Solution Found!
a A meteorologist in Denver recorded Y = the number of
Chapter 3, Problem 36E(choose chapter or problem)
Problem 36E
a A meteorologist in Denver recorded Y = the number of days of rain during a 30-day period. Does Y have a binomial distribution? If so, are the values of both n and p given?
b A market research firm has hired operators who conduct telephone surveys. A computer is used to randomly dial a telephone number, and the operator asks the answering person whether she has time to answer some questions. Let Y = the number of calls made until the first person replies that she is willing to answer the questions. Is this a binomial experiment? Explain.
Questions & Answers
QUESTION:
Problem 36E
a A meteorologist in Denver recorded Y = the number of days of rain during a 30-day period. Does Y have a binomial distribution? If so, are the values of both n and p given?
b A market research firm has hired operators who conduct telephone surveys. A computer is used to randomly dial a telephone number, and the operator asks the answering person whether she has time to answer some questions. Let Y = the number of calls made until the first person replies that she is willing to answer the questions. Is this a binomial experiment? Explain.
ANSWER:
Answer:
Step 1 of 2:
(a)
A meteorologist in Denver recorded .
Does have a binomial distribution? If so, what are the values of both
given?
A binomial experiment has the following properties:
-
The experiment consists of a finite and fixed number,
, of similar trials.
-
Each trial results in one of two outcomes: success,
, or failure,
.
-
The probability of success on a single trial is equal p and remains the same in each trial. The probability of a failure is equal to
.
- The trials are independent to each other.
From the properties of a binomial experiment, since the number of days of rain during a 30-day period is not independent, hence we can say that does not follow the binomial distribution.
Hence the does not have the binomial distribution.