Self-Check 3.2, 3.3, 3.4
- Page ID
- 36480
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Self-Check 3.2, 3.3, 3.4
1. Table below describes the distribution of a random sample S of 100 individuals, organized by gender and whether they are right- or left-handed.
|
Right-handed |
Left-handed |
|
|
Males |
43 |
9 |
|
Females |
44 |
4 |
Let’s denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L=the subject is left-handed. Compute the following probabilities:
- P(M)
- P(F)
- P(R)
- P(L)
- P(M AND R)
- P(F AND L)
- P(M OR F)
- P(M OR R)
- P(F OR L)
- P(M')
- P(R|M)
- P(F|L)
- P(L|F)
Self-Check 3.2, 3.3, 3.4
2. The table relates the weights and heights of a group of individuals participating in an observational study.
|
Weight/Height |
Tall |
Medium |
Short |
Totals |
|
Obese |
18 |
28 |
14 |
|
|
Normal |
20 |
51 |
28 |
|
|
Underweight |
12 |
25 |
9 |
|
|
Totals |
- Find the total for each row and column
- Find the probability that a randomly chosen individual from this group is Tall.
- Find the probability that a randomly chosen individual from this group is Obese and Tall.
- Find the probability that a randomly chosen individual from this group is Tall given that the individual is Obese.
- Find the probability that a randomly chosen individual from this group is Obese given that the individual is Tall.
- Find the probability a randomly chosen individual from this group is Tall and Underweight.
- Find the probability a randomly chosen individual from this group is Tall or Underweight.
- If two individuals are randomly chosen with replacement, find the probability that both individuals from this group are Short.
- If two individuals are randomly chosen without replacement, find the probability that both individuals from this group are Short.