True/False Quiz for Chapter 7
Topic: Statistics

On-Line Text: Calculus & Statistics

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Finite Mathematics Applied to the Real World

Calculus Applied to the Real World

Finite Mathematics & Calculus Applied to the Real World

1.			A random variable can assign a different number to each possible outcome.
2.			A random variable must assign a different number to each possible outcome.
3.			The sum of all the probabilities P(X=x) for all possible values of x must equal 1.
4.			The histogram of X will be highest at the expected value of X.
5.			The expected value of X is half-way between the largest and smallest possible values of X.
6.			If m is the median of X, then it must be the case that P(X m) = 1/2 and P(X m) = 1/2.
7.			If E(X) is the expected value of X, then E(XE(X)) = 0.
8.			If E(X) is the expected value of X, and x1, x2, . . ., xn are X-scores obtained in an experiment, then   (x1 + x2 + . . . + xn) / n = E(X).
9.			If E(X) is the expected value of X, and x1, x2, . . ., xn are X-scores obtained in an experiment, then   (x1 + x2 + . . . + xn)/n   should be close to E(X) if n is large.
10.			In a sequence of n independent Bernoulli trials, with a probability p of success in each, we expect to get about np successes.
11.			We should expect the actual values of X obtained in experiments to be within one standard deviation away from the mean.
12.			If E(X) is the expected value of X, we should expect the average of |XE(X)| to be one standard deviation.
13.			If E(X) is the expected value of X and s(X) is the standard deviation, we should expect the average of (XE(X))2 to be s(X)2.
14.			For any X, the majority of its values obtained in experiments will lie within one standard deviation of its mean.
15.			For a normal X, the majority of its values obtained in experiments will lie within one standard deviation of its mean.
16.			For any X, at least 3/4 of its values obtained in experiments will lie within 2 standard deviations of its mean.
17.			For a normal X, at least 95% of its values obtained in experiments will lie within 2 standard deviations of its mean.
18.			For any X, at least 88% of its values obtained in experiments will lie within 3 standard deviations of its mean.
19.			For a normal X, at least 99% of its values obtained in experiments will lie within 3 standard deviations of its mean.
20.			A binomial distribution has exactly the same probabilities as a normal distribution.