Question

Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c.=P( -0.9 ≤ Z ≤ c)=0.8037 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Answer #1

Note that:

If, X ~ Normal , then,

We have to use software or Standard Normal table to find its value, I will use R studio here.

R code: pnorm(z)

Also let, , kth quantile of N(0,1)

R code: qnorm(k)

R Code:

> pnorm(-0.9) [1] 0.1840601 > qnorm(0.9877601) [1] 2.249514

Let Z be a standard normal random variable. Use the calculator
provided, or this table, to determine the value of .
P (1.18 _< Z _< c) = 0.0854
Carry your intermediate computations to at least four decimal
places. Round your answer to two decimal places.

Let be a standard normal random variable. Use the calculator
provided, or this table, to determine the value of P (c is less
than or greater to Z is less than or greater to -0.87) =0.1570.
Carry your intermediate computations to at least four decimal
places. Round your answer to two decimal places

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)= ______

Let z be a random variable with a standard normal distribution.
Find the indicated probability. (Round your answer to four decimal
places.) P(z ? ?0.25)
Let z be a random variable with a standard normal distribution.
Find the indicated probability. (Round your answer to four decimal
places.) P(z ? 1.24)
Let z be a random variable with a standard normal distribution.
Find the indicated probability. (Enter your answer to four decimal
places.) P(?2.20 ? z ? 1.08)

A: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≤ 1.11) =
B: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≥ −1.24) =
C: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.78 ≤ z...

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* =

Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−0.53 ≤ z ≤ 2.04) =

Let z be a random variable with a standard normal distribution.
Find the indicated probability. (Round your answer to four decimal
places.) P(−2.10 ≤ z ≤ −0.46)

Let "Z" be a random variable from the standard normal
distribution. Find the value for ? that satisfies each of
the following probabilities.
(Round all answers to two decimal places)
A) P(Z < ?) = 0.6829.
? =
B) P(Z > ?) = 0.3087.
? =
C) P(-? < Z < ?) =
0.7402.
? = ±

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