1. Research shows that about 71% of students age 14 years in the United States c
ID: 2947175 • Letter: 1
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.
Explanation / Answer
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.
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