Question

plot the model bin( = 10, = 0.5) plot the model pois( = 5) determine the value of the 25th percentile (quantile) for each distribution.

Answer 1

To find the value of the 25th percentile (quantile) for each distribution, we need to understand the concepts of binomial distribution and Poisson distribution.

Step-by-step explanation:

To find the value of the 25th percentile (quantile) for each distribution, we need to understand the concepts of binomial distribution and Poisson distribution.

The binomial distribution is defined by two parameters: the number of trials (n) and the probability of success on each trial (p). For a binomial distribution with n = 10 and p = 0.5, we can use the binomial distribution formula to calculate the 25th percentile:

P(X ≤ k) ≥ 0.25

Similarly, for a Poisson distribution with λ = 5, we can use the Poisson distribution formula to calculate the 25th percentile:

P(X ≤ k) ≥ 0.25