SHOW SOME STEPS OR EXPLAIN PLZ THX!!!!!!!!!! Question 11 If E and F are mutually

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SHOW SOME STEPS OR EXPLAIN PLZ THX!!!!!!!!!!

Question 11 If E and F are mutually exclusive, then a) the probability of the union is zero b) P(E)1 - P(F) c) the probability of the intersection is zero d) the probability of the union is one e) P(E) = P(F) Question 12 Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course. It is known that 40% of all students are enrolled in an finance course and 35% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and finance Find P(S) a) 0.15 b) 0.35 c) 0.40 d) 0.55 e) 0.60 Question 13 The number of phone calls arriving at a switchboard each hour has been recorded, and the following frequency distribution has been developed. Class Interval 20-under 40 40-under 60 60-under 80 80-under 100 Frequency 30 45 80 45 What is the cumulative frequency of the third class? a) 80 b) 0.40 c) 155 e) 105

Explanation / Answer

11.

Two events are said to be mutually exclusive if one event happens other event will not happen. Then, the probability of intersection of those two events is 0.

Thus, the correct answer is c.

12.

Let Someone be the event that a student enrolled in statistics course.

From the given information 35 percent of the students are enrolled in statistics. That is 0.35.

Thus, the correct answer is b.

13.

Find the cumulative frequency of the third class.

The cumulative frequency of the third is obtained by adding the frequencies up to the third class. That is, 30+45+80=155.

Thus, the correct answer is c.

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