Problem:

Answer as indicated. Write your answers in a separate sheet of paper. 1. Use the Table of Standard Normal distribution to determine corresponding probabilities of the following: a. P (2 1.78) 2. X is a normally distributed random variable with a mean of 60 and a standard deviation of 8. Find the probabilities indicated by using the table. d. P (X 57) Solve the following problems. 1. What is the probability that a normal random variable will take a value that is more than 2.55 standard deviations above its mean? 2. The length of a randomly chosen human pregnancy is a normal random variable with p = 266 days, o = 16. What is the probability that a randomly chosen pregnancy will last less than 246 days? 3. Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weighing less than 2500 grams at birth are considered "low weight." If we randomly select a baby, what is the probability that it has a low birth weight? 4. Each week, a garbage collector collects an average of 80 kilograms of garbage and a standard deviation of 10 kilograms from the supermarkets. If a supermarket is selected at random, find the probability of its generating between 67 kilograms and 91 kilograms per week