The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allied Health Row Total IN 64 11 21 96 87 39 28 154 EN IS 52 35 28 115 78 44 32 154 ES 281 129 109 519 Column Total Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance. (2) What is the level of significance?-

In 2004 it surfaced in Reader's Digest presented as having happened to a teacher at an unnamed community college. Four students walked in halfway through American history test my father was giving at the local community college. "Sorry," they said, "we had a flat tire." An understanding man, Dad said that if they could answer just one question correctly, he would give them each an "A" for the exam. The students agreed. So my father handed each one a piece of paper, placed them in four separate comers and said, "Write down which tire was flat." Kurt Smith What is the probability that these four students would give identical answers if they hadn't had a flat tire? Why?

A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of four digits. The first digit cannot be 8 and the last digit must be even. How many different codes are​ available? (Note that 0 is considered an even​ number.)   The number of different codes available is

A new dormitory is to be constructed.  There will be three types of rooms: single rooms which accommodate just 1 student per room, double rooms which accommodate 2 students per room, and triple rooms which accommodate 3 students per room.  The dorm will contain 151 rooms and accommodate 262 students. Further, there will be 20 more double rooms than single rooms.  Find the number of each type of room. There will be  Blank 1. Calculate the answer by read surrounding text. single rooms. There will be  Blank 2. Calculate the answer by read surrounding text. double rooms. There will be  Blank 3. Calculate the answer by read surrounding text. triple rooms.