Statistics questions

Anonymous
timer Asked: Feb 3rd, 2019
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Question Description

All of them are basic statistics questions, please make sure the answers are correct.

1. Four draws are going to be made at random with replacement from the box Find the chance that 2 is drawn at least once. 1 2 2 2. Repeat the above exercise if the draws are made at random without replacement. Chapter 16 1. a. A die will be rolled some number of times, and you win $1 if it shows an ace . more than 20% of the time. Which is better: 60 rolls or 600 rolls? Explain. b. As in (a), but you win the dollar if the percentage of aces is more than 15%. c. As in (a), but you win the dollar if the percentage of aces is between 15% and 20%. d. As in (a), but you win the dollar if the percentage of aces is exactly 16⅔ %. 2. True or false: if a coin is tossed 100 times, it is not likely that the number of heads will be exactly 50, but it is likely that the percentage of heads will be exactly 50%. Explain. Chapter 17 1. One hundred draws will be made at random with replacement from the box i. How small can the sum of the draws be? How large? ii. The sum is between 650 and 750 with a chance of about 1% 10% 50% 90% 99% Explain. 2. One hundred draws are made at random with replacement from the box The draws come out as follows 45 1 ‘s, 23 2 ‘’s, 32 3 ‘s . 1 6 7 9 1 1 2 3 9 10 For each number below, find the phrase which describes it. Number Phrase 12 observed value for the sum of the draws 45 observed value for the number of 3’s 187 observed value for the number of 1’s 25 expected value for the sum of the draws 50 expected value for the number of 3’s 175 expected value for the number of 1’s 5 chance error in the sum of the draws 32 standard error for the number of 1’s 3. One hundred draws are made at random with replacement from the box 1 i. If the sum of the draws is 321, what is their average? ii. If the average of the draws is 3.78, what is the sum? iii. Estimate the chance that the average of the draws is between 3 and 4. 2 3 4 5 6

Tutor Answer

andythewxman
School: Boston College

Please let me know if you have any questions.

1. Four draws are going to be made at random with replacement from the box
Find the chance that 2 is drawn at least once.

2

2

1
3

3

The chance of drawing a ‘2’ on any given roll is 2/5. Therefore, the chance of NOT drawing a 2 is
3/5. 1-(3/5)^4 = 1 - .1296 = 0.8704 This means that you have a 87.04% chance of drawing a 2 at
least once.

2. Repeat the above exercise if the draws are made at random without replacement.
Without replacement the chance that you draw a ‘2’ is 100%. If you were to draw a 1, 3, 3, in
any order, then on the fourth draw, you would have to draw one of the remaining ‘2’.
Chapter 16
1.

a.

b.
c.
d.

a. A die will be rolled some number of times, and you win $1 if it shows an ace . more
than 20% of the time. Which is better: 60 rolls or 600 rolls? Explain.
b. As in (a), but you win the dollar if t...

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Review

Anonymous
Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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