3. In preparation for the Olympics, an alpine skier is practicing a particular course. Theamount of time it takes her to complete a single run of the course follows a normaldistribution with a mean of 100 seconds and a standard deviation of 2 seconds.a. What is the probability it takes her more than 112.5 seconds to complete a singlerun of the course?b. The probability that she completes a run in less thanseconds is equal to 0.0901.c. If she runs the course 9 times, what is the probability that her average time will bebetween 108.4 and 111.2 seconds?

Let X denote the time to complete a single run. Given that X follows N(mean = 100, SD = 2), then Z =…

Answered: 3. In preparation for the Olympics, an…

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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The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $840 and a standard deviation of $260. Assume that the balances on all these Visa cards follow a normal distribution.a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1050 and $1420?Round your answer to three decimal places.P= Enter you answer in accordance to the item a) of the question statementb. What percentage of the Visa cards issued by this bank have a balance of $735 or more?Round your answer to two decimal places.P= Enter you answer in accordance to the item b) of the question statement %
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
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The Greenville Power Authority states that the mean monthly energy bill for their customers is $228 with a standard deviation of $38. They know that energy bills follow a normal distribution. a. Between what two values do we expect 99.7% of energy bill’s to fall? b. What is the probability of a randomly selected energy bill at least $190?
The household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. A wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy. Find the probability of a pregnancy lasting 308 days or longer. b. A baby is premature if the length of pregnancy is in the lowest 3%. Find the length that separates premature babies from those who are not premature. Must use Excel to solve! To translate/copy the numbers ONLY is ok. You CANNOT copy the entire question onto Excel. Otherwise, 10% penalty will apply! Search SAMSUNG
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
3. A study of the amount of time it takes to rebuild the transmission for a 2005 Chevy Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. Find the probability that their mean rebuild time exceeds 8.7 hours
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Boston, Massachusetts, averages 211.7 sunny days per year. Assume that the number of sunny days follows a normal distribution with a standard deviation of 20 days. 20 What is the probability that Boston has less than 200 sunny days in a given year? a 0.2394 b 0.2520 c 0.2653 d 0.2793
Assume that the number of days from conception to birth is normally distributed with a mean of 258 days and a standard deviation of 10 days. What is the probability that my pregnancy will be between 238 and 278 days? O 75 85 47.5 98 O 95

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