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Scientists developed a maze for rats that has 5 compartments and each compartment had a different food. In each trial, scientists would record which

a) Determine with explanation, the following below: i. Is the above experiment Discrete or Continuous? Explain ii. What type

b) What would be the probability that the rats entered a compartment. Would you say the outcomes from each trial is equally l

c) What is the expected count of arrivals to the compartments?

d) They want to perform a ( chi^{2} ) goodness-of-fit test to determine if these results suggest that rats get to one spec

Scientists developed a maze for rats that has 5 compartments and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials Compartment A B C D E Observed arrivals 191 203 207 199 200 a) Determine with explanation, the following below; i. Is the above experiment Discrete or Continuous? Explain 11. What type of distribution does the random variable in the above experiment approximate? b) What would be the probability that the rats entered a compartment. Would you say the outcomes from each trial is equally likely and why? c) What is the expected count of arrivals to the compartments? d) They want to perform a x goodness-of-fit test to determine if these results suggest that rats get to one specific compartment more often than the other compartments.

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