Instructor: Course: Mat 102 Date: 1. A TV remote control has keys for channels 0

Question

Instructor: Course: Mat 102 Date: 1. A TV remote control has keys for channels 0 through 9 a) if a key is selected at random, what is the probability that the key for channel 5 is pressed? b) If a key is selected at random, what is the probability that the key for an even number is pressed? c) If a key is selected at random, what is the probability that the key for a number more than 0 is presse a) The probability that the key for channel 5 is pressed is (Simplify your answer.) b) The probability that the key for an even number is pressed is Simplify your answer.) c) The probability that the key for a number more than 0 is pressed is (Simplify your answer.) 2. Of the last 60 people who went to the cash register at a department store, 16 had blond hair, 1 brown hair, and 6 had red hair. Determine the empirical probability that the next person to come to the black hair. P(black)Tne (Simplify your answer. Type an integer or a fraction.) At a music store in New York City, 66 people entering the store were selected at random and were a favorite type of music. Of the 66, 20 chose rock, 12 chose country, 6 chose classical and 28 chose s rock, country, or classical. 3. a) Determine the empirical probability that the next person entering the store favors rock music. b) Determine the empirical probability that the next person entering the store favors country music c) Determine the empirical probability that the next person entering the store favors something othe classical music. a) The empirical probability that the next person entering the store favors rock music is (Simplify your answer.) b) The empirical probability that the next person entering the store favors country music is Simplify your answer.)

Explanation / Answer

1)

total channel keys = 10 (from 0 to 9)

a)

P(channel 5) = 1/10 = 0.1

b)

P(even number passed) = 4/10 = 0.4 (as there are 4 even numbers in 0 to 9 i.e 2,4,6,8)

c)

P(more than 0 is pressed) = 1 - P(pressing 0)

= 1 - 1/10

= 0.9

2)

P(black hair)

= count black / total count

= 17/60

= 0.2833

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