Question
1. In a genetics experiment, the researcher mated two Drosophila fruit flies and observed the traits of 300 offspring. The results are shown in the
1. In a genetics experiment, the researcher mated twoDrosophilafruit flies and observed the traits of 300 offspring. The results are shown in the table.
Wing Size | ||
Eye Color | Normal | Miniature |
Normal | 133 | 7 |
Vermillion | 3 | 157 |
One of these offspring is randomly selected and observed for the two genetic traits. (Enter your probabilities as fractions.)
(a) What is the probability that the fly has normal eye color and normal wing size? (b) What is the probability that the fly has vermillion eyes? (c) What is the probability that the fly has either vermillion eyes or miniature wings, or both?
2. An experiment can result in one or both of eventsAandBwith the probabilities shown in this probability table.
A | Ac | |
B | 0.34 | 0.46 |
Bc | 0.15 | 0.05 |
Find the following probabilities. (Round your answers to three decimal places.)
(a). P(A)
(b).P(B)
(c). P(AB)
(d) P(AB)
(e) P(A|B)
(f) P(B|A)
3. A student prepares for an exam by studying a list of 10 problems. She can solve8of them. For the exam, the instructor selects7questions at random from the list of 10. What is the probability that the student can solve all7problems on the exam? (Enter your probability as a fraction.)
4. In how many ways can you select five people from a group oftenif the order of selection is important?
------------------------- ways
4. An experiment consists of tossing a single die and observing the number of dots that show on the upper face. EventsA,B, andCare defined as follows.
A: Observe a number less than 4. |
B: Observe a number less than or equal to 2. |
C: Observe a number greater than 3. |
Find the probabilities associated with the events below using either the simple event approach or the rules and definitions from this section. (Enter your probabilities as fractions.)
(a) S (b) A|B (c) B (d) ABC (e) AB (f) AC (g) BC (h) AC (i) BC
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