A guide for a "Pirates of the Caribbean" role-playing game lists the following percentages for the rarity items the players may collect when a "loot box" is opened. Item rarity Percentage Super rare 5% Rare 10% Uncommon 25% Common 60% Sarah thinks that the guide is wrong. To test her suspicions, she opens 80| loot boxes. Her results are shown in the table below Item rarity Frequency Super rare 3 Common 49 Rare Uncommon 24 Total 4 80 a) Calculate the expected frequency for each item. b) How many degrees of freedom are there in this test? c) Conduct a Chi-Squared test with a 1% level of significance to determine whether Sarah's suspicions are justified. USE A CRITICAL VALUE to make your decision

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.