The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 34 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 38 days, 32 days, and 46 days. Find the z-score that corresponds to each life span. Determine whether an of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 39 days, 44 days, and 24 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 38 days is (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 32 days is (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 46 days is (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. O A. 46 days O B. 38 days

The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 34 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 38 days, 32 days, and 46 days. Find the z-score that corresponds to each life span. Determine whether an of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 39 days, 44 days, and 24 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 38 days is (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 32 days is (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 46 days is (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. O A. 46 days O B. 38 days

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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Concept explainers

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

The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 34 days and a standard deviation of 5 days.
(a) The life spans of three randomly selected fruit flies are 38 days, 32 days, and 46 days. Find the z-score that corresponds to each life span. Determine whether any
of these life spans are unusual.
(b) The life spans of three randomly selected fruit flies are 39 days, 44 days, and 24 days. Using the Empirical Rule, find the percentile that corresponds to each life
span.
(a) The z-score corresponding a life span of 38 days is
(Type an integer or a decimal rounded to two decimal places as needed.)
The z-score corresponding a life span of 32 days is
(Type an integer or a decimal rounded to two decimal places as needed.)
The z-score corresponding a life span of 46 days is
(Type an integer or a decimal rounded to two decimal places as needed.)
Select all of the life spans that are unusual.
O A. 46 days
O B. 38 days
O C. 32 days
Click to select your answer(s).
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99

(a) The lite spans
of these life spans are unusual.
(b) The life spans of three randomly selected fruit flies are 39 days, 44 days, and 24 days
span.
A. 46 days
B. 38 days
C. 32 days
D. None of the life spans are unusual.
(b) Determine the percentiles using the Empirical Rule.
The 39 day fruit fly corresponds to the
The 44 day fruit fly corresponds to the
The 24 day fruit fly corresponds to the
(Type an integer or a decimal.)
th percentile.
th percentile.
th percentile.
Click to select your answer(s).

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