Recovery Assignment AP Stats

Given the probabilities P(A) =0.4 and P(A∪B) =0.6, what is the probability P(B): If A and B are mutually exclusive? If A and B are independent? 

• a) 0.2; 0.4
• b) 0.2; 0.33
• c) 0.33; 0.2
• d) 0.6; 0.33

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.8

The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican? 

• a) 0.9865
• b) 0.2275
• c) 0.0725
• d) 0.0135

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.6

CCSS.7.SP.C.7

CCSS.7.SP.C.8

If P(A) = 0.34 and P(A or B) = 0.71, which of the following is false? 

• a) P(B) = 0.37, if A and B are disjoint.
• b) P(B) = 0.561, if A and B are independent.
• c) Cannot be determined if A and B are neither disjoint nor independent.
• d) P(A∣B)= 0.34, if A and B are independent.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.8

P(Freshman or Pizza):

• 27/50
• 4/50
• 3/50
• 30/50

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.7

P(Pizza ∩ Water) =

• 62/182
• 120/400
• 58/400
• 140/400

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.6

CCSS.7.SP.C.7

CCSS.7.SP.C.8

If I toss a fair coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is 

• 0.5. 
• less than 0.5. 
• greater than 0.5. 
• 0.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. Approximately what percent of the days in February would be between 24 and 30 degrees?

• 35.8%
• 68.2%
• 0%
• 50%

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice.
The probability that you win $4 both times is

• 1/6
• 1/3
• 1/36
• 1/12

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9