An intelligence scale for children is approximately normally distributed, with mean 100 and standard deviation 15. rs 7, 8, and 9earchKAn intelligence scale for children is approximately normally distributed, with mean 100 and standard devClick here to view page 1 of the standard normal distribution table. Click here to view page 2 of the stanc<(a) What is the probability that a randomly selected test taker will score above 125?Question 2 of 20 >(Round to four decimal places as needed.)(b) What is the probability that a randomly selected test taker will score below 90?(Round to four decimal places as needed.)(c) What proportion of test takers will score between 110 and 140?(Round to four decimal places as needed.).(d) Would it be unusual for a randomly selected child to have a score above 150?Obecause P(X>150) =(Round to four decimal places as needed.)(e) What intelligence score will place a child in the 98th percentile?1040hpC...4

It is given that Mean = 100 Standard deviation = 15 Note: According to Bartleby expert…

(a) What is the probability that a randomly selected test taker will score above 125? (Round to four decimal places as needed.) (b) What is the probability that a randomly selected test taker will score below 90? (Round to four decimal places as needed.). (c) What proportion of test takers will score between 110 and 140? 4

(a) What is the probability that a randomly selected test taker will score above 125? (Round to four decimal places as needed.) (b) What is the probability that a randomly selected test taker will score below 90? (Round to four decimal places as needed.). (c) What proportion of test takers will score between 110 and 140? 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

An intelligence scale for children is approximately normally distributed, with mean 100 and standard deviation 15.

rs 7, 8, and 9
earch
K
An intelligence scale for children is approximately normally distributed, with mean 100 and standard dev
Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the stanc
<
(a) What is the probability that a randomly selected test taker will score above 125?
Question 2 of 20 >
(Round to four decimal places as needed.)
(b) What is the probability that a randomly selected test taker will score below 90?
(Round to four decimal places as needed.)
(c) What proportion of test takers will score between 110 and 140?
(Round to four decimal places as needed.).
(d) Would it be unusual for a randomly selected child to have a score above 150?
O
because P(X>150) =
(Round to four decimal places as needed.)
(e) What intelligence score will place a child in the 98th percentile?
10
40
hp
C...
4

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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