Suppose that the commuting time on a particular train is uniformly distributed between 50 and 70 minutes. a. What isthe probability that the commuting time will be less than 58 minutes? b. What is the probability that the commuting timewill be between 56 and 62 minutes? c. What is the probability that the commuting time will be greater than 56 minutes?d. What are the mean and standard deviation of the commuting time?a. The probability that the commuting time will be less than 58 minutes is(Type an integer or a decimal.)-Vi I.MoreX

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The annual per capita consumption of bottled water was 30.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.5 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 36 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? Instructor tip - X a. The probability that someone consumed more than 36 gallons of bottled water is 0.3361 (Round to four decimal places as needed.) b. The probability that someone consumed between 30 and 40 gallons of bottled water is 0.2829 (Round to four decimal places as needed.) Use Excel functions or the normal probability applet: https://davidmlane.com/hyperstat/z_table.html c. The probability that someone consumed less…
c. mean is 1 and the standard deviation is 0. O d. mean and the standard deviation can have any value. QUESTION 2 Which of the following is a characteristic of the standard normal probability distribution? a. The mean, median, and the mode are not equal b. The distribution is not symmetrical c. The standard deviation must be 0 d. The standard deviation must be 1 Click Save and Submit to save and submit. Click Save All Answers to save all answers.
The rent for a one-bedroom apartment in Wooster is a normally distributed random variable with a mean of $500 and a standard deviation of $50. a. What is the probability that the rent for a one-bedroom apartment will be between $460 and $540? b. Determine the maximum rent of the lowest 20% of all apartments. c. If the rents for 1000 one-bedroom apartments are at least $510, how many one-bedroom apartments are in Wooster?
Suppose that the value of a stock varies each day from $12.22 to $45.34 with a uniform distribution.Given that the stock is greater than $21, find the probability that the stock is more than $31. Give your answer accurate to four decimal places.
6. Find the mean, variance and standard deviation of the following probability distributio 0.176 .241 .213 8. 233 .037
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 normal population has a mean of 80 and a standard deviation of 14. a. Compute the probability of a value 75 or less. b. Compute the probability of a value between 75 and 90. c. Compute the probability of a value greater than 70.
The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 33%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a.) The probability that a pregnancy will last 309 days or longer is....? b.) Babies who are born on or before ____days are considered premature.
The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 41 gallons of bottled water? b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 41 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) d. 99.5% of people consumed less than (Round to two…
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
O 6. Salaries for Actuaries The average salary for gradu- ates entering the actuarial field is $63,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that a. An individual graduate will have a salary over $68,000. b. A group of nine graduates will have a group average over $68,000. Source: www.payscale.com & 7. Commuter Train Passengers On a certain run of : commuter train, the average number of passengers is 476 and the standard deviation is 22. Assume the variable is normally distributed. If the train makes the run, find the probability that the number of passengers will be a. Between 476 and 500 passengers b. Fewer than 450 passengers c. More than 510 passengers
Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55 minutes. What is the standard deviation of the commuting time?

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