If a true-false test with 15 questions is given, what is the probability of scoring (A) Exactly 80% just by guessing? (B) 80% or better by just guessing?

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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If a true-false test with 15 questions is given, what is the probability of scoring
(A) Exactly 80% just by guessing?
(B) 80% or better by just guessing?
Transcribed Image Text:If a true-false test with 15 questions is given, what is the probability of scoring (A) Exactly 80% just by guessing? (B) 80% or better by just guessing?
Fuel economy estimates for automobiles built one year predicted a mean of 27.8 mpg and a standard deviation of 6.2 mpg for highway driving. Assume that a Normal
model can be applied. Use the 68 – 95 - 99.7 Rule to complete parts a) through e).
A.
В.
68%,
68%
68%
95%
95%
95%
99.7%
99.7%
99.7%
18.5 21.6 24.7 27.8 30.9 34 37.1
9.2 15.4 21.6 27.8 40.2 52.6 65
9.2 15.4 21.6 27.8 34 40.2 46.4
b) In what interval would you expect the central 99.7% of autos to be found?
Using the 68-95-99.7 rule, the central 99.7% of autos can be expected to be found in the interval from 9.2 to 46.4 mpg.
(Do not round. Type integers or decimals.)
c) About what percent of autos should get more than 34 mpg?
Using the 68-95-99.7 rule, about % of autos should get more than 34 mpg.
(Do not round. Type an integer or a decimal.)
Transcribed Image Text:Fuel economy estimates for automobiles built one year predicted a mean of 27.8 mpg and a standard deviation of 6.2 mpg for highway driving. Assume that a Normal model can be applied. Use the 68 – 95 - 99.7 Rule to complete parts a) through e). A. В. 68%, 68% 68% 95% 95% 95% 99.7% 99.7% 99.7% 18.5 21.6 24.7 27.8 30.9 34 37.1 9.2 15.4 21.6 27.8 40.2 52.6 65 9.2 15.4 21.6 27.8 34 40.2 46.4 b) In what interval would you expect the central 99.7% of autos to be found? Using the 68-95-99.7 rule, the central 99.7% of autos can be expected to be found in the interval from 9.2 to 46.4 mpg. (Do not round. Type integers or decimals.) c) About what percent of autos should get more than 34 mpg? Using the 68-95-99.7 rule, about % of autos should get more than 34 mpg. (Do not round. Type an integer or a decimal.)
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