Calculate the probabilities given the probability distribution. Assume that the mean for the Normal, Poisson, and Exponential Distributions is 17.5. The standard deviation for the normal distribution is 4. For the Binomial Distribution, assume that p=0.175 and n = 1000.
Normal
Binomial
Poisson
Exponential
P(10 < X < 20)
P(10 ⤠X ⤠20)
P(X = 15)
P(X = 14.5)
The CDF for the exponential distribution is: P(0 < X) = 1 - e^((-x)/μ)
For those using TI-83 calculators:
NCDF(low, high, mean, std err)
BCDF(# trials, P(event), # events)
PCDF(mean, # events)