Quiz Discussion

Title: Geometric distribution

Grade: 9-a Lesson: S4-L6

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id Problem Options

Steps 1

The literacy rate for a nation measures the proportion of people age 15 and over who can read and write. The literacy rate for women in Afghanistan is 12%. Let X = the number of Afghani women you ask until one says that she is literate.What is the probability that you ask five women before one says she is literate?

A) 0.4313
B) 0.0719
C) 0.2013
D) 0.2865

Steps 2

Consider a geometric probability distribution for a discrete random variable X with probability of success = 0.2.Find P(x≤2)

A) 0.22
B) 0.12
C) 0.98
D) 0.36

Steps 3

Consider a geometric probability distribution for a discrete random variable X with probability of success = 0.6.Find P(x>3)

A) 0.725
B) 0.082
C) 0.936
D) 0.919

Steps 4

Nigel is playing tournament chess against a computer program and the probability he wins against the program at any given game is 0.25. Determine the mean and variance of the distribution ?

A) \$\mu\$ = 4 ,\$\sigma^2\$ = 12
B) \$\mu\$ = 2 ,\$\sigma^2\$ = 18
C) \$\mu\$ = 4 ,\$\sigma^2\$ = 22
D) \$\mu\$ = 6 ,\$\sigma^2\$ = 23

Steps 5

Certain basketball player in NBA makes 70% of his free throws. Find the mean and variance of the basketball player of his free throws ?

A) \$\mu\$ = 0.8 ,\$\sigma^2\$ = 6.4
B) \$\mu\$ = 1.7 ,\$\sigma^2\$ = 4.9
C) \$\mu\$ = 0.6 ,\$\sigma^2\$ = 1.4
D) \$\mu\$ = 2.6 ,\$\sigma^2\$ = 3.6


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