Chapter 13 Statistics Disjoint Independent

If 1% of all batteries made by a company are defective, WITP that 2 independent, random batteries will both be defective?

• 1%

• 0.1%

• 0.01%

• 0.001%

21% of MMs are red. WITP that of four randomly selected MMs, I have at least 1 red?

• 61%

• 39%

• 0.2%

• 10.4%

You flip a coin, and roll two dice. WITP you get Heads and a sum of 7?

• 12/36

• 1/12

• 1/72

• 1/22

24% of MMs are green. WITP that of 7 randomly selected, none are green?

• 14.6%

• 1.5%

• 85.4%

• 1.89%

Picking a queen vs a black card

• Disjoint

• Independent

• Both 

• Neither

Picking a diamond and picking a three

• Disjoint

• Independent

• Both

• Neither

28% of MM's are blue. WITP that of that my first blue MM is the fourth one randomly selected?

• 14.5%

• 28%

• 72%

• 10.5%

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?

• These two events are mutually exclusive and independent. 

• These two events are mutually exclusive, but not independent. 

• These two events are not mutually exclusive, but they are independent.

• These two events are neither mutually exclusive nor independent.

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?

• 0.2; 0.4

• 0.2; 0.33

• 0.33; 0.2

• 0.6; 0.33

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

• P(B) = 0.37, if A and B are disjoint.

• P(B) = 0.561, if A and B are independent.

• Cannot be determined if A and B are neither disjoint nor independent.

• P(A∣B)= 0.34, if A and B are independent.