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MA 110 Test 2: Probability and Statistics, Exercises of Mathematical Methods for Numerical Analysis and Optimization

Baddi University of Emerging Sciences and TechnologiesMathematical Methods for Numerical Analysis and Optimization

The second test for ma 110, a college-level course in probability and statistics. The test covers various topics such as calculating probabilities, drawing relative frequency diagrams, finding means and standard deviations, and solving systems of linear equations. Students are required to answer questions related to flipping coins, dealing hands in poker, rolling dice, and analyzing data. The test consists of 9 questions, each worth 11 points.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-91
§3.2 – 5.4, 7.0 – 7.2 Test #2 score
Name:
18 November 2000
1. If a pair of fair coins is flipped, what is the probablility of getting exactly one heads?
(11 points)
2. Calculate the probability of being dealt a flush (all cards having the same suit) in a standard
52-card deck. (11 points)
3. We play a dice game by rolling a pair of dice. If the sum of the dice is evenly divisible by
5, I pay you $10; otherwise, you pay me $2. What are your expected winnings per game?
(11 points)
pf3

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MA 110-

§3.2 – 5.4, 7.0 – 7.

Test

score

Name:

18 November 2000

  1. If a pair of fair coins is flipped, what is the probablility of getting exactly one heads? (11 points)
  2. Calculate the probability of being dealt a flush (all cards having the same suit)in a standard 52-card deck. (11 points)
  3. We play a dice game by rolling a pair of dice. If the sum of the dice is evenly divisible by 5, I pay you $10; otherwise, you pay me $2. What are your expected winnings per game? (11 points)

MA 110 Test 2 page 2

  1. Draw a relative frequence diagram for the dataset {0.1, 0.5, 1.2, 1.5, 0.9, 1.3, 1.7, 0.4, 0.7, 1.3, 1.7}. Use 4 data groups each of width 0.5 starting at 0. (11 points)
  1. Find the mean and standard deviation of the sample { 1 , 4 , 5 , 4 , 3 , 6 } (11 points)
  2. A population is normally distributed with mean 36.8 and standard deviation 5.5. Find the probability p(x < 40_._ 0 ). (11 points)