Question
In: Statistics and Probability
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided....
Let
Z
be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
|
Solutions
Expert Solution
P(z < -1.63) = 0.0516 (From statistical table of z values)
P(z > 0.71) = 1 - P(z < 0.71)
= 0.7611 (From statistical table of z values)
P(z > 0.71) = 0.7611
P(-0.93 < z < 2.09) = P(z < 2.09) - P(z < -0.93)
= 0.9817 - 0.1762 (From statistical table of z values)
= 0.8055
P(-0.93 < z < 2.09) = 0.8055
orchestra answered 1 year agoRelated Solutions
Let Z be a standard normal random variable. Use the calculator provided, or this table, to...
Let Z be a standard normal random variable. Use the calculator
provided, or this table, to determine the value of c.
P(−0.96≤Z≤c)=0.7963
Carry your intermediate computations to at least four decimal
places. Round your answer to two decimal places.
1- Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures...
1- Let Z be a standard normal random variable and
calculate the following probabilities, drawing pictures wherever
appropriate. (Round your answers to four decimal places.)
(e)
P(Z ≤ 1.08)
(f)
P(−1.25 ≤ Z)
(h)
P(1.08 ≤ Z ≤ 2.50)
(j)
P(|Z| ≤ 2.50)
2- In each case, determine the value of the constant c
that makes the probability statement correct. (Round your answers
to two decimal places.)
(a) P(Z < c) = 0.9834
(b) P(0 ≤ Z ≤ c)
= 0.3078
(d) P(−c...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the
following probabilities, drawing pictures wherever appropriate.
(Round your answers to four decimal places.)
(a) P(0 ≤ Z ≤ 2.33)
0.4875
Incorrect: Your answer is incorrect.
(b) P(0 ≤ Z ≤ 2)
0.4772
Correct: Your answer is correct.
(c)
P(−2.70 ≤ Z ≤ 0)
0.4981
Incorrect: Your answer is incorrect.
(d)
P(−2.70 ≤ Z ≤ 2.70)
0.9963
Incorrect: Your answer is incorrect.
(e) P(Z ≤ 1.93)
0.9545
Incorrect: Your answer...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and
calculate the following probabilities, drawing pictures wherever
appropriate. (Round your answers to four decimal places.)
(a)
P(0 ≤ Z ≤ 2.09)
(b)
P(0 ≤ Z ≤ 2)
(c)
P(−2.10 ≤ Z ≤ 0)
(d)
P(−2.10 ≤ Z ≤ 2.10)
(e)
P(Z ≤ 1.62)
(f)
P(−1.05 ≤ Z)
(g)
P(−1.10 ≤ Z ≤ 2.00)
(h)
P(1.62 ≤ Z ≤ 2.50)
(i)
P(1.10 ≤ Z)
(j)
P(|Z| ≤ 2.50)
You may need to...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and
calculate the following probabilities, drawing pictures wherever
appropriate. (Round your answers to four decimal places.)
(a) P(0 ≤ Z ≤
2.97)
(b) P(0 ≤ Z ≤ 2)
(c) P(−2.50 ≤
Z ≤ 0)
(d) P(−2.50 ≤
Z ≤ 2.50)
(e) P(Z ≤ 1.03)
(f) P(−1.75 ≤
Z)
(g) P(−1.50 ≤
Z ≤ 2.00)
(h) P(1.03 ≤ Z ≤
2.50)
(i) P(1.50 ≤ Z)
(j) P(|Z| ≤ 2.50)
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and
calculate the following probabilities, drawing pictures wherever
appropriate. (Round your answers to four decimal places.)
(a) P(0 ≤ Z ≤ 2.72)
(b) P(0 ≤ Z ≤ 1)
(c) P(−2.90 ≤ Z ≤ 0)
(d) P(−2.90 ≤
Z ≤ 2.90)
(e) P(Z ≤ 1.37)
(f) P(−1.55 ≤
Z)
(g) P(−1.90 ≤
Z ≤ 2.00)
(h) P(1.37 ≤ Z ≤
2.50)
(i) P(1.90 ≤ Z)
(j) P(|Z| ≤ 2.50)
You may need to use the appropriate table in the Appendix of
Tables to...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the
following probabilities, drawing pictures wherever appropriate.
(Round your answers to four decimal places.)
(a) P(0 ≤ Z ≤ 2.63)
(b) P(0 ≤ Z ≤ 2)
(c) P(−2.60 ≤ Z ≤ 0)
(d) P(−2.60 ≤ Z ≤ 2.60)
(e) P(Z ≤ 1.63)
(f) P(−1.15 ≤ Z)
(g) P(−1.60 ≤ Z ≤ 2.00)
(h) P(1.63 ≤ Z ≤ 2.50)
(i) P(1.60 ≤ Z)
(j) P(|Z| ≤ 2.50)
You may need to...
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the
following probabilities, drawing pictures wherever appropriate.
(Round your answers to four decimal places.)
(a) P(0 ≤ Z ≤ 2.56)
(b) P(0 ≤ Z ≤ 2)
(c) P(−2.20 ≤ Z ≤ 0)
(d) P(−2.20 ≤ Z ≤ 2.20)
(e) P(Z ≤ 1.02)
f) P(−1.85 ≤ Z)
(g) P(−1.20 ≤ Z ≤ 2.00)
(h)
P(1.02 ≤ Z ≤ 2.50)
(i) P(1.20 ≤ Z)
(j) P(|Z| ≤ 2.50)
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever...
Let Z be a standard normal random variable and calculate the
following probabilities, drawing pictures wherever appropriate.
(Round your answers to four decimal places.) (a) P(0 ≤ Z ≤ 2.13)
(b) P(0 ≤ Z ≤ 1) (c) P(−2.20 ≤ Z ≤ 0) (d) P(−2.20 ≤ Z ≤ 2.20) (e)
P(Z ≤ 1.93) (f) P(−1.15 ≤ Z) (g) P(−1.20 ≤ Z ≤ 2.00) (h) P(1.93 ≤ Z
≤ 2.50) (i) P(1.20 ≤ Z) (j) P(|Z| ≤ 2.50)
Compute the following probabilities using your calculator. Assume Z is a standard normal random variable. Round...
Compute the following probabilities using your calculator.
Assume Z is a standard normal random variable. Round all answers to
three decimal places.
A. P(0<Z<1.85)P(0<Z<1.85)=
B. P(−1.15<Z<0.3)=
C. P(Z>−1.3))=
D. P(0<Z<2.35)=
E. P(−1.85<Z<0.7)=
F. P(Z>−1.2)=
Suppose the random variable xx is best described by a normal
distribution with μ=29μ=29 and σ=3.4σ=3.4. Find the zz-score that
corresponds to each of the following xx values.
Round answers to three decimal places
(a) x=16.2
z=
(b) x=33.4
z=
(c) x=17.2
z=
(d) x=38.6
z=
Find the following probabilities...
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