1a) Let E be the event that a corn crop has an infestation of earworms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.18, P(B) = 0.11, and P(E and B) = 0.06. Find the probability that a corn crop has either an earworm infestation, a corn borer infestation, or both. b) If a menu has a choice of 4 appetizers, 5 main courses, and 5 desserts, how many dinners are possible if each includes one appetizer, one main course, and one dessert? c) A coin is tossed five times. Find the probability of getting exactly three heads. Please answer all parts of the question. a-c.

1a) Let E be the event that a corn crop has an infestation of earworms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.18, P(B) = 0.11, and P(E and B) = 0.06. Find the probability that a corn crop has either an earworm infestation, a corn borer infestation, or both. b) If a menu has a choice of 4 appetizers, 5 main courses, and 5 desserts, how many dinners are possible if each includes one appetizer, one main course, and one dessert? c) A coin is tossed five times. Find the probability of getting exactly three heads. Please answer all parts of the question. a-c.

Name: 1a) Let E be the event that a corn crop has an infestation of earworms
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Description: 1a) Let E be the event that a corn crop has an infestation of earworms, and let B be the event that a corn crop has an infestation of corn borers.Suppose that P(E) = 0.18, P(B) = 0.11, and P(E and B) = 0.06. Find the probability that a corn crop has

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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b) If a menu has a choice of 4 appetizers, 5 main courses, and 5 desserts, how many dinners are possible if each includes one appetizer, one main course, and one dessert?

c) A coin is tossed five times. Find the probability of getting exactly three heads.

Please answer all parts of the question. a-c.

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