Probability Distribution Functions

 $P\left(X\ge4\right)=\ ?$  

• 0.2

• 0.05

• 0.8

• 0.15

What is E(X) ?

• 2.3

• 1

• 3

• 2.1

 $P\left(X<2\right)=\ ?$  

•  $\frac{25}{27}$  

•  $\frac{215}{216}$  

•  $0.92$  

• 0.925

Var(X) = ?

• $\frac{5}{12}$

• $\frac{2}{3}$

• $\frac{1}{4}$

• $\frac{1}{6}$

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

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

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

Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?

• ₁₀₀C₇₀   ( 0.18  )³⁰ ( 0.90  )⁷⁰
  
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁶⁰
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰
• ₉₉C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰

Tags

CCSS.HSS.CP.B.9

Find the mean of a binomial distribution with n=50 and p=0.4

• 50

• 4

• 20

• 10

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

Find the variance of a binomial distribution with 50 trials and p= 0.4

• 12

• 15

• 10

• 20