Questions from Applied Statistics

Q: A signal in a communication channel is detected when the voltage is

A signal in a communication channel is detected when the voltage is higher than 1.5 volts in absolute value. Assume that the voltage is normally distributed with a mean of 0. What is the standard devi...

Q: An article in the Journal of Cardiovascular Magnetic Resonance [“Right Ventricular

An article in the Journal of Cardiovascular Magnetic Resonance [“Right Ventricular Ejection Fraction Is Better Reflected by Transverse Rather Than Longitudinal Wall Motion in Pulmonary Hypertension” (...

Q: Suppose X has a continuous uniformdistribution over the interval [−1,

Suppose X has a continuous uniformdistribution over the interval [−1, 1]. Determine the following: a. Mean, variance, and standard deviation of X b. Value for x such that P(−x < X < x) = 0.90 c. Cumul...

Q: Use Appendix Table III to determine the following probabilities for the standard

Use Appendix Table III to determine the following probabilities for the standard normal random variable Z: a. P(Z < 1.32) b. P(Z < 3.0) c. P(Z > 1.45) d. P(Z > −2.15) e. P(−2.34 < Z < 1.76)

Q: Assume that Z has a standard normal distribution. Use Appendix Table

Assume that Z has a standard normal distribution. Use Appendix Table III to determine the value for z that solves each of the following: a. P(−z < Z < z) = 0.95 b. P(−z < Z < z) = 0.99 c. P(−z < Z <...

Q: Determine the value for c and the covariance and correlation for the

Determine the value for c and the covariance and correlation for the joint probability density function fXY (x, y) = cxy over the range 0 < x < 3 and 0 < y < x.

Q: Determine the covariance and correlation for the joint probability density function fXY

Determine the covariance and correlation for the joint probability density function fXY (x, y) = e−x−y over the range 0 < x and 0 < y.

Q: The joint probability distribution is / Show that the correlation

The joint probability distribution is Show that the correlation between X and Y is zero but X and Y are not independent.

Q: Determine the covariance and correlation for the CD4 counts in a month

Determine the covariance and correlation for the CD4 counts in a month and the following month in Exercise 5.2.6.

Q: A random variable X has the discrete uniform distribution /

A random variable X has the discrete uniform distribution a. Show that the moment-generating function is b. Use MX(t) to find the mean and variance of X.