Area Under a Normal Distribution Curve Research Assignment - 275 Words

Area Under a Normal Distribution Curve Research Assignment (Math Problem Sample) Content: Area under a Normal Distribution CurveStudents NameInstitutional AffiliationArea under a Normal CurveThe area under a normal distribution curve is one. Definition of normal distribution, normal distributed data occurs when the frequencies fall off at a rate that is proportional to the space of the score from the mean, and to the frequencies CITATION Sub14 \l 1033 (Subotic, 2014). A normal distribution also means a family of probability distributions that are continuous which can be described the normal equation. The bell shaped curve helps in finding the percentage of data that is found in a certain interval. In a typical calculus problem, this is the area under the curve over the interval. This is seen in a probability distribution. The normal equation of a variable N:N= {1/ [ * (2)]}*e-y-)2/22Where y- the normal random variable, - The mean, -The standard deviation.The following is observed about a normal distribution curve as seen below; area is equally distribu ted under the normal curve. The probability that a certain value is equal to a random variable is zero. There is equal probability that d is more than X and the area that is bounded by normal curve d and infinity. There is equal probability X and d equals the area that is bounded by the normal curve d subtracted from infinity. Every curve that is normal obeys the following rule, * Approximately 68percent of the area is within one standard deviation of the mean where the curve falls. * Approximately 95 percent of the area is within two standards of deviation of the mean where the curve falls. * Approximately 99 percent of the area is within thre...