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Business Statistics Exam 2 – Questions with A+ Rated Answers
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Business Statistics Exam 2 – Questions with A+ Rated Answers
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Business Statistics Exam 2 – Questionswith A+ Rated Answers
continuous random variables - - Random variables, which are usually
generated from experiments in which the observations or things are
"measured" rather than "counted," are __________.
- one - - The graph of a probability distribution of a continuous random
variable is a curve (Note: a straight line is a special type of curve) between
two points which represent the minimum and the maximum possible values
the random variable can take. The area under the whole curve is equal to
__________.
- the area under the distribution curve between the two points - - For
continuous distributions, probabilities of outcomes occurring between two
points are determined by __________.
- (a + b) / 2 - - If a continuous random variable is uniformly distributed
between a and b, with b > a, the mean of the distribution is equal to
__________.
- 1 / (b - a) - - If a continuous random variable is uniformly distributed
between a and b, with b > a, the height of the rectangle that describes the
graph of its distribution is equal to __________.
- (b - a) / √12 - - If a continuous random variable is uniformly distributed
between a and b, and b > a, the standard deviation of the distribution is
equal to __________.
- 1 - - If a continuous random variable is uniformly distributed between a
and b, with b > a, the area under the curve (or line segment between a and
b) of its distribution is equal to__________.
- 1/50 - - Suppose the number of parking spots at urban grocery stores is
uniformly distributed over the interval 90 to 140, inclusively (90 ≤ x ≤ 140),
then the height of this distribution, f(x), is __________________.
- 115 - - If the number of parking spots at urban grocery stores is uniformly
distributed over the interval 90 to 140, inclusively (90 ≤ x ≤ 140), inclusively
(90 ≤ x ≤ 140), then the mean of this distribution is __________________.
- 14.4 - - If the number of parking spots at urban grocery stores is uniformly
distributed over the interval 90 to 140, inclusively (90 ≤ x ≤ 140), then the
standard deviation of this distribution is __________________.
, - .000 - - If the amount of precipitations is uniformly distributed over the
interval 90 mm to 140 mm, inclusively (90 ≤ x ≤ 140), then P(x = exactly
100) is __________________.
- discrete - - Which one of the following is not a characteristic of a normal
distribution?
- standard deviation - - A normal distribution is defined by two parameters,
the mean and the __________.
- standard normal or the z- distribution - - All normal distributions can be
converted into a single distribution called the __________.
- Subtract μ from x and then divide by σ - - To convert any x value of a
normal distribution with mean μ and standard deviation σ into a z-score, we
__________.
- 0 and 1 - - The mean and the standard deviation of the z distribution are
__________ and __________.
- a continuous distribution - - The normal distribution is an example of
_______.
- one - - The total area underneath any normal curve is equal to _______.
- 0.5 - - The area to the left of the mean in any normal distribution is equal
to _______.
- the mean is equal to 0 and the variance is equal to 1. - - A standard
normal distribution has the following characteristics:
- 0.9032 - - Let z be a normal random variable with mean 0 and standard
deviation 1. What is P(z < 1.3)?
- 0.0861 - - Let z be a normal random variable with mean 0 and standard
deviation 1. What is P(1.3 < z < 2.3)?
- 0.8643 - - Let z be a normal random variable with mean 0 and standard
deviation 1. What is P(z > -1.1)?
- 0.1235 - - Let z be a normal random variable with mean 0 and standard
deviation 1. What is P(-2.25 < z < -1.1)?
- 0.0000 - - Let z be a normal random variable with mean 0 and standard
deviation 1. The 50th percentile of z is ____________.
, - 0.6700 - - Let z be a normal random variable with mean 0 and standard
deviation 1. The 75th percentile of z is ____________.
- 1.280 - - Let z be a normal random variable with mean 0 and standard
deviation 1. The 90th percentile of z is ____________.
- standard deviations - - A z score is the number of __________ that a value is
from the mean.
- 1.0 - - Suppose the average time to fill a routine prescription at a local
pharmacy is 35 minutes based on the time the physician places the order to
the time it is dispensed. Assume the standard deviation is 11 minutes. the z-
score for x = 46 is ________.
- (a) What is the value of f(x) for this distribution?
.012
(b) Determine the mean of this distribution:
221.5
(c) Determine the standard deviation of this distribution:
24.537
(d) Probability of (x > 254) =
.118
(e) Probability of (185 ≤ x ≤ 236) =
.600
(f) Probability of (x ≤ 203) =
.282 - - Values are uniformly distributed between 179 and 264.
*(Round your answers to 3 decimal places.)
**(Round your answer to 1 decimal place.)
(a) What is the value of f(x) for this distribution?
(b) Determine the mean of this distribution:
(c) Determine the standard deviation of this distribution:
(d) Probability of (x > 254) =
(e) Probability of (185 ≤ x ≤ 236) =
(f) Probability of (x ≤ 203) =
- (a) Standard deviation =
234.4042
(b) Height =
.0012
(c) P(x > 850) =
.2401
(d) P(x > 1,240) =
.0000
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