1. (2 points  each) True or False:    (    )       (  …

     1. (2 points  each) True or False:    (    )       (    )   If is continuous on and , then there exists a number between and such that .    (    )   If is a continuous function at , then .    (    )   .    (    )   If a function is differentiable at a point, then it is also continuous at the same point.

The random variable X represents the number of classes a stu…

The random variable X represents the number of classes a student skipped. The probability distribution for this scenario is shown below. Number of Classes p(x) 0 0.18 1 0.28 2 0.44 3 0.06 4 0.04   The probability that a randomly selected student skipped exactly 1 classes is Event A.  The probability that a randomly selected student skipped at most 2 classes is Event B.  The probability that a randomly selected student skipped at least 3 classes is Event C. Find the average number of skipped classes for this population. 

A local consignment shop offers both new and used furniture….

A local consignment shop offers both new and used furniture. The following table shows the furniture classified by type and condition. Table Chair Desk New 70 50 25 Used 125 100 25   What is the probability that a randomly chosen item was used AND it was a desk?  Report your answer to 3 decimal places. 

A child selects 3 toys from a box WITHOUT replacement. The b…

A child selects 3 toys from a box WITHOUT replacement. The box contains 7 toy cars and 9 toy animals. Let the random variable X be defined as the number of toy cars selected.  Which probability distribution table below correctly represents the number of toy cars selected?  TABLE A  Number of Toy Cars p(x) 0 0.35 1 0.25 2 0.175 3 0.225   TABLE B  Number of Toy Cars p(x) 0 0.15 1 0.45 2 0.3375 3 0.0625   TABLE C  Number of Toy Cars p(x) 0 0.30 1 0.525 2 0.175   TABLE D  Number of Toy Cars p(x) 0 0.43784 1 0.17856 2 0.3836

A local consignment shop offers both new and used furniture….

A local consignment shop offers both new and used furniture. The following table shows the furniture classified by type and condition. Table Chair Desk New 70 50 25 Used 125 100 25   What is the probability that a randomly chosen item was a table OR it was used? Report your answer to 2 decimal places.