In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.1 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. (a) Find the probability that a study participant has a height that is less than 68 inches.The probability that the study participant selected at random is less than 68 inches tall is|. (Round to four decimal places as needed.)(b) Find the probability that a study participant has a height that is between 68 and 72 inches.The probability that the study participant selected at random is between 68 and 72 inches tall is(Round to four decimal places as needed.)(c) Find the probability that a study participant has a height that is more than 72 inches.The probability that the study participant selected at random is more than 72 inches tall is. (Round to four decimal places as needed.)(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.A. The event in part (a) is unusual because its probability is less than 0.05.B. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.C. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.D. There are no unusual events because all the probabilities are greater than 0.05.

μ=69.1σ=3 a) The required probability is P(X<68)=P(X-μσ<68-69.13)…

Answered: (a) Find the probability that a study…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

See similar textbooks

Related questions

Concept explainers

Question

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.1 inches and a standard deviation of 3.0 inches. A study participant is randomly selected.

(a) Find the probability that a study participant has a height that is less than 68 inches.
The probability that the study participant selected at random is less than 68 inches tall is
|. (Round to four decimal places as needed.)
(b) Find the probability that a study participant has a height that is between 68 and 72 inches.
The probability that the study participant selected at random is between 68 and 72 inches tall is
(Round to four decimal places as needed.)
(c) Find the probability that a study participant has a height that is more than 72 inches.
The probability that the study participant selected at random is more than 72 inches tall is. (Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A. The event in part (a) is unusual because its probability is less than 0.05.
B. The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
C. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
D. There are no unusual events 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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions