Ask Question
19 August, 19:40

1. SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.

Assuming that this scaling still applies, use a table of standard normal curve areas to find the probability that a randomly selected SAT student scores

a. More than 700.

b. Between 440 and 560.

+1
Answers (1)
  1. 19 August, 20:07
    0
    a) 0.02275

    b) 0.4515

    Step-by-step explanation:

    Data provided in the question:

    Mean = 500

    Standard deviation, s = 100

    Now,

    a) More than 700

    z score = [ X - mean ] : s

    = [700 - 500 ] : 100

    = 2

    P (More than 700) = P (z > 2)

    or

    P (More than 700) = 0.02275 [ from standard z vs P table ]

    b) Between 440 and 560

    z score for X = 440

    = [440 - 500 ] : 100

    = - 0.6

    z score for X = 560

    = [560 - 500 ] : 100

    = 0.6

    Now,

    P (Between 440 and 560) = P (z < 0.6) - P (z < - 0.6)

    thus,

    P (Between 440 and 560) = 0.7257469 - 0.2742531

    = 0.4515
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “1. SAT scores were originally scaled so that the scores for each section were approximately normally distributed with a mean of 500 and a ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers