Math Problem Statement

The number of bags lost by a small airline per week is approximately normally distributed with a mean of 427 bags and a standard deviation of 35 bags. What is the probability that they

a) lose exactly 430 bags next week?

b) lose at most 420 bags next week?

c) lose more than 450 bags next week?

d) lose between 440 bags and 480 bags next week?

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Normal Distribution

Formulas

Z = (X - μ) / σ

Theorems

Properties of Normal Distribution
Probability Rules for Continuous Distributions

Suitable Grade Level

Grades 11-12, College Level