Week 21 - Probability Theory, Conditional Probability, Bayes Theorem,
Independence
Section 6.5
TEST PREPARATION PROBLEMS
1) By adding up probabilities of the individual outcomes, we nd that
Pr(A) = 0.
Week 22 - PDFs and CDFs, Measures of Center and Spread
Section 6.7
TEST PREPARATION PROBLEMS
7. f (x) = 2x for 0 x 1. The expected value can be written in several forms, E(X), or
X, but will be calcul
Week 22 - PDFs and CDFs, Measures of Center and Spread
Section 6.9
TEST PREPARATION PROBLEMS
7. The variable has the distribution
10
0
x=
This gives a mean of X = 10
MAD(x) =
Var(x) =
Std dev.(x) =
1
Week 22 - PDFs and CDFs, Measures of Center and Spread
Section 6.8
TEST PREPARATION PROBLEMS
5. The histogram is symmetric around the peak at 5, so the mean, median and mode are
equal to 5.
6. The his
Week 21 - Probability Theory, Conditional Probability, Bayes Theorem,
Independence
Section 6.3
SUGGESTED PROBLEMS
1) A B = cfw_0, 2, A B = cfw_0, 1, 2, 4, Ac = cfw_3, 4
2) A B = cfw_0, 2, A B = cfw_0,
Week 21 - Probability Theory, Conditional Probability, Bayes Theorem,
Independence
Section 6.4
SUGGESTED PROBLEMS
1) One possibility is A = cfw_0, 1, B = cfw_2, 3, 4
2) One possibility is A = cfw_0, 1
Week 23 - Statistics for Spread; Binomial Distribution
Additional Problems
TEST PREPARATION PROBLEMS
1. Normal and Binomial similarities
(a) We compare all of the values to the products np and n(1 p)
Week 23 - Statistics for Spread; Binomial Distribution
Section 7.5
TEST PREPARATION PROBLEMS
1. p = 3 = 0.75 for a tall plant in a single ospring. The probability of 3 out of 4 tall
4
ospring =
4
b(3;
Week 22 - PDFs and CDFs, Measures of Center and Spread
Section 6.6
SUGGESTED PROBLEMS
For questions 1-4, the table of probabilities is
# mut. Exp A Exp B Exp C Exp D
0
0.1
0.6
0.3
0.1
1
0.2
0.3
0.2
0.
Week 21 - Probability Theory, Conditional Probability, Bayes Theorem,
Independence
Section 6.2
TEST PREPARATION PROBLEMS
11) All the AA ospring (0.25) + one fourth of the heterozygous ospring (0.25 0.
Week 24 - Poisson Distribution; Probability Applications
Section 7.4
TEST PREPARATION PROBLEMS
15. rate is = 0.3 mol/sec, and we observe for 3 seconds, so we will see, on average =
(0.3)(3) = 0.9 mole