This question: 1Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours.(a) What proportion of light bulbs will last more than 62 hours?(b) What proportion of light bulbs will last 51 hours or less?(c) What proportion of light bulbs will last between 59 and 62 hours?(d) What is the probability that a randomly selected light bulb lasts less than 45 hours?(a) The proportion of light bulbs that last more than 62 hours is.(Round to four decimal places as needed.)(b) The proportion of light bulbs that last 51 hours or less is(Round to four decimal places as needed.)(c) The proportion of light bulbs that lasts between 59 and 62 hours is(Round to four decimal places as needed.)(d) The probability that a randomly selected light bulbs lasts less than 45 hours is(Round to four decimal places as needed.)Ask my instructorType here to search立

Answered: Image /qna-images/answer/e399cad9-c1c3-41ea-9718-fb2a5ff8fd17.jpg

Answered: Suppose that the lifetimes of light…

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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Suppose that the weight of seedless watermelons is normally distributed with mean 6.8 kg. and standard deviation 1.7 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. e. What is the probability that a randomly selected seedless watermelon will weigh between 7 and 7.5 kg? f. The 85th percentile for the weight of seedless watermelons is kg.
the weekly amount of money spent on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed with a mean u= $615 and standard deviation of $42. A) if $646i budgeted for next week, what is the probability the actual costs will exceed the budgeted amount? B) how much should be budgeted for weekly repairs, cleaning and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.10?
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.1 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.23 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.42 grams? c) What proportion of mice have a mass between 20.22 and 20.37 grams?
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.2 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.04 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.54 grams? c) What proportion of mice have a mass between 20.16 and 20.42 grams? d) 10% of all mice have a mass of less than grams.
A software company is interested in improving customer satisfaction rate from the 60% currently claimed. The company sponsored a survey of 148 customers and found that 95 customers were satisfied. What is the test statistic z?
In the field of accountancy, times spent studying by students in the week before professional exams follow a Normal distribution with a standard deviation of 8 hours. A random sample of 4 students was taken in order to estimate the mean study time for the population of all students. a) What is the probability that the sample mean exceeds the population mean by more than 2 hours? b) What is the probability that the sample mean differs from the population mean by more than 4 hours? c) Suppose that a second (independent) random sample of 10 students was taken. Without doing any calculations, state whether the probabilities in parts (a) and (b) would be higher, lower or the same for the second sample.
3. Calculate the mean, variance, and standard deviation of a binomial probability distribution, using the data: n = 9, x = 6, q = 0.75. a) Average b) Variance c) Standard Deviation
The ages of workers in the Illuminex plant are approximately normally distributed, with a mean of 45 years and a standard deviation of 12 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this worker is a) less than 30 years old?b) between 35 and 55 years old?c) more than 60 years old?
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
a) Attendance at large exhibition shows in Denver averages about 8000 people per day, with standard deviation of about 475. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.) What is the probability that the daily attendance will be fewer than 7200 people? What is the probability that the daily attendance will be more than 8900 people? What is the probability that the daily attendance will be between 7200 and 8900 people? b) Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 56 minutes. Assume that the arrival times follow a normal distribution. At what time after the doors open will 92% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) ____minutes after…

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