homework3[1]

homework3[1] - Econ 2083 Dr. Saleheen Khan Spring 2011 Home...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Econ 2083 Dr. Saleheen Khan Spring 2011 Home assignment #3 1. Given that z is a standard normal random variable, compute the following probabilities. a. P(-1 ≤ z ≤ 0) b. P(-1.5 ≤ z ≤ 0) c. P(-2 z 0) ˂ ˂ d. P(-2.5 ≤ z ≤ 0) e. P(-3 z ≤0) ˂ 2. Given that z is standard normal random variables, find z for each situation. a. The area between 0 and z is .4750 b. The area between 0 and z is .2291 c. The area to the right of z is .1314 d. The area to the left of z is .6700 3. Given that z is a standard normal random variables, find z for each situation a. The area to the left of z is .2119 b. The area between –z and z is .9030 c. The area between –z and z is .2052 d. The area to the left of z is .9948 e. The area to the right of z is .6915 4. The average American male adult is 5 feet 9 inches tall (Astounding Averages, 1995) . Assume the standard deviation is 3 inches in answering the following questions. a. What is the probability an adult male is taller than 6 feet b. What is the probability an adult male is shorter than 5 feet? c. What is the probability an adult male is between 5 feet 6 inches and 5 feet 10 inches? d. What is the probability an adult male is no more than 6 feet tall? 5. Trading volume on the New York Stock Exchange has been growing in recent years. For the first two weeks of January 1998, the average daily volume was 646 million shares (Barron’s, January 1998). The probability distribution of daily volume is approximately normal with a standard deviation of about 100 million shares. a. What is the probability trading volume will be less than 400 million shares? b. What percentage of the time does the trading volume exceed 800 million shares? c. If the exchange wants to issue a press release on the top 5% of trading days, what volume will trigger a release? 6. The average age for a person getting married for the first time is 26 years (U>S News & World Report, June 6, 1994). Assume the ages for the first marriages have a normal distribution with a standard deviation of four years. a.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

homework3[1] - Econ 2083 Dr. Saleheen Khan Spring 2011 Home...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online