SaiBook.us Statistics

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Geometric distribution

Grade: 9-a Lesson: S4-L6

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: at Home

Problem Id	Problem	Options
1	The discrete random variable X is modelled as being geometrically distributed with parameter 0.5. Determine P(X>3).?	A) 1.259 B) 0.1103 C) 0.125 D) 0.1126
2	The random variable X has geometric distribution G(0.2). Determine P(5 ≤ X ≤ 13).?	A) 0.3409 B) 0.6785 C) 0.1258 D) 0.3875
3	If your probability of success is 0.2, what is the probability you meet an independent voter on your third try?	A) 0.219 B) 0.252 C) 0.12 D) 0.368
4	Find the probability density of geometric distribution if the value of p is 0.42; x = 1,2,3 and also calculate the mean and variance.	A) E(X)=7.5 Var(X)=6.375 B) E(X)=2.3 Var(X)= 3.2 C) E(X)=4.5 Var(X)=5.231 D) E(X)=3.7 Var(X)=8.415
5	If the probability of breaking the pot in the pool is 0.4, find the number of brakes before success and the corresponding variance and standard deviation.	A) E(X)=1.5 Var(X)=6.42,SD=2.5 B) E(X)=2.5 Var(X)=5.25,SD=1.25 C) E(X)=3.5 Var(X)=4.55,SD=1.25 D) E(X)=2.5 Var(X)=3.75,SD=1.94

Problem Id

Problem

Options

The discrete random variable X is modelled as being geometrically distributed with parameter 0.5. Determine P(X>3).?

A) 1.259
B) 0.1103
C) 0.125
D) 0.1126

The random variable X has geometric distribution G(0.2). Determine P(5 ≤ X ≤ 13).?

A) 0.3409
B) 0.6785
C) 0.1258
D) 0.3875

If your probability of success is 0.2, what is the probability you meet an independent voter on your third try?

A) 0.219
B) 0.252
C) 0.12
D) 0.368

Find the probability density of geometric distribution if the value of p is 0.42; x = 1,2,3 and also calculate the mean and variance.

A) E(X)=7.5 Var(X)=6.375
B) E(X)=2.3 Var(X)= 3.2
C) E(X)=4.5 Var(X)=5.231
D) E(X)=3.7 Var(X)=8.415

If the probability of breaking the pot in the pool is 0.4, find the number of brakes before success and the corresponding variance and standard deviation.

A) E(X)=1.5 Var(X)=6.42,SD=2.5
B) E(X)=2.5 Var(X)=5.25,SD=1.25
C) E(X)=3.5 Var(X)=4.55,SD=1.25
D) E(X)=2.5 Var(X)=3.75,SD=1.94