Let X Be a Binomial Random Variable with N =

question 23

Essay

Let X be a binomial random variable with n = 25 and p = 0.01.
a. Use the binomial table to find P(X = 0), P(X = 1), and P(X = 2).
b. Approximate the three probabilities in part (a) using the appropriate Poisson distribution.
c. Compare your approximations in part (b) with the exact probabilities found in part (a). What is your conclusion?

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Definitions:

Pancreatic Cells

Cells that make up the pancreas, including those that produce digestive enzymes and hormones like insulin.

Diabetes Insipidus

A rare condition characterized by intense thirst and the excretion of large amounts of urine, not related to diabetes mellitus.

Glucose Transport

The process of moving glucose molecules across cell membranes, typically facilitated by glucose transporter proteins, which is essential for energy production in cells.

Type 2 DM

A chronic condition where the body is unable to use insulin properly, leading to elevated blood sugar levels, known as Type 2 Diabetes Mellitus.