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13 Apr 2021

Suppose that the probability of being tutored in Statistics is 0.55, while the probability of being tutored in Physics is 0.32, and the probability of being tutored in both Statistic and Physics is 0.09.

(a) What is the probability of being tutored in Statistics or Physics?

(b) What is the probability of not being tutored in Statistics nor Physics?

(c) Are the events “being tutored in Statistics” and “being tutored in Physics” mutually exclusive?

Explain.

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Priyanshu Patel
Priyanshu PatelLv10
17 Apr 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

The percent of science students (other than students in Mathematics and Statistics) who are doing a minor in statistics is 20%. If 300 students are selected what is the approximate probability that a) more than 150 are taking a minor in statistics b) between 40 and 70 are taking a minor in statistics c) exactly 50 are taking a minor in statistics. 

The events A and B are mutually exclusive. Suppose P(A) = .30 and P(B) = .20. What is the probability of either A or B occurring? What is the probability that neither A nor B will happen?

Can two events with nonzero probabilities be both independent and mutually exclusive? Choose the correct answer below.

A. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities add up to one.

B. No two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability o the other must be zero.

C. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal.

D. No, two events with nonzero probabilities cannot be independent and mutually exclusive because independence is the complement of being mutually exclusive.

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