STA_1300_01_Midterm_2__Chapters_5___9_(1)

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California Polytechnic State University, San Luis Obispo *

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1300

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Statistics

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Feb 20, 2024

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pdf

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Uploaded by DrSheep4174

STA 1300 Midterm 2 October 26, 2020 Name: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . This exam is open-book and open notes, but you can use a scientific/graphing calculator. Please show all your work, and use of formulas. Try not to leave anything blank; I can still score based off of your thought process. Minimal points will be earned if no work is shown. Tips: Write out every formula used for the most points, label any graphs and plots, if question says to explain, use your words. Question 1 2 3 4 5 Online Total Score 20 10 15 20 20 10 95 1

1) [20 points] The BCD News Channel Forecast has determined that there is a 53% chance of rain for this whole week. Note that a week is 7 days. Answer the following. (a) [4 points] Is this a binomial experiment? If it is, list 3 properties it follows. (b) [3 points] What is the probability that all days of the week will rain? (c) [8 points] What is the probability that three days of the week will rain? (c) [5 points] What is the expected value and the standard deviation of this experiment? 2

2) [10 points] Voters: There are 25 students in Mrs. Bush’s freshman class. On a election day in November, the teacher was wondering who is going to vote. After questioning each student, the school counselor constructed the following table. Vote No Vote Male 6 12 Female 4 3 (a) [2 points] Find the probability that a randomly selected student votes. (b) [3 points] Find the probability that a randomly selected student is female or votes. (c) [3 points] Find the probability that a randomly selected student is neither voting nor is a male. (d) [2 points] Find the probability that a randomly selected student is both a voter and a non-voter. 3

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