1) The time until recharge for a battery in a smartphone is normally distributed with amean of 250 minutes and a standard deviation of 55 minutes.a. What is the probability that a battery lasts for more than 300 minutes?b. What is the probability that a battery will last for 240 to 360 minutes?c. What is the probability that the battery will last for less than an hour?

a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: 1) The time until recharge for a…

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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A personal computer is used for office work at home, research, communication, personal finances, education, entertainment, social networking, and a myriad of other things. Suppose that the average number of hours a household personal computer is used for entertainment is two hours per day. Assume the times for entertainment are normally distributed and the standard deviation for the times is half an hour. a. Find the probability that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day.
A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699
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?
or H0: 2 44, if a sample gave mean value of 50 with confidence interval (CI) of 47 53. It can be concluded that there is to reject HO cause fficient, the upper limit of the CI is higher than 50 fficient, the lower limit of the CI is lower than 50 ufficient, the upper limit of the CI is lower than 50 ficient, the lower limit of the CI is higher than 44 fficient, the upper limit of the Cl is higher than 44
Assume that adults have IQ scores that are normally distributed with a mean of 97.9 and a standard deviation of 24.8. Find the probability that a randomly selected adult has an IQ greater than 135.8. The probability that a randomly selected adult from this group has an IQ greater than 135.8 is?
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 waiting time before service in a bank is exponentially distributed with a mean waiting time of 5 minutes.a. What is the median waiting time.b. You enter the bank and find that your friend has been waiting in the queue for service for past 2 minutes. Upon your arrival what is the probability that your friend will wait for another 4 minutes?c. What is the mean and variance of the waiting time in the bank?
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
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 3%,then the baby is premature. Find the length that separates premature babies from those who are not premature.

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