Basic Stats Probability and Discrete Distributions

Classify: The numbers of cheeseburgers a fast-food restaurant serves each day

• None of these

• Qualitative

• Continuous

• Discrete

Is this a probability distribution?

• No

• Yes

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

• 14
• 4.67
• 5
• 7.5

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

• $1

• $0.50

• -$0.50

• $0

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CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you make on average per ticket (after paying for it)?

• $800

• -$6.50

• -$6

• -$5.20

What is the sample space for flipping two coins?

• H, T

• HH, HT, TH, TT

• HH, TT

• Dime, Nickel

When rolling a single die, are the events of rolling an even number and rolling a ‘5’ are mutually exclusive?

• Mutually Exclusive

• Not Mutually Exclusive

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the number of aces you draw.

• Yes BINS is satisfied.

• No, the trials are not independent.

• No, there is not success/failure

• No, this is a geometric experiment

A test has 8 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 8 questions, what is the probability that you get at least 3 questions correct? (Note: this is a binomial distribution with p=0.25)

• 0.886

• 0.332

• 0.678

• 0.208

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

• approximately 0.00
• 0.316
• 0.0385 
• 0.279