SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Binomial distribution

Grade: 9-a Lesson: S4-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	The random variable X has binomial distribution B(20,0.4). Determine P(X≥12).?	A) 0.2351 B) 0.0549 C) 0.0565 D) 0.0789
2	The random variable X has binomial distribution B(15,0.35). Determine P(X<7).?	A) 0.9851 B) 0.7548 C) 0.2578 D) 0.3678
3	The probability of Mathew being late to school is 0.15. Find the probability that in next 25 mornings he will arrive late to school on less than 6 occasions.?	A) 0.1236 B) 0.2345 C) 0.3689 D) 0.8385
4	The probability of a letter posted first class, out of a certain company, is 0.35. Find the mean and variance of the number of letters posted first class in a batch of 14 letters.?	A) E(X=)4.9, Var(X)=3.185 B) E(X=)1.9, Var(X)=2.105 C) E(X=)4.5, Var(X)=3.185 D) E(X=)1.5, Var(X)=2.105
5	The probability of a biased dice landing on 6 is 0.4. Find the mean and variance of the number of “sixes” in 50 throws.?	A) E(X=)18, Var(X)=6 B) E(X=)32, Var(X)=12 C) E(X=)15, Var(X)=9 D) E(X=)20, Var(X)=12

Problem Id

Problem

Options

The random variable X has binomial distribution B(20,0.4). Determine P(X≥12).?

A) 0.2351
B) 0.0549
C) 0.0565
D) 0.0789

The random variable X has binomial distribution B(15,0.35). Determine P(X<7).?

A) 0.9851
B) 0.7548
C) 0.2578
D) 0.3678

The probability of Mathew being late to school is 0.15. Find the probability that in next 25 mornings he will arrive late to school on less than 6 occasions.?

A) 0.1236
B) 0.2345
C) 0.3689
D) 0.8385

The probability of a letter posted first class, out of a certain company, is 0.35. Find the mean and variance of the number of letters posted first class in a batch of 14 letters.?

A) E(X=)4.9, Var(X)=3.185
B) E(X=)1.9, Var(X)=2.105
C) E(X=)4.5, Var(X)=3.185
D) E(X=)1.5, Var(X)=2.105

The probability of a biased dice landing on 6 is 0.4. Find the mean and variance of the number of “sixes” in 50 throws.?

A) E(X=)18, Var(X)=6
B) E(X=)32, Var(X)=12
C) E(X=)15, Var(X)=9
D) E(X=)20, Var(X)=12