Using the <em>normal approximation to the binomial</em>, it is found that there is a 0.0041 = 0.41% probability that at most 10 of them married their first love.
<h3>Normal Probability Distribution
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In a <em>normal distribution</em> with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- The binomial distribution is the <u>probability of x successes on n trials, with p probability of a success on each trial</u>. It can be approximated to the normal distribution with , as long as and .
In this problem:
- 40% of people marry their first love, hence .
- A sample of 50 adults is taken, hence .
For the approximation, the mean and the standard deviation are given by:
Using continuity correction, the probability that <u>at most 10</u> of them married their first love is , which is the <u>p-value of Z when X = 10.5.</u>
has a p-value of 0.0041.
0.0041 = 0.41% probability that at most 10 of them married their first love.
To learn more about the <em>normal approximation to the binomial</em>, you can take a look at brainly.com/question/14424710
Answer:
the diagonal length is 60 inches.
Step-by-step explanation:
You start off by dividing the measurements by 12. 48 divided by 12 is 4 and 48 divided by 36 is 3. So using the 3, 4, 5 triangle theory, you would multiply 12 by 5, and get 60. I hope this helped :)
Answer: R=8
Step-by-step explanation:
-7 is added to 1 making it R= 1+7 resulting in R=8
The slope of the equation is 1/2.