Vey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.8 inches and a standard deviution of 3 0 in study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 65 inches. ...... The probability that the study participant selected at random is less than 65 inches tall is(Round to four decimal places as needed) (b) Find the probability that a study participant has a height that is between 65 and 70 inches. The probability that the study participant selected at random is between 65 and 70 inches tall is(Round to four decimal places as nended) (c) Find the probability that a study participant has a height that is more than 70 inches. (Round to four decimal places as needed) The probability that the study participant selected at random is more than 70 inches tall is (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. nl because all of their probabilities are less than 0.05.
Vey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.8 inches and a standard deviution of 3 0 in study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 65 inches. ...... The probability that the study participant selected at random is less than 65 inches tall is(Round to four decimal places as needed) (b) Find the probability that a study participant has a height that is between 65 and 70 inches. The probability that the study participant selected at random is between 65 and 70 inches tall is(Round to four decimal places as nended) (c) Find the probability that a study participant has a height that is more than 70 inches. (Round to four decimal places as needed) The probability that the study participant selected at random is more than 70 inches tall is (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below. nl because all of their probabilities are less 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
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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.8 inches and a standard deeviation of 3.0 inches A
study participant is randomly selected. Complete parts (a) through (d) below.
(a) Find the probability that a study participant has a height that is less than 65 inches.
...
The probability that the study participant selected at random is less than 65 inches tall is (Round to four decimal places as needed)
(b) Find the probability that a study participant has a height that is between 65 and 70 inches.
The probability that the study participant selected at random is between 65 and 70 inches tall is(Round to four decimal places as neaded)
(c) Find the probability that a study participant has a height that is more than 70 inches.
The probability that the study participant selected at random is more than 70 inches tall is (Round to four decimal places as needed )
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.
O B. The event in part (a) is unusual because its probability is less than 0.05.
O C. There are no unusual events because all the probabilities are greater than 0.05.
The events in parts (a) and (c) are unusual because its probabilities are less than 0.05.
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