Suppose that a course has 3 sections with 50, 70, and 80 students, respectively. (a) We randomly pick one student, and everyone in the same section as that student gets a candy bar. What's the expected number of candy bars we'd give out? (b) We randomly pick one of the 3 sections, and give all of their students a spooky costume. What's the expected number of costumes we'd give out?

Suppose that a course has 3 sections with 50, 70, and 80 students, respectively. (a) We randomly pick one student, and everyone in the same section as that student gets a candy bar. What's the expected number of candy bars we'd give out? (b) We randomly pick one of the 3 sections, and give all of their students a spooky costume. What's the expected number of costumes we'd give out?

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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Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of 52 cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of 14 cards and gotten her suit guesses for each. Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant…