Binomial Distribution

Is the distribution below a probability distribution? Why or why not?

• Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
• No, not all P(x) values are between 0 and 1.
• No, ∑P(x) ≠ 1.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.1

Which one of these variables is a continuous random variable?

• The time it takes a randomly selected student to complete an exam.
• The number of tattoos a randomly selected person has.
• The number of women taller than 68 inches in a random sample of 5 women. 
• The number of correct guesses on a multiple choice test. 

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.1

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?

• 0.962

• 0.132

• 0.831

• 0.250

Tags

CCSS.HSS.CP.B.9

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 exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

Tags

CCSS.HSS.CP.B.9

X ~ B(20, 0.5)

Find P(X = 7)

• 0.07

• 0.13

• 0.87

• 0.94

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.1

X ~ B(20, 0.5)

Find P(X ≤ 7)

• 0.07

• 0.13

• 0.87

• 0.94

X ~ B(20, 0.5)

Find P(X ≥ 7)

• 0.07

• 0.13

• 0.87

• 0.94

Tags

CCSS.HSS.MD.A.3

X is the number of heads when a fair coin is flipped 12 times

Find P(X = 4)

• 0.12

• 0.19

• 0.81

• 0.93

Tags

CCSS.HSS.CP.B.9

X is the number of heads when a fair coin is flipped 12 times

Find P(X ≥ 8)

• 0.93

• 0.12

• 0.81

• 0.19

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.B.9

X ~ B(30, 0.9)

Find P(X ≥ 25)

• 0.10

• 0.18

• 0.82

• 0.93