Using the normal approximation to the binomial, it is found that there is a 0.0107 = 1.07% probability that more than 30 are single.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
In this problem, the proportion and the sample size are, respectively, p = 0.22 and n = 200, hence:
The probability that more than 30 are single, using continuity correction, is P(X > 30.5), which is <u>1 subtracted by the p-value of Z when X = 30.5</u>, hence:
Z = -2.3
Z = -2.3 has a p-value of 0.0107.
0.0107 = 1.07% probability that more than 30 are single.
More can be learned about the normal distribution at brainly.com/question/24663213
"Has" would make more sense. A tip would be to read the sentence with both words, one word at a time obviously (So Everyone HAS already voted in the election.) and just go with your gut on which one makes more sense, you can do it!
The elongation of the rod is 
`
<h3>Young Modulus of a substance</h3>
The young modulus of a substance is the<u> ratio of stress to the strain</u> of material.
where:
- F is the applied force = 5000N
- l is the length of the rod = 5.0m
- A is the cross-sectional area =
Required
Extension of the rod "e"
Substitute the given parameters into the formula to have;
Hence the elongation of the rod is `
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The personality of Noomi with being competitive and impatient defines her schizotypal Narcissistic personality.
<h3>What is a personality?</h3>
The personality is given as the pattern of thinking, feeling, and behaving in a particular condition and the circumstances. The development of misinterpreted thinking and behaving results in a personality disorder.
The disorder with the ability to misinterpret the conditions, as well as to deliver the things accordingly to the individual emotions, is termed to be a schizotypal personality disorder.
The condition faced by Noomi involves the incompetence to her life and the feelings of the individual, and thereby she is considered to have schizotypal Narcissistic personality.
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