Problem 1
Use four decimal places in your answers for this problem.
Eighteen (18) people in a department of 162 are fully trained in CPR and AED. A person shows signs of a heart attack. Five (5) people respond. What is the probability that NO (0) person who responded is trained to treat the victim? (Show all of your calculations)

Problem 2
Use three decimal places in your answers for this problem.
An airline company claims their arrivals are on time within an average of +/- 5 minutes and a standard deviation of 2.82 minutes; Normally Distributed. You sample 50 arrivals and find an average of 6.3 minutes late. Can you be at least 90% sure that the airline company's claim is correct? (Show all of your calculations)

Solution Preview

Problem 1
Here we know that P(Trained) = 18/162=0.1111
So p=0.1111 q=1-0.1111=0.8889
This is binomial distribution we need to calculate P(r=0, n=5) = 5C0*p^0*q^5
=1*0.1111^0*0.8889^5
=0.554963641 or 0.5550

Problem 2
Use three decimal places in your answers for this problem. ...

Solution Summary

This Solution contains calculations to aid you in understanding the Solution to these questions.

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Please make the explanations as clear as possible.

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(a) only E occurs;
(b) both E and G but not F occur;
(c) at least one of the events occurs;
(d) at least two of the events occur;
(e) all three occur;
(f) none of the events occurs.

I. At a certain college 10% of the students are majoring in mathematics, 70% of the student body are female, and 4% of the students are female mathematics majors. Suppose a student is selected by chance. Find the probability that the student is majoring in math given that the student is a female.
j. Two events. A, B are ca

1. There are two events A and B, both with nonzero probabilities. If the occurrence of
B makes occurrence of A more likely, is it ALWAYS true that the occurrence of A also
makes occurrence of B more likely? (hint: "B makes occurrence of A more likely" can be
represented as "P(A│B) > P(A)")
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A poll was taken to determine the birthplace of a class of college students. Below is a chart of the results.
a. What is the probability that a female student was born in Orlando?
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has the listed probability of occurrence.
Symbol Probability of
Occurrence
000 .15
001 .1
010 .05
011 .4
100 .025
101 .02
110 .005
111 .25
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likely symbol is encoded as