homework_1 - 2028: Basic Statistical Methods Homework 1...

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Unformatted text preview: 2028: Basic Statistical Methods Homework 1 This homework is due Thursday September 1st in class BEFORE class starts . Late papers will not be accepted. Please do not turn in any papers to any mailbox. Please remember to staple if you turn in more than one page. You must SHOW ALL WORK. If you do not show your work, you may not receive full credit. I Random Variables 1 The number of arrivals at the drive-up window of a local bank has a Poisson distri- bution with a mean of = 10 arrivals per hour. i. What is the distribution of X , the time between successive arrivals at the drive-up window. ii. If 15 minutes have passed since the last customer arrived at the drive-up window, what is the probability that the next customer will not arrive within the next 15 minutes (i.e. it will take more than an additional 15 minutes to see the next customer). Guidance: Be careful with the units. Note that in the problem description it says per hour . 2 The firing rates of 100 neurons are recorded in a particular region of the brain of a monkey under each of two experimental conditions. The number of neurons in which the firing rate is greater in Condition 1 than in Condition 2 is counted. Suppose thatthe firing rate is greater in Condition 1 than in Condition 2 is counted....
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homework_1 - 2028: Basic Statistical Methods Homework 1...

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