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what's wrong with the following statement?: "because the digits 0, 1, 2, .....
, 9 are the normal results from lottery drawings, such randomly selected
numbers have a normal distribution." - 🧠 ANSWER ✔✔since the probability
of each digit being selected is equal, lottery digits have a uniform
distribution, not a normal distribution.
a normal distribution is informally described as a probability distribution that
is "bell-shaped" when graphed. draw a rough sketch of a curve having the
bell shape that is characteristic of a normal distribution - 🧠 ANSWER
✔✔looks like a rollercoaster, incline at the bottom that goes into an upside-
down u-shape.
,what requirements are necessary for a normal probability distribution to be
a standard normal probability distribution? - 🧠 ANSWER ✔✔the mean and
standard deviation have the values of µ = 0 and σ = 1
what does the notation z subscript α indicate? - 🧠 ANSWER ✔✔the
expression z subscript α denotes the z score with an area of α to its right
the waiting time between a subway departure schedule and the arrival of a
passenger are uniformly distributed between 0 and 6 minutes. find the
probability that a randomly selected passenger has a waiting time greater
then 3.25 minutes - 🧠 ANSWER ✔✔0.458
the waiting time between a subway departure schedule and the arrival of a
passenger are uniformly distributed between 0 and 5 minutes. find the
probability that a randomly selected passenger has a waiting time less then
3.75 minutes - 🧠 ANSWER ✔✔0.75
find the area of the shaded region. the graph depicts the standard normal
distribution with mean 0 and standard deviation 1. z= 0.95 and the graph is
shaded to the left - 🧠 ANSWER ✔✔the area of the shaded region is 0.8289
,find the indicated z score. the graph depicts the standard normal
distribution with mean 0 and standard deviation 1. the area of the shaded
region, to the left, is 0.3015 - 🧠 ANSWER ✔✔the indicated z score is -0.52
find the indicated z score. the graph depicts the standard normal
distribution with mean 0 and standard deviation 1. the area of the shaded
region, to the right, is 0.8708 - 🧠 ANSWER ✔✔the indicated z score is -1.13
find the indicated z score. the graph depicts the standard normal
distribution with mean 0 and standard deviation 1. the area of the shaded
region, to the right, is 0.2061 - 🧠 ANSWER ✔✔the indicated z score is 0.82
assume that a randomly selected subject is given a bone density test.
those test scores are normally distributed with a mean of 0 and a standard
deviation of 1. find the probability that a given score is less that -1.81 and
draw a sketch of the region - 🧠 ANSWER ✔✔the probability is 0.0351. the
sketch is bell-shaped with the area to the left shaded at the -1.81 mark, to
show that it is less than -1.81
assume that a randomly selected subject is given a bone density test.
those test scores are normally distributed with a mean of 0 and a standard
deviation of 1. find the probability that a given score is less than 2.23 and
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, draw a sketch of the region - 🧠 ANSWER ✔✔the sketch is bell-shaped with
the area to the left shaded at the 2.23 mark, to show that it is less than 2.23
assume that a randomly selected subject is given a bone density test.
those test scores are normally distributed with a mean of 0 and a standard
deviation of 1. draw a graph and find the probability of a bone density test
score greater than -1.78. - 🧠 ANSWER ✔✔the sketch is bell-shaped with
the area to the right shaded at the -1.78 mark, to show that it is greater
than -1.78
assume that a randomly selected subject is given a bone density test.
those test scores are normally distributed with a mean of 0 and a standard
deviation of 1. draw a graph and find the probability of a bone density score
between -1.66 and 1.66. - 🧠 ANSWER ✔✔the sketch is bell-shaped with
the area between -1.66 and 1.66 shaded to show that it is between -1.66
and 1.66
find the indicated critical value of z subscript 0.07 - 🧠 ANSWER ✔✔1.48
about _______% of the area is between z=-1 and z=1 (or within 1 standard
deviation of the mean) - 🧠 ANSWER ✔✔68.27%