Question

**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* ≤ 1.43)

(h) *P*(1.43 ≤ *Z* ≤
2.50)

Answer #1

Solution :

Given that,

Using standard normal table ,

(e)

P(z
1.43) = **0.9236**

(h)

P(1.43 z 2.50)

= P(z 2.50) - P(z 1.43)

= 0.9938 - 0.9236

= 0.0702

P(1.43
z
2.50) = **0.0702**

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 ≤ 2.57)
(b) P(0 ≤ Z ≤ 2)
(c) P(−2.80 ≤ Z ≤ 0)
(d) P(−2.80 ≤ Z ≤ 2.80)
(e) P(Z ≤ 1.14)
(f) P(−1.45 ≤ Z)
(g) P(−1.80 ≤ Z ≤ 2.00)
(h) P(1.14 ≤ Z ≤ 2.50)
(i) P(1.80 ≤ Z)
(j) P(|Z| ≤ 2.50)

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 ≤ 2.42)
.4922 Correct: Your answer is correct. (b) P(0 ≤ Z ≤ 1) (c) P(−2.60
≤ Z ≤ 0) (d) P(−2.60 ≤ Z ≤ 2.60) .9953 Incorrect: Your answer is
incorrect. (e) P(Z ≤ 1.93) (f) P(−1.95 ≤ Z) (g) P(−1.60 ≤ Z ≤ 2.00)
(h) P(1.93 ≤ Z ≤ 2.50)...

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 <= 2.73)
b) P(Z <= 1.63)
c) P(-1.05 <= Z)
d) P(|Z| <= 2.5)
How do you do this or is there an easy way you can do this in
excel?

Please answer all the question or i wont rate your answer. Thank
you
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 ≤ 2.22)
(b) P(0 ≤ Z ≤ 2)
(c) P(−2.60 ≤ Z ≤ 0)
(d) P(−2.60 ≤
Z ≤ 2.60)
(e) P(Z ≤ 1.32)
(f) P(−1.05 ≤ Z)
(g) P(−1.60 ≤ Z ≤ 2.00)
(h) P(1.32 ≤ Z ≤
2.50)
(i) P(1.60 ≤ Z)
(j) P(|Z| ≤ 2.50)

Find the following probabilities for the standard normal random
variable z. (Round your answers to four decimal places.)
(a) P(−1.43 < z < 0.64) =
(b) P(0.52 < z < 1.75) =
(c) P(−1.56 < z < −0.48) =
(d) P(z > 1.39) =
(e) P(z < −4.34) =

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.
P(Z ≤ 0.92) =
P(Z > -1.37) =
P(0.96 < Z < 2.17) =

Let X be a standard normal random variable. Calculate the
following probabilities using the calculator provided. Round your
responses to at least three decimal places.
P (Z</- 1.67) = ___
P (Z> 0.55)= ____
P (-0.84 < Z < 2.04)= ______

Find the following probabilities for the standard normal random
variable z. (Round your answers to four decimal
places.)
(a) P(?1.41 < z < 0.61) =
(b) P(0.55 < z < 1.78) =
(c) P(?1.54 < z < ?0.44) =
(d) P(z > 1.32) =
(e) P(z < ?4.31) =
You may need to use the appropriate appendix table or technology to
answer this question.

Given that z is a standard normal random variable, compute the
following probabilities. (Round your answers to four decimal
places.)
(a)
P(z ≤ −3.0)
(b)
P(z ≥ −3)
(c)
P(z ≥ −1.3)
(d)
P(−2.4 ≤ z)
(e)
P(−1 < z ≤ 0)

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.)
P(z < −1.5 or
z > 2.50) =
Let z denote a variable that has a standard normal
distribution. Determine the value z* to satisfy the
following conditions. (Round all answers to two decimal
places.)
P(z > z* or z <
−z*) = 0.2009
z* =

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