Question1: The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.05 seconds. I. What is probability that a reaction requires more that o.5 seconds? II. What is probability that a reaction requires between 0.4 and 0.5 second? III. What is the reaction time that is exceeded 90% of the time?
Question1:
The reaction time of a driver to visual stimulus is
standard deviation of 0.05 seconds.
I. What is
II. What is probability that a reaction requires between 0.4 and 0.5 second?
III. What is the reaction time that is exceeded 90% of the time?
Question2:
A particular long traffic light on you morning commute is green 20% of the time that you approach it.
Assume that each morning represents an independent trial.
I. Over five mornings, what is the probability that the light is green on exactly one day?
II. Over 20 mornings, what is the probability that the light is green on exactly 4 days?
III. Over 20 mornings, what is the number of expected value and variance for the number of
light green?
Question3:
Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is,
of not obtaining a busy signal. Assume that your calls are independent.
I. What is the probability that your first calls that connects is your tenth call?
II. What is the probability that it requires more than five calls for you to v=connect?
III. What is the mean number of calls to connect?
Question4:
The probability of a successful optical alignment in the assembly of an optical data storage product is
0.8, Assume trial are independent
What is the probability that the first successful alignment requires exactly four trials?
What is the probability that the first successful alignment requires at most four trials?
Question5:
An oil company conducts a geological study that indicates that an exploratory oil well should have a 20%
chance of striking oil. What is the probability that the first strike comes on the third well drilled?
Question6:
Bob is a high school basketball player. He is a 70% free throw shooter. That means his probability of
making a free throw is 0.70. During the season, what is the probability that Bob makes his first free
throw on his fifth shot?
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