Discrete Probability Distributions - Review

A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50, a 35% chance it will be worth $60 and a 25% chance it will be worth $70.What expected value does this broker assign to this stock's end-of-the-year price? (a)  

• $58.50
• $60.00
• $62.50
• $65.00

Which one of the following is a discrete random variable?

• Sam's height

• Sam weight

• Time Sam's runs the 110 m hurdles

• Amount of Sam's brothers and sisters

Tags

CCSS.HSS.MD.A.1

Is this a probability distribution? (a)  

• No
• Yes

Is this a probability distribution? (a)  

• No
• Yes

Which of the following are conditions of a Poisson distribution?

• the experiment consists of counting the number of times an event occurs within a given interval

• The probability of the event occurring is the same for each interval

• the number of events occurring in one interval is independent of the events occurring in the other

• The mean is different for each interval.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

Mathematical Equivalence

ON

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.
• Each trial must be classified as a success or a failure.
• All trials are dependent on each other.
• The number of successes in the trials is counted.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Which of the following is false about binomial probabilities?

• Their distributions are approximately symmetric.
• Trials must be fixed.
• Events musts be independent.
• The probability of success must be 0.50

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

Mathematical Equivalence

ON

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 at least 2 of the first 10 blood donors has Type B blood? 

• 0.088
• 0.697
• 0.214
• 0.303 

Tags

CCSS.HSF-LE.A.1C