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In: Statistics and Probability
Given a random variable X having a normal distribution with μ=50, and σ =10. The probability...
- Given a random variable X having a normal distribution with μ=50, and σ =10. The probability that Z assumes a value between 45 and 62 is: ___________.
Solutions
orchestra answered 1 year agoRelated Solutions
We have a normal probability distribution for variable x with μ = 24.8 and σ =...
We have a normal probability distribution for variable x with μ
= 24.8 and σ = 3.7. For each of the following, make a pencil sketch
of the distribution & your finding. Using 5 decimals, find:
(a)[1] PDF(x = 30); [use NORM.DIST(•,•,•,0)]
(b)[1] P(x ≤ 27); [use NORM.DIST(•,•,•,1)]
(c)[1] P(x ≥ 21); [elaborate, then use
NORM.DIST(•,•,•,1)]
(d)[2] P(22 ≤ x ≤ 26); [elaborate, then use
NORM.DIST(•,•,•,1)]
(e)[3] P(20 ≤ x ≤ 28); [z‐scores, then use
NORM.S.DIST(•,1)]
(f)[1] x* so that...
Let z denote a random variable having a normal distribution with μ = 0 and σ...
Let z denote a random variable having a normal
distribution with μ = 0 and σ = 1. Determine each of the
probabilities below. (Round all answers to four decimal
places.)
(a) P(z < 0.2) =
(b) P(z < -0.2) =
(c) P(0.40 < z < 0.86) =
(d) P(-0.86 < z < -0.40)
=
(e) P(-0.40 < z < 0.86) =
(f) P(z > -1.24) =
(g) P(z < -1.5 or z > 2.50) =
Let z denote a random variable having a normal distribution with μ = 0 and σ...
Let z denote a random variable having a normal
distribution with μ = 0 and σ = 1. Determine each
of the following probabilities. (Round all answers to four decimal
places.)
(a)
P(z < 0.1) =
(b)
P(z < −0.1) =
(c)
P(0.40 < z < 0.85)
=
(d)
P(−0.85 < z < −0.40)
=
(e)
P(−0.40 < z < 0.85)
=
(f)
P(z > −1.25) =
(g)
P(z < −1.5 or
z > 2.50) =
Let z denote a...
let the random variable x follow a normal distribution with μ = 50 and σ2 =...
let the random variable x follow a normal distribution with μ =
50 and σ2 = 64.
a. find the probability that x is greater than 60.
b. find the probability that x is greater than 35 and less than
62
. c. find the probability that x is less than 55.
d. the probability is 0.2 that x is greater than what
number?
e. the probability is 0.05 that x is in the symmetric interval
about the mean between...
et the random variable x follow a normal distribution with μ = 50 and σ2 =...
et the random variable x follow a normal distribution with μ =
50 and σ2 = 64.
a. find the probability that x is greater than 60.
b. find the probability that x is greater than 35 and less than
62 .
c. find the probability that x is less than 55.
d. the probability is 0.2 that x is greater than what
number?
e. the probability is 0.05 that x is in the symmetric interval
about the mean between...
Given a normal distribution with μ=100 and σ= 10 complete parts (a) through(d)a.The probability that X>95...
Given a normal distribution with μ=100 and σ= 10 complete parts (a) through(d)a.The probability that X>95 is ____(please round to four decimal places as needed)b.The probability that X<90 is ____(please round to four decimal places as needed)c.The probability that X<80 or X> 125 is ____(please round to four decimal places as needed)d.90% of the values are greater than___ and less than___(please round to two decimal places as needed)
For a normal distribution where μ = 100 and σ = 10, what is the probability...
For a normal distribution where μ = 100 and σ = 10, what is the probability of:
1. P (X> 80) =
2. P (95 <X <105) =
3. P (X <50) =
4. P (X <100) =
5. P (X <90 and X> 110) =
6.P (X> 150) =
Let X be a continuous random variable having a normal probability distribution with mean µ =...
Let X be a continuous random variable having a normal
probability distribution with mean µ = 210 and standard deviation σ
= 15.
(a) Draw a sketch of the density function of X.
(b) Find a value x∗ which cuts left tail of area 0.25 .
(c) Find a value y∗ which cuts right tail of area 0.30.
(d) Find a and b such that p(a ≤ X ≤ b) = 0.78.
If X is a normal random variable with mean ( μ ) = 50 and standard...
If X is a normal random variable with mean ( μ ) = 50 and
standard deviation ( σ ) = 40, then the probability of X > 80
is: a. 0.0000 b. 0.7734 c. 1.0000 d. 0.2266
Suppose X is a normal random variable with μ = 600 and σ = 89. Find...
Suppose X is a normal random variable with μ = 600 and σ = 89.
Find the values of the following probabilities. (Round your answers
to four decimal places.)
(a) P(X < 700)
(b) P(X > 350)
(c) P(300 < X < 900)
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