Question

An Olympic archer is able to hit the bull's eye 80% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what's the probability of each of the following results? a). Her first bull's-eye comes on the third arrow. b). She misses the bull's-eye at least once c). Her first bull's-eye comes on the forth or fifth arrow. d). She gets exactly 4 bulls-eyes e). She gets at least 4 bull's-eyes. f). She gets at most 4 bull's-eyes.

Name: an olympic archer is able to hit the bulls eye 80 of the time assume each shot is independent of the others if she shoots 6 arrows whats the probability of each of the following results a he 40103
Uploaded: 2022-01-05T19:01:05-08:00
Duration: 2 min 52 s
Channel: Thuc Nguyen
Description: an olympic archer is able to hit the bulls eye 80 of the time assume each shot is independent of the others if she shoots 6 arrows whats the probability of each of the following results a he 40103

          An Olympic archer is able to hit the bull's eye 80% of the
time. Assume each shot is independent of the others. If she shoots
6 arrows, what's the probability of each of the following
results?
a). Her first bull's-eye comes on the third arrow.
b). She misses the bull's-eye at least once
c). Her first bull's-eye comes on the forth or fifth arrow.
d). She gets exactly 4 bulls-eyes
e). She gets at least 4 bull's-eyes.
f). She gets at most 4 bull's-eyes.

Added by Matthew C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Thuc Nguyen

01/05/2022

Step 1

The probability that her first bull's-eye comes on the third arrow means she misses the first two and hits the third. The probability of missing is 1 - 0.8 = 0.2. So the probability is (0.2)^2 * 0.8 = 0.032. b). The probability that she hits the bull's-eye every Show more…

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An Olympic archer is able to hit the bull's eye 80% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what's the probability of each of the following results? a). Her first bull's-eye comes on the third arrow. b). She misses the bull's-eye at least once c). Her first bull's-eye comes on the forth or fifth arrow. d). She gets exactly 4 bulls-eyes e). She gets at least 4 bull's-eyes. f). She gets at most 4 bull's-eyes.