An Olympic archer is able to hit a bulls-eye 80% of the time. Assume each shot...

An Olympic archer is able to hit a bulls-eye 80% of the time. Assume each shot is independent of the others. If she shoots 7 arrows, what is the probability of each result described below? a. What is the expected number of bulls-eyes for the 7 attempts? b. What is the standard deviation? c. She gets at least 4 bulls-eyes? d. Make a histogram showing the probability that r = 0, 1, 2, 3, 4, 5, 6, 7 bulls-eyes?

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orchestra answered 2 years ago

An Olympic archer is able to hit the bull’s-eye 80% of the time. Assume each shot...

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 fourth or fifth arrow. d) She gets exactly 4 bull’s-eyes. e) She gets at least 4 bull’s-eyes. f) She gets at...

A) An Olympic archer is able to hit the bull’s eye 80% of the time. Assume...

A) An Olympic archer is able to hit the bull’s eye 80% of the time. Assume each shot is independent of the others. She will shoot 6 arrows. Let X denote the number of bull’s eyes she makes. Find the mean of the probability distribution of X. Do not round B) The GPA of students at a college has a mean of 2.9 and a standard deviation of 0.3. Scores are approximately normally distributed. Suppose that the top 6% of...

An Olympic archer is able to hit the bull’s eye 75% of the time. Assume each...

An Olympic archer is able to hit the bull’s eye 75% of the time. Assume each shot is independent of the others. If she shoots 5 arrows, what’s the probability that she gets at least 4 bull’s eyes? Give your answer to 3 decimal places.

Imagine an archer is able to hit the bull’s-eye 82% of the time. Assume each shot...

Imagine an archer is able to hit the bull’s-eye 82% of the time. Assume each shot is independent of all others. If the archer shoots 10 arrows, then the probability that every arrow misses the bull’s-eye is a value between: ? In problem above: The expected value of the number of arrows that hit the bull’s-eye, is exactly equal to: ? In problem above: The probability that the archer hits the bull’s-eye more often than they miss, is a value...

An Olympic archer misses the bull's-eye 13% of the time. Assume each shot is independent of...

An Olympic archer misses the bull's-eye 13% of the time. Assume each shot is independent of the others. If she shoots 9 arrows, what is the probability of each of the results described in parts a through f below? a) Her first miss comes on the fourth arrow. The probability is 9.8. (Round to four decimal places as needed.) b) She misses the bull's-eye at least once. The probability is 0.6731. (Round to four decimal places as needed.) c) Her...

An archer is able to hit the bull's-eye 25% of the time. If she shoots 15...

An archer is able to hit the bull's-eye 25% of the time. If she shoots 15 arrows, what is the probability that she does not get at least 4 bull's-eyes? Assume each shot is independent of the others. Express your answer as a percentage rounded to the nearest hundredth.

When Jerome plays darts. The chances they hit the bulls eye is 1/2. (6 Marks) a)Draw...

When Jerome plays darts. The chances they hit the bulls eye is 1/2. a)Draw a Tree diagram to represent the problem when three darts are thrown. b)What is the probability three darts in a row hit the bullseye? c)What is the probability that none of the three hit the bullseye? d)What is the probability at least one of the three will hit the bullseye? e)What is the probability exactly 2 of the three hit the bullseye?

A firm has $100 in cash and debt of $80. Assume that the time value of...

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The following manufactured products have a nominal time of 80 minutes. Samples of five observations each...

The following manufactured products have a nominal time of 80 minutes. Samples of five observations each have been taken, and the results are as listed. Using two SPC techniques, determine the upper and lower control limits (using a 99% level of significance) and respond to the following questions: Present your control charts and briefly discuss your findings. Sample 1: 78 80 79 78 80 81 Sample 2: 77 78 79 79 75 81 Sample 3: 79 81 80 79 80...

Assume a firm has cash of $10 and a project that is either worth $130 or $80 (50% chance of each).

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