PHD ISAAC NEWTON ONLY

1. In a sample of 800 people,  32 said their favorite fruit was an apple.

Determine the empirical probalility that the person's favorite fruit is an apple.

		1/25
		32/800
		.04
		All of the above

5 points   

QUESTION 2

1.  

		A
		B
		C
		D

5 points   

QUESTION 3

1. Bill estimates that 20 people will attend the seminar if it does not rain and 12 people will attend if it rains.  The weather forecast indicates a 40% chance it will not rain and a 60% change it will rain on the day of the seminar.  Determine the expected number of people who willattend the seminar.

		12.8
		14.6
		15.2
		18.7

5 points   

QUESTION 4

1. Three coins are tossed.

Find the probability that exactly 1 head is tossed.

		3/8
		1/8
		1/4
		1/2

5 points   

QUESTION 5

1. Find the probability of  selecting a 3 or 4 when a single die is rolled once.

		1/6
		2/3
		1/3
		3/2

5 points   

QUESTION 6

1. Evaluate the expression:  4!

		4
		12
		24
		36

5 points   

QUESTION 7

1. Evaluate the expression. 10P5

		1
		30,240
		10
		720

5 points   

QUESTION 8

1. Evaluate 9C4.

A) 126                  B) 120                 C) 3024                 D) 360

		A
		B
		C
		D

5 points   

QUESTION 9

1. The result of a medical test shows that of 32 people selected at random who were given the test, 22 tested negative and 10 tested positive.  Determine the odds against a person selected at random from these 32 people testing negative on the test.

		11:5
		5:11
		22:32
		10:11

5 points   

QUESTION 10

1. What are the odds in favor of drawing a number greater than 2 from these cards?

1, 2, 3, 4, 5

		4:5
		3:5
		3:2
		4:1

5 points   

QUESTION 11

1. The owner of an antique store estimates that there is a 30% chance she will make $1200 when she sells an antique china cabinet, a 40% chance she will make $750 when she sells the cabinet, and a 30% chance she will break even(make $0) when she sells the cabinet.  Determine the expected gain or loss for the store.

		$660
		$500
		$1950
		$60

5 points   

QUESTION 12

1. Use the counting principle to obtain the answer.

A restaurant offered salads with 5 types of dressings and 8 different toppings.  How many different types of salads could be offered?

		64
		13
		25
		40

5 points   

QUESTION 13

1. There are 3 cards in a hat; one is a King, one is a Queen, and one is an Ace.  Two cards are to be selected at random without replacement.  Using a tree diagram, obtain the sample space for the experiment.  list the elements that make up the sample space.

		KKQ, KKA, QAK, AQA
		KQ, KA, QK, QA, AK, AQ
		KQA, QKA, AKQ
		KK, KQ, KA, QK, QQ, QA, AK, AQ, AA

5 points   

QUESTION 14

1. The probability of rolling an even number on a die is .

Does this probability mean​ that, if you roll the die two​ times, one even number will​ appear? If​ not, what does it​ mean?

		No, but if the die was rolled 10​ times, 5 outcomes would be even numbers.
		No, a probability of tells us nothing.
		No. It means that if a die were rolled many​ times, about of the outcomes would be even numbers.
		Yes.

5 points   

QUESTION 15

1. A card is drawn at random from a​ well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?

		16
		4/13
		2/13
		48/52

5 points   

QUESTION 16

1. A couple plans to have four children. Using a tree​ diagram, obtain the sample space.​ Then, find the probability that the family has at least one boy.

		13/16
		1
		13/4
		15/16

5 points   

QUESTION 17

1. A contractor is considering a sale that promises a profit of $29,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $1,000 with a probability of 0.3. What is the expected profit?

		$21,000
		$28,000
		$20,300
		$20,000

5 points   

QUESTION 18

1. License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed.

		1,000,000 plates
		17,576,000 plates
		1,757,600 plates
		308,915,776 plates

5 points   

QUESTION 19

1.

		3/5
		5/3
		1/12
		1/2

5 points   

QUESTION 20

1.

		8
		1680
		1
		336

5 points