Concept explainers
(a)
To find: the numbers of the mathematics degrees given that year were earned by women.
(a)
Answer to Problem 33E
10258 women
Explanation of Solution
Given:
Formula used:
General multiplication rule:
Calculation:
70% of the mathematics degrees were Bachelor degrees, whereas 24% were master degrees and in total there need to have been 100% degrees. This then implies that 100%-70%-24%=6% of the mathematics degrees were doctorates.
Using the general multiplication rule:
Using the addition rule
Thus a proportion of 0.4168 of the 24611 degrees were earned by the women.
Which are associates with
(b)
To Explain: that the events are independent yes or no.
(b)
Answer to Problem 33E
Not independent
Explanation of Solution
Given:
Formula used:
Multiplication rule:
Addition rule
Calculation:
70% of the mathematics degrees were Bachelor degrees, whereas 24% were master degrees and in total there need to possess been 100% degrees. This then implies that 100%-70%-24%=6% of the mathematics degrees were doctorates.
Multiplication rule:
Using the addition rule
It is find that the possibilities
(c)
To find: the probability that at least 1 of the 2 degrees was earned by a women.
(c)
Answer to Problem 33E
0.65987776=65.987776%
Explanation of Solution
Given:
Formula used:
Multiplication rule:
Addition rule
Complement rule:
Multiplication rule for independent events:
Calculation:
70% of the mathematics degrees were Bachelor degrees, whereas 24% were master degrees and in total there require to have been 100% degrees. This then implies that 100%-70%-24%=6% of the mathematics degrees were doctorates.
Use the general multiplication rule:
Use the addition rule for disjoint events:
Use the complement rule:
Use the multiplication rule for independent events (assuming that the two individuals are independent):
Use the complement rule:
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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