P( at least 8 correct ) =
<span>........P( 8 ) + P( 9 ) + P( 10 ) = </span>
<span>........(10 C 8).5^10 + (10 C 9).5^10 + (10 C 10).5^10 = ........56*.5^10 = 0.0546875 </span>
<span>Note: Let C denote correct and I denote incorrect. Suppose that guessing results in 8 correct and 2 incorrect answers. One possible outcome is CCCCCCCCII, for example. We can think of the number of ways of getting exactly 8 correct to be the same as the number of ways of selecting 8 spots for the correct answers times the number of ways of selecting two spots for the remaining two answers. There are (10 C 8) ways to select the positions for the correct answers and precisely one way to select the remaining two positions for the incorrect answers. Therefore, there are there are 10 C 8 = 45 ways to get 8 correct. Similarly, there are 10 C 9 = 10 ways to get 9 correct, and 10 C 10 = 1 way to get all 10 correct.</span>
The answer is 7/10 the common demontior is 10 so the numbers change to 2/10 + 5/10 witch equals 7/10
Step-by-step explanation:
We need to solve each equation.
a. 6c = 30
c = 30/6 = 5
b.
2d-6=12
Adding 6 both sides
2d-6+6=12+6
2d = 18
d = 9
c.
d.
50=14+3m
50-14=3m
36=3m
m = 12
Hence, this is the required solution.
Answer:
D. I would expect the means and standard deviations in the two tests to be about the same, but the standard error in Test B should be smaller than in Test A.
Step-by-step explanation:
Options Includes <em>"A.) I would expect the means, the standard deviations, and the standard errors in Test A and Test B to be about the same.</em>
<em>B.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be smaller than in Test A
.</em>
<em>C.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be bigger than in Test A
.</em>
<em>D.) I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.</em>
<em>E.) would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be larger than in Test A.</em>
<em />
Reason:
Since we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other.
The standard errors would differ, though, since the formula is = Standard deviation/square root of sample size. Since the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
Answer:
9
9
Step-by-step explanation:
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