help please. **Title: Probability Calculation of Letter Frequency in a Sample****Content:**The letter "t" makes up an estimated 8% of a certain language. Assume this is still correct. A random sample of 1,000 letters is taken from a randomly selected, large book and the t’s are counted.*Objective:* Find the approximate probability that the random sample of 1,000 letters will contain 7.4% or fewer t’s.**Notation Used:**\( P(\hat{p} \leq 0.074) \) = [Input box for answer] (Round to three decimal places as needed.)**Explanation:**This problem involves the application of probability concepts to determine the likelihood of a given letter frequency within a sample size. The expected proportion of the letter “t” is given as 8% in general use, and the task is to determine the probability of observing a proportion of 7.4% or fewer in a sample of 1,000 letters.To accurately determine this probability, one might use statistical methods such as the normal approximation to the binomial distribution, given the large sample size:- Calculate the standard deviation of the sample proportion.- Use the normal distribution to approximate the probability, considering the context of the values provided.The answer should be computed and rounded to three decimal places.

Name: help please. **Title: Probability Calculation of Letter Frequency in a
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: help please. **Title: Probability Calculation of Letter Frequency in a Sample****Content:**The letter "t" makes up an estimated 8% of a certain language. Assume this is still correct. A random sample of 1,000 letters is taken from a randomly selected