MAT 1100 Quantitative Reasoning Module 4 Lesson 1 Assignments 1 & 2

This document provides complete solutions for two assignments from MAT 1100 Quantitative Reasoning, Module 4, Lesson 1. The first assignment covers basic probability calculations, including finding the probability of events with spinners, marbles, and student demographics. It also addresses odds, empirical probability, and Mendelian genetics problems. The second assignment delves into mutually exclusive events, probability calculations with dice and spinners, and the analysis of age distributions and family size. This resource, contributed by a student on Desklib, offers detailed answers and explanations to aid in understanding and mastering the concepts of probability and statistical reasoning.

MAT 1100 Quantitative Reasoning Module 4 Lesson 1 Assignment 1
Student Name:
Give the probability that the spinner shown would land on the indicated color.
1) Grey
The probability is 1
6
Find the probability.
2) A bag contains 6 red marbles, 7 blue marbles, and 4 green marbles. What is the probability that a
randomly selected marble is green?
Prob (green) ¿ 4
17
3) A class consists of 82 women and 99 men. If a student is randomly selected, what is the probability
that the student is a woman?
Probability of being a woman is 82
82+99 = 82
181=0.4530
Solve the problem.
4)
What are the odds against spinning a B on this spinner?
A) 2:6 B) 1:7 C) 6:2 D) 7:1
Answer; 6:2
5)
What are the odds against drawing a number greater than 2 from these cards?
Probability of greater than 2 is 3
5
Probability of less or equal to 2 is 2
5

MAT 1100 Quantitative Reasoning Module 4 Lesson 1 Assignment 1
Odd against greater than 2 is
2
5
3
5
=2 :5
6) The table shows the number of college students who prefer a given pizza topping.
Find the empirical probability that a randomly selected junior prefers meat toppings.
The probability is 12
205 =0.0585
7) Mendel found no dominance in snapdragons with respect to red and white flower color. When pure
red (RR) and pure white (rr) parents are crossed, the resulting Rr combination (one of each gene)
produces second generation offspring with pink flowers. Suppose one of these second-generation
pinks is crossed with a pure red. What is the probability that the resulting snapdragon will have red
flowers?
Answer; 0.5
8) Mendel found that flower color in certain pea plants obeyed this scheme:
Pure red crossed with pure white produces red.
When pure red (RR) and pure white (rr) parents are crossed, the resulting Rr combination (one of
each gene) produces second generation offspring with red flowers, since red is dominant. Suppose
that two of these second-generation Rr flowers are crossed. What is the probability that the resulting
plant will have white flowers?
A) 0.25 B) 1 C) 0.75 D) 0.5
Answer: 1
4 =0.25
9) The results of a school election for student president are shown in the following table.
Candidate A B C D E
Votes for 14 21 20 29 16
a) What is the probability that a randomly polled voter for Candidate D?
Prob (D) 29
100 =0.29
10) The distribution of B. A. degrees conferred by a local college is listed below, by major.
Major Frequency
English 2073
Mathematics 2164

MAT 1100 Quantitative Reasoning Module 4 Lesson 1 Assignment 1
Chemistry 318
Physics 856
Liberal Arts 1356
Business 1676
Engineering 868
a) What is the probability that a randomly selected degree is in Chemistry?
Prob(chemistry)¿ 318
9311 =0.0342