Gamma distribution
where x > 0, λ > 0, and n is a positive integer.
Interpretation: x is the sum of n independent exponentially-distributed random vari-ables with parameter λ.