MAT 152 Lab – Chapter 6 PDF
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This document is a set of problems related to probability distributions. The problems cover topics like calculating means, probabilities of events happening multiple times, understanding the expected value, random spins of a roulette wheel etc.
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MAT 152 Lab – Chapter 6 1 - 843 Newlywed couples were surveyed and asked what is the ideal number of children, the results are in a frequency distribution below. Construct a discrete probability distribution, round to 4 places: # of kids frequency X P(x) 0...
MAT 152 Lab – Chapter 6 1 - 843 Newlywed couples were surveyed and asked what is the ideal number of children, the results are in a frequency distribution below. Construct a discrete probability distribution, round to 4 places: # of kids frequency X P(x) 0 12 1 33 2 521 3 190 4 58 5 21 6 8 2 – Compute the mean of the random variable BY HAND and show your work. Explain what this means: 3 – Would it be unusual for a couple to have 5 kids? Why or why not? A roulette wheel has 38 numbers. If you bet $1 on a single number, and if you land on that number you win $35 (they give you $34 and you keep your bet), if it lands on any other number, you lose your bet. 4 – What is the probability of winning a single random spin of the wheel? 5 – If you spun this wheel 15 times, what is the probability that you win 1 spin (4 decimal places)? 6 – If you spun this wheel 15 times, what is the probability that you win 4 spins (4 decimal places)? 7 – For the bet of a single number, what is the expected value? 8 – If you spin 50 times (betting on the same number all 50 times) what is the expected outcome?
