Binomial Distribution

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

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.ID.A.4

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

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

• 4.2

• 3.5

• 12.0

• 6.2

On a certain road 20% of the vehicles are trucks, 16% are buses and the remainder are cars. A random sample of 11 vehicles is taken. Find the probability that fewer than 3 are buses.

• 0.747

• 0.748

• 0.749

• 0.746

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373
• 0.3955
• 0.7627
• 0.6045

Is this a probability distribution?

• No

• Yes

Answer explanation

no, because p(x) adds up to more than 1

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

X ~ B(18, 0.3)

Find P(X ≥ 5)

• 0.20

• 0.53

• 0.47

• 0.67

Tags

CCSS.HSS.MD.A.2

X ~ B(30, 0.9)

Find P(X ≥ 25)

• 0.10

• 0.18

• 0.82

• 0.93