n a recent year, the scores for the reading portion of a test were normally distributed, with a mean of20.3and a standard deviation of6.3.Complete parts (a) through (d) below. Question content area bottomPart 1(a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than17. The probability of a student scoring less than17isenter your response here.(Round to four decimal places as needed.)Part 2(b) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is between13.8and26.8. The probability of a student scoring between13.8and26.8isenter your response here.(Round to four decimal places as needed.)Part 3(c) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is more than33.5. The probability of a student scoring more than33.5isenter your response here.(Round to four decimal places as needed.)Part 4(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. A.None of the events are unusual because all the probabilities are greaterthan 0.05. B.The events in parts(a) and (b)are unusual because its probabilities are less than 0.05. C.The event in part(a)is unusual because its probability is less than 0.05.

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Answered: n a recent year, the scores for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question content area bottom

Part 1

(a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than

17.

The probability of a student scoring less than

enter your response here.

(Round to four decimal places as needed.)

Part 2

(b) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is between

13.8

and

26.8.

The probability of a student scoring between

13.8

and

26.8

enter your response here.

(Round to four decimal places as needed.)

Part 3

(c) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is more than

33.5.

The probability of a student scoring more than

33.5

enter your response here.

(Round to four decimal places as needed.)

Part 4

(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.

None of the events are unusual because all the probabilities are greater

than 0.05.

The events in parts

(a) and (b)

are unusual because its probabilities are less than 0.05.

The event in part

(a)

is unusual because its probability is less than 0.05.

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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