Continuous Random Variables - Probability Density Function, Cumulative Distribution Function ...

4. The probability density function if X, the lifetime of a certain type of electronic device (measured in hours} is given by: {see attachment} (a) Find P {X > 20} (b) What is the cumulative distribution function of X? (c) What is the probability that of 6 such types of devices at least 3 will function for at least 15 hours? What assumptions are you making?

Continuous Random Variables - Probability Density Function

The lifetime in hours of an electronic tube is a random variable having a probability density function given by {see attachment} Compute the expected lifetime of such a tube.

Continuous Random Variables - Introductory Probability - 400 Level Class

Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters μ=71 and σ²=6.25. What percentage of 25-year-old mean are over 6 feet 2 inches tall? What percentage of men in the 6-footer club are over 6 foot 5 inches?

Continuous Random Variables - Introductory Probability - 400 Level Class

The lifetime of interactive computer chips produced by a certain semiconductor manufacturer are normally distributed with parameters μ=1.4x10^6 hours and σ=3x10^5 hours. What is the approximate probability that a batch of 100 chips will contain at least 20 whose lifetimes are less than 1.8x10^6? Please see attachment for full question.

Continuous Random Variables - Introductory Probability - 400 Level Class. Answer these questions about normal probability distributions.

Birth weights of babies born to full-term pregnancies follow roughly a normal distribution. At Meadowbrook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 14 ounces (1 pound = 16 ounces). a. Dr. Watts has 4 deliveries (all for full-term pregnancies) coming up during the night. What is the probability that all 4 babies will weigh more than 7.5 lbs? What assumptions are you making? b. Rachel is one of Dr. Watts' patients. Rachel had an ultrasound 3 weeks ago and the doctors established that the baby already weighed 7 lbs at that point. She is about to deliver her baby (full term). What is the probability that the baby will be more ... click for more