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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 statistics course. The test covers various probability concepts such as sample space, independent events, mutually exclusive events, relative frequency histograms, mean, median, variance, and standard deviation. Students are required to find probabilities, calculate statistics, and answer questions related to these concepts.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-06
§3.1 – 4.3 Test #2 score
Name:
20 November 2001
1. Three coins are tossed. Write out the sample space Sof all outcomes. Find the probability
that all three coins match. Next, find the probability that exactly two of the three coins
match. (10 points)
2. If two dice are rolled, find the probability that the sum of the dice is 9. (10 points)
3. Find the probability of being dealt all cards in the same suit in a five-card hand. Express
your answer as a decimal number. (10 points)
4. We play a lottery in which three numbers in the range 1 through 12 are selected. Find
the probability of winning this lottery, i.e., the probability of picking the three correct
numbers. Then find the probability of picking exactly two of the three correct numbers.
(10 points)
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Download MA 110 Test 2: Probability and Statistics and more Exercises Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity!

MA 110-

Test

score

Name:

20 November 2001

  1. Three coins are tossed. Write out the sample space S of all outcomes. Find the probability that all three coins match. Next, find the probability that exactly two of the three coins match. (10 points)
  2. If two dice are rolled, find the probability that the sum of the dice is 9. (10 points)
  3. Find the probability of being dealt all cards in the same suit in a five-card hand. Express your answer as a decimal number. (10 points)
  4. We play a lottery in which three numbers in the range 1 through 12 are selected. Find the probability of winning this lottery, i.e., the probability of picking the three correct numbers. Then find the probability of picking exactly two of the three correct numbers. (10 points)

MA 110 Test 2 page 2

  1. You and two of your friends decide to play a game. Each of you flips a coin simultaneously. If all three coins match, each of your friends pays you $10. If the coins don’t all match, you pay each of your friends $4. What is the expected value of this game from your point of view? Would this be a profitable game for you to play repeatedly? (10 points)
  2. In a survey of people concerning their preference of cranberry sauce used in a traditional American Thanksgiving meal, we find that 125 of the men prefer jellied cranberry sauce, 20 men prefer whole-berry sauce, and 5 men have no preference, whereas, 160 of the women prefer whole-berry sauce, 30 prefer jellied sauce, and 10 have no preference. Find the probability that a randomly selected person in the survey prefers whole-berry cranberry sauce. Then find the probability that a person from the survey is a man, given that the person prefers jellied cranberry sauce. (10 points)
  3. In a roll of two dice, let A be the event that the sum of the two dice is 6, and let B be the event that one of the dice is a 4. Are events A and B independent? Are they mutually exclusive? Explain. (10 points)