Expert answer:Statistics Assignments

Answer & Explanation:W2 Assignment.docxConditional Probability W2 Discussion.docx
w2_assignment.docx

conditional_probability_w2_discussion.docx

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Business Statistics
Week 2 Assignment
Question 1
1. Compute the weighted mean for the following data.
Question 2
1. If P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, then P(B | A) =
Question 3
Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at
random and given to Person A. A tablet is then selected and given to Person B. What is the
probability that
1.
2.
3.
4.
5.
6.
7.
Person A was given a vitamin tablet?
Person B was given a sugar tablet given that Person A was given a vitamin tablet?
neither was given vitamin tablets?
both were given vitamin tablets?
exactly one person was given a vitamin tablet?
Person A was given a sugar tablet and Person B was given a vitamin tablet?
Person A was given a vitamin tablet and Person B was given a sugar tablet?
Business Statistics
Conditional Probability
In §4.4 we are introduced to the concept of conditional probability. The notation P(A | B)
denotes the probability of event A occurring given that we know event B has occurred.
Now consider the Monty Hall Problem introduced in the following video:

•
•
After watching this video, we know that if we are given the option to switch doors that,
probabilistically speaking, it is in our best interest to switch.
Explain why this is the case using your knowledge of conditional probability.
…
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