A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 0.5 years. If you randomly purchase 20 items, what is the probability that their mean life will be longer than 12 years? Round your probability to 4 decimals. Showing work is REQUIRED.

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 0.5 years. If you randomly purchase 20 items, what is the probability that their mean life will be longer than 12 years? Round your probability to 4 decimals. Showing work is REQUIRED.

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

A particular fruit's weights are normally distributed with a mean of 589 grams and a standard deviation of 28 grams. Suppose you pick 49 fruits at random. 11% of the time their mean weight will be greater than how many grams? Round your answer to the nearest integer.
The scores on the exam public health professionals take to be certified follows a normal distribution with a mean score of 75 points and a standard deviation of 7 points. What is the probability someone scores 78.5 or less on the exam? Round your answer to 4 decimal places.
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 144 pages if the mean is 186 pages and the standard deviation is 21 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…
The SAT scores for students are normally distributed with a mean of 1150 and a standard deviation of 245. What is the probability that a sample of 30 students will have an average score between 1050 and 1120? Round your answer to 3 decimal places. Group of answer choices 0.110 0.565 0.761 0.239 0.890
Trucks in a delivery fleet travel a mean of 100100 miles per day with a standard deviation of 3535 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 148148 miles in a day. Round your answer to four decimal places.
According to a recent study, the mean number of hours college students spent playing video games per month was 20 hours with a population standard deviation of 1.5 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected. What is the probability that the mean number of hours spent playing video games is less than 19.8 hours? Use the z-table below. Round your answer to three decimal places if necessary. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -1.3 0.097 0.095 0.093 0.092 0.090 0.089 0.087 0.085 0.084 0.082 -1.2 0.115 0.113 0.111 0.109 0.107 0.106 0.104 0.102 0.100 0.099 -1.1 0.136 0.133 0.131 0.129 0.127 0.125 0.123 0.121 0.119 0.117 -1.0 0.159 0.156 0.154 0.152 0.149 0.147 0.145 0.142 0.140 0.138 -0.9 0.184 0.181 0.179 0.176 0.174 0.171 0.169 0.166 0.164 0.161 -0.8 0.212 0.209 0.206 0.203 0.201 0.198 0.195 0.192 0.189 0.187 Provide your answer below:
Please answer within 30min thanks.
Accrotime is a manufacturer of watches. Accotime researchers have shown that watches hwe an average life of 28 months before certain electronic components deteriorate causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months and the distribution is noemal. If Accrotime guarantees a full refund of any defective watch for 1.5 years after the purchase, what percentage of total production will the company expect to replace? Write your answer as a percentage rounded to 1 decimal place. For the toolbar, Press ALT+F10 (PC) or ALT+FN+F10 OMCA) 0 WOAOS POWEASD BY TINY
please very soon full explanation. The time until first failure of a brand of ink jet printers is normally distributed with a mean of 1500 hours anda standard deviation of 160 hours. A large companybuys 4 such printers. What is the probability that the mean lifetime of the 4 printers is more than 1568 hours? Round to 3 decimal places.
Scores from the midterm statistics exam followed a normal distribution with a mean of 69 and a standard deviation of 10. If a student had to score at least an 93 to earn an A, what is the probability that a student earned an A? (Use a table or technology. Round your answer to four decimal places.)