Poisson process: suppose we divide the time axis into small periods (0, ∆t), (∆t, 2∆t), (t, t + ∆t), suppose within each interval, we flip a coin independently. suppose the probability of getting a head is λ∆t. let t be the time until the first head. let x be the number of heads within [0, t]

d

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

my answer got deleted but it's a

step-by-step explanation: