Purchase Solution

use z score to find percentage or probability

Not what you're looking for?

Ask Custom Question

The weight of 3rd grade children is normally distributed with a mean of 64 and a standard deviation of 10. Two children are selected at random from a very large population.

(a.) What is the probability that both will weigh more than 70 pounds?
(b.) What is the probability that one of the children will weigh more than 65 pounds and the other will weigh less than 59 pounds?
(c.) Assume that a school bus can hold 36 children and has a maximum weight capacity (excluding the driver) of 2340 pounds. Assume that 36 randomly selected children board the bus. What is the probability that the total weight of these children will exceed the weight capacity of the bus?

Purchase this Solution

Solution Summary

The solution uses a z score to find out the percentage or probability.

Solution Preview

Hi there,

Here is my answer:

(a)
z=(x-mean)/standard deviation=(70-64)/10=0.6
the probability of one kid weighing more than 70 pounds
P(z>0.6)=1-0.7257=0.2743.

since ...

Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.