The binomial distribution can be used to model the number of rare events that occur over a
given time period.
A) True B) False
Q. 2A binomial random variable is defined to be the number of units sampled until x successes is
observed.
A) True B) False
Q. 3By law, a box of cereal labeled as containing 24 ounces must contain at least 24 ounces of
cereal.
The machine filling the boxes produces a distribution of fill weights that is
mound-shaped and symmetric, with a mean equal to the setting on the machine and
with a standard deviation equal to 0.02 ounce. To ensure that most of the boxes contain
at least 24 ounces, the machine is set so that the mean fill per box is 24.06 ounces. What
percentage of the boxes do, in fact, contain at least 24 ounces?
Q. 4A bottle contains 16 ounces of water. The variable x represents the volume, in ounces, of
water remaining in the bottle after the first drink is taken. What are the natural bounds
for the values of x? Is x discrete or continuous? Explain.
What will be an ideal response?
Q. 5A small computing center has found that the number of jobs submitted per day to its
computers has a distribution that is approximately mound-shaped and symmetric, with
a mean of 93 jobs and a standard deviation of 8.
On what percentage of days do the
number of jobs submitted exceed 101?
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