Question

1. Research shows that about 71% of students age 14 years in the United States can identify the state of Missouri on a map.

What is the probability that you must survey exactly four students, age 14 years, before you find one who can identify the state of Missouri on a map? (Round your answer to three decimal places.)

2.A reading specialist decides to test students in order to determine their average reading level. Let's say there is a 0.30 probability that a student is below reading level.

What is the probability that the reading specialist will find a student below reading level in fewer than four students?

2.

Answer 1

Question 1:

The probability here is computed as:

probability that you must survey exactly four students, age 14 years, before you find one who can identify the state of Missouri on a map

= ( 1 - 0.71)³*0.71 = 0.017

Therefore 0.017 is the required probability here.

Question 2:

Probability that the reading specialist will find a student below reading level in fewer than four students is computed as:

= 1 - Probability that first 3 students do not have below reading level

= 1 - 0.7³

= 0.6570

Therefore 0.657 is the required probability here.