Answered: A big box contains 80 red toys and 35…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Question

A big box contains 80 red toys and 35 blue toys. Assume sampling is done with replacement,
and that we are selecting toys at random:
A. What is the probability of selecting a blue toy?
B. What is the probability of selecting a red toy and then a blue toy?
C. What is the distribution that best describes this data? Can this distribution be
approximated by a normal distribution? Why / why not?
D. Suppose we are interested in the number of blue toys we get from this box if we select
five different toys, what is the mean and standard deviation of the number of blue toys
we get in these five samples?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1

Note:

Hi there! Thank you for posting the question. As your question has more than 3 parts, we have solved only the first three subparts for you. If you need any specific subpart to be answered, please re-submit the question by specifying the subpart number or name.