Concept explainers
(a)
To explain: L can be modelled by a binomial distribution.
(a)
Explanation of Solution
Given information:
L is the number of left handed students in the sample.
Sample size = 100
Percentage of left handed students at a large school = 11%
Concept used:
10% condition
n < 0.10N
The rule says that if the sample is less than
Here, the sample size (
Moreover, here the left handedness of one student does not give any idea of the left handedness of other student, so trial of each student is independent.
So,
Hence, L can be modelled by a binomial distribution.
(b)
To calculate: Probability that more than or equal to 15 students in the sample are left handed.
(b)
Answer to Problem 99E
Probability that more than or equal to 15 students in the sample are left handed is 0.13305.
Explanation of Solution
Calculation:
Using TI- 83 plus
a) Click on
b) Go to binomcdf with
c) Hit Enter
d) Type 100, 0.11, 14)
e) Hit Enter
The probability comes to be 0.86695.
Chapter 6 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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