1. For a coin with 0.5 probability of tossing heads, which result below more clearly explains the law of large numbers? O After 10 tosses we get 6 heads (60%). After 100 tosses we get 58 heads (60%). O After 10 tosses we get 8 heads (80%). After 100 tosses we get 58 heads (80%). After 10 tosses we get 5 heads (50%). After 100 tosses we get 58 heads (78%). After 10 tosses we get 8 heads (80%). After 100 tosses we get 58 heads (58%). O After 10 tosses we get 2 heads (20%). After 100 tosses we get 18 heads (18%).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Hi, I need help getting the answer to, and understanding these problems. Thanks

1. For a coin with 0.5 probability of tossing heads,
which result below more clearly explains the law of
large numbers?
After 10 tosses we get 6 heads (60%). After 100
tosses we get 58 heads (60%).
After 10 tosses we get 8 heads (80%). After 100
tosses we get 58 heads (80%).
After 10 tosses we get 5 heads (50%). After 100
tosses we get 58 heads (78%).
After 10 tosses we get 8 heads (80%). After 100
tosses we get 58 heads (58%).
After 10 tosses we get 2 heads (20%). After 100
tosses we get 18 heads (18%).
9. If a sample is large enough that np > 10 and n(1-p) >
10 are both true, then the probability of a result can be
estimated using the z-score. If this z-score method is
used for a sample with n = 40 trials, and p = 0.45, then
what value of x must be used in the z-score calculation
to estimate P(x > 29)?
O
6
29
28
30
5. We have tossed a coin 10 times. We say S = success
= heads and there were 4 heads in the 10 tosses.
Which is the correct answer for ?
4
29.5
28.5
0.6
0.4
10
Transcribed Image Text:1. For a coin with 0.5 probability of tossing heads, which result below more clearly explains the law of large numbers? After 10 tosses we get 6 heads (60%). After 100 tosses we get 58 heads (60%). After 10 tosses we get 8 heads (80%). After 100 tosses we get 58 heads (80%). After 10 tosses we get 5 heads (50%). After 100 tosses we get 58 heads (78%). After 10 tosses we get 8 heads (80%). After 100 tosses we get 58 heads (58%). After 10 tosses we get 2 heads (20%). After 100 tosses we get 18 heads (18%). 9. If a sample is large enough that np > 10 and n(1-p) > 10 are both true, then the probability of a result can be estimated using the z-score. If this z-score method is used for a sample with n = 40 trials, and p = 0.45, then what value of x must be used in the z-score calculation to estimate P(x > 29)? O 6 29 28 30 5. We have tossed a coin 10 times. We say S = success = heads and there were 4 heads in the 10 tosses. Which is the correct answer for ? 4 29.5 28.5 0.6 0.4 10
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