AP Stats - Unit 5 Review

In an effort to find the source of an outbreak of food poisoning at a conference, a team of medical detectives carried out a study. They examined all 50 people who had food poisoning and a random sample of 200 people attending the conference who didn't get food poisoning. The detectives found that 40% of the people with food poisoning went to a cocktail party on the second night of the conference, while only 10% of the people in the random sample attended the same party. Which of the following statements is appropriate for describing the 40% of people who went to the party? (Let F = got food poisoning and A = attended party.)

• P(F|A) = 0.40
• P(A^c|F)=0.40
• P(A|F^c) = 0.40
• P(A|F)=0.40

Tags

CCSS.HSS.CP.B.6

Suppose a loaded dice has the probability model shown above. If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1?

• 0.10
• 0.30
• 0.50
• 0.60

Tags

CCSS.HSS.CP.B.6

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
• greater than 0.5
• less than 0.5
• 0

Tags

CCSS.HSS.CP.A.5

In a sample of 275 students, 20 say they are vegetarians. Of the vegetarians, 9 eat both fish and eggs, 3 eat eggs but not fish, and 7 eat neither. Choose one of the vegetarians at random. What is the probability that the chosen student eats fish or eggs?

• 9/20
• 13/20
• 22/20
• 9/275

Tags

CCSS.HSS.CP.B.7

The casino game craps is based on rolling two dice. If a player rolls a 2, 3, or 12, it is called craps. What is the probability of getting craps or an even sum on one roll of the dice?

• 4/36
• 18/36
• 20/36
• 22/36

Tags

CCSS.HSS.CP.B.7

The casino game craps is based on rolling two dice. The most common bet in craps is the "pass line." A pass line bettor wins if they either roll a 7 or an 11 comes up on the first roll. This is called a natural. What is the probability of a natural? 

• 2/36
• 8/36
• 6/36
• 12/36

Ten percent of US households contain 5 or more people. You want to simulate choosing a household at random and recording "Yes" if it contains 5 or more people. Which of these are correct assignments of digits for this simulation?

• Odd = Yes; Even = No
• 0 = Yes; 1 - 9 = No
• 0 - 5 = Yes; 6 - 9 = No
• 0 - 4 = Yes; 5 - 9 = No

Tags

CCSS.7.SP.C.8C

Twenty-five repetitions of the simulation for a 47% shooter were performed. The simulated number of makes in each set of 10 shots was recorded on the dotplot. What is the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts?

• 5/10

• 3/10

• 12/25

• 3/25

Tags

CCSS.7.SP.C.8C

Twenty-five repetitions of the simulation were performed. The simulated number of makes in each set of 10 shots was recorded on the dotplot. Suppose this player attempts 10 shots in a game and only makes 3 of them. Does this provide convincing evidence that she is less than a 47% shooter?

• Yes, because 3/10 (30%) is less than 7%
• Yes, because she never made 47% of her shots in the simulation
• No, because it is plausible that she make 3 or fewer shots by chance alone
• No, because the simulation was only repeated 25 times

Dr. Stats plans to toss a fair coin 10,000 times in the hope it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true?

• It is unlikely that Dr. Stats will get more than 5000 heads
• The fraction of tosses resulting in heads should be exactly 1/2
• The chance that the 100th toss will be a head depends somewhat on the results of the first 99 tosses
• it is likely that Dr. Stats will get about 50% heads

Tags

CCSS.7.SP.C.6