In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.4. Answer parts (a)–(d) below. Question content area bottom Part 1 (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 487. The probability that a randomly selected medical student who took the test had a total score that was less than 487 is enter your response here. (Round to four decimal places as needed.) Part 2 (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 499 and 512. The probability that a randomly selected medical student who took the test had a total score that was between 499 and 512 is enter your response here. (Round to four decimal places as needed.) Part 3 (c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 526. The probability that a randomly selected medical student who took the test had a total score that was more than 526 is 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. A. The events in parts (a) and (b) are unusual because their probabilities are less than 0.05. B. The event in part (c) is unusual because its probability is less than 0.05. C. The event in part (a) is unusual because its probability is less than 0.05. D. None of the events are unusual because all the probabilities are greater than 0.05.

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

See similar textbooks

Question content area bottom

Part 1

(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than

487.

The probability that a randomly selected medical student who took the test had a total score that was less than

487

enter your response here.

(Round to four decimal places as needed.)

Part 2

(b) Find the probability that a randomly selected medical student who took the test had a total score that was between

499

and

512.

The probability that a randomly selected medical student who took the test had a total score that was between

499

and

512

enter your response here.

(Round to four decimal places as needed.)

Part 3

526.

The probability that a randomly selected medical student who took the test had a total score that was more than

526

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.

The events in parts

(a) and (b)

are unusual because their probabilities are less than 0.05.

The event in part (c) is unusual because its probability is less

than 0.05.

The event in part

(a)

is unusual because its probability is less than 0.05.

None of the events are unusual because all the probabilities are

greater

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.

Expert Solution