Question

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)

Homework Answers

Answer #1

a) P (Z> 2.54)    

Probability= 0.9945                    (using standard normal table)

b) P(-3.2 <Z <3.2)

= P(Z <3.2) - P(Z < -3.2)

= 0.9993 - 0.0007                   

Probability= 0.9986

c) P (Z <1.94)

Probability= 0.9738

d) P (Z> 2.88)

Probability= 0.9980

e) P (Z> 3.15)

Probability= 0.9992

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
Z is a standard normal random variable. Compute the following probabilities. a. P(-1.33 Z 1.67) b....
Z is a standard normal random variable. Compute the following probabilities. a. P(-1.33 Z 1.67) b. P(1.23 Z 1.55) c. P(Z 2.32) d. P(Z -2.08) e. P(Z -1.08)
Find the following probabilities for a standard normal random variable z : p(z > 1.53) with...
Find the following probabilities for a standard normal random variable z : p(z > 1.53) with steps
Find the following probabilities for the standard normal random variable z. (Round your answers to four...
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) =
Find these probabilities for a standard normal random variable Z. Be sure to draw a picture...
Find these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or software. ​(a) ​P(Zless than<1.11.1​) ​(d) ​P(StartAbsoluteValue Upper Z EndAbsoluteValueZgreater than>0.40.4​) ​(b) ​P(Zgreater than>negative 1.4−1.4​) ​(e) ​P(negative 1.4−1.4less than or equals≤Zless than or equals≤1.11.1​) ​(c) ​P(StartAbsoluteValue Upper Z EndAbsoluteValueZless than<1.61.6​)
Find the following probabilities for the standard normal random variable z. (Round your answers to four...
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.
Find the following probabilities based on the standard normal variable Z. (You may find it useful...
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 4 decimal places.) a. P(−1.01 ≤ Z ≤ −0.71) b. P(0.01 ≤ Z ≤ 2.45) c. P(−1.38 ≤ Z ≤ 0.06) d. P(Z > 3.2)
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).
Find the indicated probability using the standard normal distribution. P(z < -2.54 or z > 2.54)...
Find the indicated probability using the standard normal distribution. P(z < -2.54 or z > 2.54) (round to 4 decimal places as needed)
Given that z is a standard normal random variable, compute the following probabilities. (Round your answers...
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)
Given that z is a standard normal random variable, compute the following probabilities. Round your answers...
Given that z is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. P(0 _< z _< 0.51) b. P( -1.61 _< z _< 0) c. P( z > 0.30) d. P( z _> -0.31) e. P( z < 2.06) f. P( z _< -0.61)