Question

Consider a normal distribution curve where 65-th
percentile is at 19 and the 30-th percentile is at 10. Use this
information to find the mean, μ , and the standard deviation, σ ,
of the distribution.

a) μ=

b) σ=

Answer #1

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Consider a normal distribution curve where 80-th percentile is
at 19 and the 20-th percentile is at 1. Use this information to
find the mean, ? μ , and the standard deviation, ? σ , of the
distribution. Note: this is a tricky problem, you should
get out a pen and paper and work through it carefully.

Consider a normal distribution curve where 90-th percentile is
at 17 and the 40-th percentile is at 8. Use this information to
find the mean, μ , and the standard deviation, σ , of the
distribution.
a) μ=
b) σ=

(1 point) Consider a normal distribution curve where 90-th
percentile is at 11 and the 25-th percentile is at 9. Use this
information to find the mean, μ , and the standard deviation, σ ,
of the distribution.
a) ?= 9.6873 (right answer)
b) σ = 1.025 (not correct?) I have tried this answer but webwork
will not accept it. Is there possibly another answer

(1 point) Consider a normal distribution curve where 90-th
percentile is at 11 and the 25-th percentile is at 9. Use this
information to find the mean, ?μ , and the standard
deviation, ?σ , of the distribution.
a) ?=μ=
b) ?=σ=
(1 point) Length of skateboards in a skateshop are normally
distributed with a mean of 31.3 in and a standard deviation of 0.5
in. The figure below shows the distribution of the length of
skateboards in a skateshop. Calculate...

Consider a normal distribution curve where the middle 35 % of
the area under the curve lies above the interval ( 3 , 11 ). Use
this information to find the mean, μ and the standard deviation, σ
of the distribution.

Given a normal distribution with μ=30 and σ=7, find (a) the
normal curve area to the right of x=17; (b) the normal curve area
to the left of x=22; (c) the normal curve area between x=35 and
x=38; (d) the value of x that has 80% of the normal curve to the
left; and (e) the two values of x that contain the middle 65% of
the normal curve area.

Suppose the longevity of iPad batteries can be modeled by a
normal distribution with mean μ = 8.2 hours and standard deviation
σ = 1.2 hours.
a. Find the probability a randomly selected iPad lasts less than
10 hours.
b. Find the 25th percentile of the battery times.

Assume a normal distribution and find the following
probabilities.
(Round the values of z to 2 decimal places. Round your answers
to 4 decimal places.)
(b) P(x ≥ 43 | μ = 30 and σ = 9) enter the probability of 43 or
more outcomes if the mean is 30 and the standard deviation is 9
(c) P(x > 26 | μ = 30 and σ = 5) enter the probability of
more than 26 outcomes if the mean is...

a.) Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 4.4; σ = 2.2
P(3 ≤ x ≤ 6) =
b.) Consider a normal distribution with mean 34 and standard
deviation 2. What is the probability a value selected at random
from this distribution is greater than 34? (Round your answer to
two decimal places.)
c.) Assume that x has a normal...

a.) Assume that x has a normal distribution. Find P(10 ≤ x ≤ 26)
given that μ = 14.9 and σ = 4.0. (Use 4 decimal places.)
b.) Let z be a random variable with a standard normal
distribution. Find P(–1.13 ≤ z ≤ 2.47). Use 4
decimal places.
c.) Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability that a value selected at
random from this distribution is greater than 25? (Use 2...

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