High School

We appreciate your visit to Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council s GMAT examination Scores on the GMAT are roughly. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council's GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 260 and a standard deviation of 38.

a) What is the probability of an individual scoring above 200 on the GMAT?

b) What is the probability that a randomly selected student's score will be less than 220?

c) What is the probability that a randomly selected student scores exactly 300?

Answer :

a) The probability of an individual scoring above 200 on GMAT is = 0.94283.

b) The probability that a randomly selected student score will be less than 220 = 0.14617.

c) The probability that a randomly selected student score exactly 300 is = 0.85374.

Scores on the GMAT are roughly normally distributed.

The mean of normal distribution = (μ) = 260.

Standard deviation of the distribution = (σ) = 38.

(a) when x = 200 then z score is,

z = (x - μ)/σ = (200 - 260)/38 = - 1.579 [Rounding off to third decimal places]

The probability of an individual scoring above 200 on GMAT is

= P(x ≥ 200)

= P(z ≥ - 1.579)

= 1 - P(z ≤ - 1.579)

= 1 - 0.057168

= 0.94283

(b) when x = 220 then z score is,

z = (220 - 260)/38 = -1.053 [Rounding off to third decimal places]

The probability that a randomly selected student score will be less than 220 is

= P(x ≤ 220)

= P(z ≤ -1.053)

= 0.14617

(c) when x = 300 then z score is,

z = (300 - 260)/38 = 1.053 [Rounding off to third decimal places]

The probability that a randomly selected student score exactly 300 is

= P(x = 300)

= P(z = 1.053)

= 0.85374

To know more about probability here

https://brainly.com/question/30086506

#SPJ4

Thanks for taking the time to read Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council s GMAT examination Scores on the GMAT are roughly. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada