g i) Suppose that the number of bacteria colonies in 1 ml of a liquid follows a Poisson distribution with a mean of 3.6 colonies. Find the probability that there are more than 4 bacteria colonies in 2 ml of liquid. i) Suppose there are 10 multiple choice questions in a Biology quiz. Each question has 4 possible answers, and only one of them is correct. Find the probability of having at most 3 correct answers if a student attempts to answer every question at random.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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a i) Suppose that the number of bacteria colonies in 1 ml of a liquid follows a Poisson distribution
with a mean of 3.6 colonies. Find the probability that there are more than 4 bacteria colonies
in 2 ml of liquid.
ri) Suppose there are 10 multiple choice questions in a Biology quiz. Each question has 4
possible answers, and only one of them is correct. Find the probability of having at most 3
correct answers if a student attempts to answer every question at random.
Transcribed Image Text:a i) Suppose that the number of bacteria colonies in 1 ml of a liquid follows a Poisson distribution with a mean of 3.6 colonies. Find the probability that there are more than 4 bacteria colonies in 2 ml of liquid. ri) Suppose there are 10 multiple choice questions in a Biology quiz. Each question has 4 possible answers, and only one of them is correct. Find the probability of having at most 3 correct answers if a student attempts to answer every question at random.
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