) Find the probability that the length of time a person shows flu symptoms is at most 9 days. ) Find the probability that, in a sample of 37 people, the average length of time the people show flu ymptoms is between 6.3 and 7 days. ) Find the probability that, in a sample of 9 people, the average length of time the people show flu ymptoms is at least 5.2 days. Assume that the data is normally distributed.

) Find the probability that the length of time a person shows flu symptoms is at most 9 days. ) Find the probability that, in a sample of 37 people, the average length of time the people show flu ymptoms is between 6.3 and 7 days. ) Find the probability that, in a sample of 9 people, the average length of time the people show flu ymptoms is at least 5.2 days. Assume that the data is normally distributed.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 30% of the firm's orders are from first time customers. Consider random sample of 84 orders. Find…

A: Given,n=84p=0.30

Q: An airline knows from experiences that the distribution of the number of suitcases that get lost…

A: Let "X" be the number of suitcases that get lost each week on a certain route.

Q: Let XX represent the full height of a certain species of tree. Assume that XX has a normal…

A: We have given that X = 202.2 Mean = 216.7 And standard deviation = 6.6 We have to find out the value…

Q: omers using a self-service soda dispenser take an average of 11 ounces of soda with an SD of 2…

A: Calculate the z score by using the formula: z=x-μσ=9-112=-1 Calculate the probability that a…

Q: Recently, a nurse commented that when a patient calls the medical advice line claiming to have the…

A: Givensample size(n)=25p=4%=0.04

Q: The length of a pregnancy is normally distributed with a mean of 268 days and a standard dev of…

Q: A jar contains green wrapped candies and yellow wrapped candies. A person selects two wrapped…

Q: An amusement park ride has a bench seat designed for two passengers in each row. In this scenario,…

Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: An airline knows from experiences that the distribution of the number of suitcases that get lost…

A: Let "X" be the number of suitcases that get lost each week on a certain route.

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

Q: Suppose a household’s income is randomly drawn from the uniform distribution [0,10]. If the…

A: Given : X~U0,10 where X denotes the income. PX<A=0.1

Q: An company tracks their workplace accidents. They determine that each month, the probability of no…

A: Given data Probability of no workplace accidents(q) = 0.8 Probability of atleast one or more…

Q: Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2…

A: Given that, Assume that the height of a type of tree has a normal probability distribution with a…

Q: Assume that 35.4% of people have sleepwalked. Assume that in a random sample of 1490 adults, 565…

A: Given p=0.334 n=1490

Q: Suppose a very safe driver has a likelihood of getting into an accident of 1/20 every year.…

A: Given Rate=1/20 every year P(X≥1)=? Let X be the number of accident

Q: An average of many different studies of handedness indicate that in a random sample of…

A: Percentage of men left-handedPercentage of women left-handedTotal menTotal women

Q: An airline knows from experiences that the distribution of the number of suitcases that get lost…

A: Let "X" be the number of suitcases that get lost each week on a certain route.

Q: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…

A: Since the probability for the given variable (that is discrete in nature), i.e., the probability of…

Q: al Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

2. Suppose that the mean length of time a person shows flu symptoms is 7.2 days with a standard
deviation of 1.8 days.
a) Find the probability that the length of time a person shows flu symptoms is at most 9 days.
b) Find the probability that, in a sample of 37 people, the average length of time the people show flu
symptoms is between 6.3 and 7 days.
c) Find the probability that, in a sample of 9 people, the average length of time the people show flu
symptoms is at least 5.2 days. Assume that the data is normally distributed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Notations

Part (a)

Part (b)

Part (c)

Step by step

Solved in 4 steps with 3 images

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

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 119 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 121 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 121 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 121 cm. Probability =
The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.
4. Discrete probability distributions #1 You may calculate the answers of the following questions using the appropriate probability distribution function from the equations in your textbook. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). Who's so vain? A survey conducted by the American Association of Motor Vehicle Administrators (AAMVA) and Stefan Lonce, author of LCNS2ROM- License to Roam: Vanity License Plates and the Stories They Tell, reveals that Virginia motor vehicle owners are the vainest. Approximately 16% of Virginia license plates are vanity plates. Select a Distribution…
A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. Using a test statistic of ț ~. 1 .971 , the significance level α-0.05, and the corresponding p-value between 0.05 and O. 10, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is Ho·Ha-0 and the alternative hypothesis is Select all that apply: Reject the null hypothesis. Fail to reject the null hypothesis. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different. The conclusion of the hypothesis test is…
A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
Three people are invited to participate in a seminar. Assume all four people arrives independently, and the probability of any one of them is late is 0.2. Let X be the number of late participants of the seminar. Find the distribution (pmf) of X. Calculate the mean and the variance of X.
Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791
Assume the probability that a maple tree at age 10 grows less than 110 cm is equal to 0.4. If the height of maple trees at age 10 are estimated to be normally distributed with mean u cm and variance 100 cm. find u.
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =
1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.
Suppose that the probability that a patient admitted in a hospital is diagnosedwith a certain type of cancer is 0.03. Suppose that on a given day 10 patients areadmitted and X denotes the number of patients diagnosed with this type of cancer.Determine the probability distribution of the random variable X. Find the meanand the variance of X