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Question: Repeating an exam. Exercise gives a model for up to three attempts at an exam in a self-paced course. In that exercise, you simulated 50 repetitions to estimate Elaine's probability of passing the exam. Use those simulations (or do 50 new repetitions) to estimate the expected number of tries Elaine will make.
Exercise: A better model for repeating an exam. A more realistic probability model for Elaine's attempts to pass an exam in the previous exercise is as follows. On the first try she has probability 0.2 of passing. If she fails on the first try, her probability on the second try increases to 0.3 because she learned something from her first attempt. If she fails on two attempts, the probability of passing on a third attempt is 0.4. She will stop as soon as she passes. The course rules force her to stop after three attempts in any case.
(a) Make a tree diagram of Elaine's progress. Notice that she has different probabilities of passing on each successive try.
(b) Explain how to simulate one repetition of Elaine's tries at the exam.
(c) Simulate 50 repetitions and estimate the probability that Elaine eventually passes the exam. Use Table A, starting at line 130.
An orange juice producer buys all their oranges from one particular orchard. The amount of juice from the oranges is approximately normally distributed with a mean of 152 ml. and a standard deviation of 41 ml.
A particle moves along an Archimedean spiral r = (80) ft ? , where is given in radians. If ? = 4 rads (constant), determine the radial and transverse components of the particle's velocity and acceleration at the instant ? =p /2 rad . Sketch the c..
Fix-It Copiers advertises a mean time of 100 minutes for office calls with a standard deviation of 25 minutes. What percentage of calls are completed.
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Given a one-argument procedure p and an object a, p is said to ``halt'' on a if evaluating the expression (p a) returns a value (as opposed to terminating with an error message or running forever).
Suppose that a certain college class contains 42 students. Of these, 23 are freshmen, 28 are history majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a freshman and a hi..
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the probability that a motor vehicle entering the luray caverns has canadian license plates is 0.35 the probability
A process is out of control when:
Determine the truth value of the compound statements.- Custer was killed by the Indians, and Lincoln wrote the Gettysburg Address only if either Washington was assassinated or Alexander the Great civilized America.
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