Random Variable Review

State whether it is Discrete or Continuous;

The size of jeans in a shop

• Discrete

• Continuous

Tags

CCSS.HSF-LE.A.1B

State whether it is Discrete or Continuous;

the amount of water in different types of fruit drink

• Discrete

• Continuous

A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 
X           0          1          2          3           4           5    
P(X)   0.24    0.37    0.20    0.11    0.05     0.03
What is the probability that a randomly chosen household has at least two cars?

• 0.20
• 0.29
• 0.39
• 0.61

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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?

• $58.50
• $60.00
• $62.50
• $65.00

Tags

CCSS.HSS.MD.A.2

A discrete random variable X has the probability distributions shown in the table. Find the value of k. (Remember that a valid probability distribution must add up to 1)

• 1/3

• 7/12

• 1/12

• 1/4

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Determine which of the following distribution is NOT a probability distribution. (Remember that a valid probability distribution must add up to 1)

• A

• B

• C

• D

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

• 31.8

• 15.68

• 0.20

• 1.00

Tags

CCSS.HSS.MD.A.2

Which of the following refers to a rule that assigns a numerical value or characteristic to an outcome of an experiment?

• Expected Value

• Random Variable

• Range Space

• Probability Distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally

• 3.42
• 1.03
• 0.072
• 0.199

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%

• 17.62%

• 58.81%

• 41.19%

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7