NORMAL DISTRIBUTION9) In a country, the probability of a letter posted by Pos Laju' will reach its destinationwithin 24 hours is 0.2. Assume that 200 letters are posted by Ros Laju'. By usingnormal approximation find the probability that more than 50 letters reach itsdestination within 24 hours.10) A fair coin is toss 100 times. By using normal approximation, find the probability thatless than 35 head are obtained.

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 9) In a country, the probability of a…

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

Similar questions

The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.62. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
The mean incubation time of fertilized chicken eggs kept at 100.5 degrees F in a still-air incubator is 21 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Find an interpret the probability that a a sample of 12 selected fertilized chicken egg hatches in less than 20 days. Edit View Insert Format Tools Table BI U 2. 12pt v Paragraph v B I
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of 10. Suppose that one individual is chosen at random. Find the following (round to 4 decimal places) a) Find the probability that the percent of fat calories a person consumes is more than 40. b) Find the probability that the percent of fat calories a person consumes is less than 35. c) Find the maximum number for the lower quartile of percent of fat calories. d) The middle 70% of the percent of fat calories are from 4 to
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.75. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.680.68.Part a)What is the probability that the time between consecutive customers is less than 15 seconds?Part b)Find the probability that the time between consecutive customers is between ten and fifteen seconds.Part c)Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
2) Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and the standard deviation is 61 days. a) Find the distribution by filling in the blanks: X~N( b) Find the probability of batteries that have lifetimes longer than 561 days? Round to 4 decimals. c) Find the probability of batteries that have lifetimes at most 497 days? Round to 4 decimals.
The change in temperature during the fall fluctuates randomly each day, with mean of -9°, and a standard deviation of 47°.a)You decide to randomly pick 22 days and note the change in temperature. What is the probability that the average of your sample will be positive?b) You don't like the answer to part a, so you do the random sample again, this time of 121 days. Now what is the probability that the average of your sample will be positive?
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.47. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 31 liters, and standard deviation of 2.7 liters.A) What is the probability that daily production is less than 37 liters? Use technology (not tables) to get your probability. Answer= (Round your answer to 4 decimal places.) B) What is the probability that daily production is more than 27.9 liters? Use technology (not tables) to get your probability. Answer= (Round your answer to 4 decimal places.) Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.
A local chess club claims that the length of time to play a game has a standard deviation of less than 11 minutes. Write sentences describing type I and type Il errors for a hypothesis test of this claim. A type I error will occur if the actual standard deviation of the length of time to play a game is V 11 minutes, but you the null hypothesis, A type Il error will occur if the actual standard deviation of the length of time to play a game is 11 minutes, but you the null hypothesis,
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.41Part a)What is the probability that the time between consecutive customers is less than 15 seconds?Part b)Find the probability that the time between consecutive customers is between ten and fifteen seconds.Part c)Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

9) In a country, the probability of a letter posted by Pos Laju' will reach its destination within 24 hours is 0.2. Assume that 200 letters are posted by Pos Laju'. By using normal approximation find the probability that more than 50 letters reach its destination within 24 hours.