DEVRY MATH399 Week 3 Assignment Multiplication Rules for Probability Latest 2019 JULY

MATH399 Applied Managerial Statistics

Week 3 Assignment Multiplication Rules for
Probability and the Fundamental Counting Principle

Question The
probability that a child watches cartoons after school is 0.56. The probability
that the child requests a certain toy of a cartoon character given that the
child watches cartoons after school is 0.89. What is the probability that a
child will request a toy and watch cartoons after school?

Give your
answer as a percent, rounded to two decimal places if necessary.

Question If
you roll a fair die and then flip a fair coin, what is the probability that you
roll greater than 1 and get heads with the coin?

Write your
answer as a fraction.

Question The
probability that a car has a certain factory defect is 825. The probability
that a car has a certain factory defect and needs an oil change is 750. What is
the probability that a car needs an oil change given that it has a certain
factory defect?

Give your
answer as a fraction in simplest form.

Question If
you roll a fair die and then roll a second fair die, what is the probability
that you roll a 1, 2, or 3 on the first die and roll a 5 on the second die?

Write your
answer as a fraction.

Question A
couple has two children. Let A be the event that their first child is a boy,
and note that P(A)=51.2%. Let B be the event that their second child is a girl,
with P(B)=48.8%.

A and B are
independent events. What is the probability that the couple has a first child
that is a boy and a second child that is a girl?

Give your
answer as a decimal rounded to two decimal places.

QuestionGiven
that P(A AND B)=0.29 and P(A|B)=0.67, what is P(B)?

Give your
answer as a percent. Round to two decimal places.

QuestionGiven
that P(A AND B)=0.70 and P(A|B)=0.94, what is P(B)?

Round your
answer to three decimal places.

QuestionIf
A and B are independent events with P(A)=0.60 and P(A AND B)=0.30, find P(B).

Give your
answer as a percent, rounded to two decimal places if necessary.