Question

Given that Z is a standard normal random variable, compute the following probabilities (to 4 decimal...

Given that Z is a standard normal random variable, compute the following probabilities (to 4 decimal places).

a. P(-1.98  ≤ z  ≤ 0.49)

b. P(.55  ≤ z  ≤ 1.28)

c. P(-1.79  ≤ z  ≤ -1.09)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(A)P(-1.98  ≤ z  ≤ 0.49)

= P(Z  ≤ 0.49 ) - P(Z  ≤ -1.98)

Using z table,  

=  0.6879 -0.0239

=0.6640

probability=0.6640

(B)P(0.55  ≤ z  ≤ 1.28)

= P(Z  ≤ 1.28 ) - P(Z  ≤ 0.55)

Using z table,  

=0.8997-0.7088

=0.1909

probability=0.1909

(c)

P(-1.79  ≤ z  ≤ -1.09)

= P(Z  ≤-1.09 ) - P(Z  ≤ -1.79)

Using z table,  

=0.1379 -0.0367

=0.1012

probability=0.1012

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals)....
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(-1.98 ≤ z ≤ 0.48) P(0.55 ≤ z ≤ 1.29) P(-1.73 ≤ z ≤ -1.08)
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)
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.
Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)(a)P(0 ≤ z ≤ 0.86)(b)P(−1.54 ≤ z ≤ 0)(c)P(z > 0.44)(d)P(z ≥ −0.22)(e)P(z < 1.30)(f)P(z ≤ −0.75)Also..A population has a mean of 128 and a standard deviation of 32. Suppose a sample of size 64 is selected andxis used to estimate μ. (Round your answers to four decimal places.)(a)What is the probability that the sample mean will be within ±5 of...
Given that Z is a standard normal random variable, compute the following probabilities. Draw a curve...
Given that Z is a standard normal random variable, compute the following probabilities. Draw a curve and shade appropriate region. Use TI-83 calculator to find the probabilities (i) P( z ≤ 1.0) (ii) P( z ³ 1.0) (iii) P( z ≤ -1.0) (iv) P(-1.0 ≤ z ≤ 1.0) (v) P(-1.6 ≤ z ≤ 1.2)
Suppose that Z represents a standard normal random variable. Compute the following probabilities Q6. P(0≤Z≤1) a)...
Suppose that Z represents a standard normal random variable. Compute the following probabilities Q6. P(0≤Z≤1) a) 0.34 b) 0.45 c) 0.39 d) 0.90 Q7. P(0≤Z≤1.65) a) 0.34 b) 0.45 c) 0.39 d) 0.90 Q8. P(-1≤Z≤0) a) 0.34 b) 0.45 c) 0.39 d) 0.90 Q9. P(-1.28≤Z≤0) a) 0.34 b) 0.45 c) 0.39 d) 0.90 Q10. P(-1.65≤Z≤1.65) a) 0.34 b) 0.45 c) 0.39 d) 0.90 Q11. P(-1.28≤Z≤1.28) a) 0.34 b) 0.45 c) 0.79 d) 0.90
Given that z is a standard normal random variable, use the Excel to compute the following...
Given that z is a standard normal random variable, use the Excel to compute the following probabilities. a) P(z > 0.5) b) P(z ≤ −1) c) P(1≤ Z ≤ 1.5) d) P(0.5 ≤ z ≤ 1.25) e) P(0 < z < 2.5)
For the standard normal random variable z, compute the following probabilities (if required, round your answers...
For the standard normal random variable z, compute the following probabilities (if required, round your answers to four decimal places): P (0 ≤ z ≤ 0.77) = P (-1.63 ≤ z ≤ 0) = P (z > 0.42) = P (z ≥ -0.22) = P (z < 1.30) = P (z ≤ -0.78) =
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 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) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT