Respuesta :
Answer:
x is a binomial random variable because a trial is independent and number of trials, n = 10.
Step-by-step explanation:
We are given the following information:
We treat adult reading at least one book in the past 12 months as a success.
P(Adult reading atleast one book) = 74% = 0.74
Then the number of adults follows a binomial distribution, where
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
If x is a random variable representing the number of people who have read at least on book, then x follows a binomial distribution because:
- There are n independent trials. Here, n = 10.
- Each trial have two possible outcome either a success(read atleast one book) or a failure(not read atleast one book)
- The probability of success is same for each trial. Here p = 0.74
Thus,
x is a binomial random variable because a trial is independent and number of trials, n = 10.
