A bottling company uses a filling machine to fill plastic bottles with an orange juice. In fact, the contents of bottles vary according to a normal distribution with mean u = 298 ml and standard deviation a = 3 ml. The probability of bottles that contain less than 301.12 ml is equal to: (a) 0.0158. (b) 0.1492. (c) 0.8508 (d) None of the above.

A bottling company uses a filling machine to fill plastic bottles with an orange juice. In fact, the contents of bottles vary according to a normal distribution with mean u = 298 ml and standard deviation a = 3 ml. The probability of bottles that contain less than 301.12 ml is equal to: (a) 0.0158. (b) 0.1492. (c) 0.8508 (d) None of the above.

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...

See similar textbooks

Similar questions

The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
The weight of a green forest frog has a normal distribution with mean 150.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs: i. Less than 153g ii. Between 150 g and 158 g
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
The duration of a lunch break for one employee at a manufacturing company follows a normal distribution with mean μ minutes and standard deviation 5 minutes. The probability that a lunch break lasts for more than 52 minutes is 0.25. Find the value of μ.
Suppose a life insurance company sells a $170,000 1-year term life insurance policy to a 20-year-old female for $170. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. The expected value of this policy to the insurance company is $92.48. What is the standard deviation of the value of the life insurance policy? Why is the value so high?
The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. For the following questions: 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.
A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 65 with a standard deviation of 10. Assume that the distribution is approximately normal. (a) What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? answer: (b) What is the probability that an elite athlete has a maximum oxygen uptake of 60 ml/kg or lower? answer: (c) Consider someone with a maximum oxygen uptake of 31 ml/kg. Is it likely that this person is an elite athlete? Write "YES" or "NO." answer:
A particular fruit's weights are normally distributed, with a mean of 300 grams and a standard deviation of 24 grams. If you pick one fruit at random, what is the probability that it will weigh between 279 grams and 332 grams. (Express your answer to 4 decimal places.)
a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no
The grade point average for ALL juniors at a large college has a standard deviation of 0.50. A random sample of 20 students is to be used to estimate the population mean grade point average. What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean?
A certain brand of automobile tire has a life expectancy that is normally distributed with a mean of µ= 20000 miles and standard deviation of o= 2500miles. What is the probability that a randomly chosen tire will last for 20000 miles or more? Select one: a. 0.1047 O b. 0.5 O c. 0.1784 O d. 0.1064