# Question

A continuous random variable, x, is normally distributed with a mean of 200 grams and a standard deviation of 25 grams. Convert each of the following x values into its corresponding z-score:

a. x = 150

b. x = 180

c. x = 200

d. x = 285

e. x = 315

a. x = 150

b. x = 180

c. x = 200

d. x = 285

e. x = 315

## Answer to relevant Questions

What is a probability density function and how is it relevant to the determination of probabilities associated with a continuous random variable? Using the standard normal table, determine a z value (to two decimal places) such that the a. Cumulative area to z is 0.7486. b. Cumulative area to z is 0.0735. c. Area between z and positive infinity is 0.3508. d. Area ...For the normal distribution described in Exercise 7.15, what commuting time will be exceeded on only 10% of Jamal’s commuting days? In exercise Assume a normal distribution with a standard deviation of 5.0 minutes and a ...A battery manufacturer has just begun distribution of its SuperVolt, a 6-volt lantern battery for outdoor enthusiasts. Prototype tests of the new battery found the average lifetime in continuous use to be 8 hours, with a ...Repeat Exercise 7.46, but without using the correction for continuity (i.e., the discrete random variable, x, is not replaced by the interval x – 0.5 to x + 0.5). Does your answer differ appreciably from that obtained in ...Post your question

0