Question

Let z denote a standard normal random variable. a. Find P(z > 1.48). b. Find P(-0.44...

Let z denote a standard normal random variable.
a. Find P(z > 1.48).
b. Find P(-0.44 < z < 2.68).
c. Determine the value of which
satisfies P(z > z. ) = 0.7995. d. Find P(z < –0.87).

Homework Answers

Answer #1

Part a)

P ( Z > 1.48 ) = 1 - P ( Z < 1.48 ) = 1 - 0.9306 = 0.0694

Part b)

P ( -0.44 < Z < 2.68 ) = P ( Z < 2.68 ) - P ( Z < -0.44 ) = 0.9963 - 0.33 = 0.6664

Part c)

P ( Z > ? ) = 0.7995

P ( Z > ? ) = 1 - P ( Z < ? ) = 1 - 0.7995 = 0.2005

Looking for probability 0.2005 in standard normal table to find the critical value

Z = - 0.84

P ( Z > -0.84 ) = 0.7995

Part d)

P( Z < –0.87 )

Z = -0.87 = P ( Z < -0.87 ) = 0.1922

Looking for critical value z = -0.87 in standard normal table to find the probability.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let Z denote the standard normal random variable. If P( 1 < Z < c )...
Let Z denote the standard normal random variable. If P( 1 < Z < c ) = 0.128,   what is the value of c ?
Let "Z" be a random variable from the standard normal distribution. Find the value for ?...
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.     ? = ±
Let z denote the standard normal random variable. Find the value of z0z0 such that: (a)  P(z≤z0)=0.89P(z≤z0)=0.89...
Let z denote the standard normal random variable. Find the value of z0z0 such that: (a)  P(z≤z0)=0.89P(z≤z0)=0.89 z0=z0= (b)  P(−z0≤z≤z0)=0.039P(−z0≤z≤z0)=0.039 z0=z0= (c)  P(−z0≤z≤z0)=0.1112P(−z0≤z≤z0)=0.1112 z0=z0= (d)  P(z≥z0)=0.0497P(z≥z0)=0.0497 z0=z0= (e)  P(−z0≤z≤0)=0.4874P(−z0≤z≤0)=0.4874 z0=z0= (f)  P(−2.03≤z≤z0)=0.5540P(−2.03≤z≤z0)=0.5540 z0=z0=
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.) 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* =
Assume Z is a standard normal random variable with mean 0 and variance 1. Find P(Z<0.44)?...
Assume Z is a standard normal random variable with mean 0 and variance 1. Find P(Z<0.44)? Area below 0.44? Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38 | | Assume Z is a standard normal random variable with mean 0 and variance 1. Find P(Z>-1.76)? Area above -1.76? Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE...
Let z denote a variable that has a standard normal distribution. Determine the value z* to...
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.) (a) P(z < z*) = 0.0256 z* = (b) P(z < z*) = 0.0097 z* =   (c) P(z < z*) = 0.0484 z* =   (d) P(z > z*) = 0.0204 z* =   (e) P(z > z*) = 0.0097 z* =   (f) P(z > z* or z < −z*) = 0.2007 z* =
A: Let z be a random variable with a standard normal distribution. Find the indicated probability....
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 be the standard normal variable. Find the values of z if z satisfies the...
Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answers to two decimal places.) (a) P(Z > z) = 0.9678 z = (b) P(−z < Z < z) = 0.7888 z =
let z be a standard normal random variable. find z1 such that p(-2.3<z<z1)= 0.1046
let z be a standard normal random variable. find z1 such that p(-2.3<z<z1)= 0.1046
Find the probabilities associated with the standard normal random variable Z: a) P (Z> 2.54) b)...
Find the probabilities associated with the standard normal random variable Z: a) P (Z> 2.54) b) P (-3.2 <Z <3.2) c) P (Z <1.94) d) P (Z> 2.88) e) P (Z> 3.15)