What is the probability of each of the following:
A process is normally distributed with a mean of 2.0 and a standard deviation of 0.05....
The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters:: The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random...
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If you select a random sample of 25 bottles, what is the probability that the sample mean will be between 1.99 and 2.0 liters? below 1.98 liters? greater than 2.01 liters? The probability is 99% that the sample mean amount of soft drink will be at least how much? The probability is 99% that the...
The fill amount in 2-liter soft drink bottles is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If bottles contain less than 95% of the listed net content (1.90 liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of the bottles will contain between 1.90 and 2.0...
A random variable is normally distributed with a mean of 30 and a standard deviation of 5. If an observation is randomly selected from the distribution, a. What value will be exceeded 15% of the time? b. What value will be exceeded 80% of the time? c. Determine two values of which the smaller has 5% of the values below it and the larger has 5% of the values above it. d. What value will 20% of the observations be...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
all questions. Do not round answers 1. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. a. What percentage of scores is between 55 and i 15? b. In a group of 20,000 randomly selected individuals, how many have an IQ score of 130 or more? 2. A Honda Civic has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 33 mpg and a standard deviation of...
A random variable is normally distributed with a mean of u = 90 and a standard deviation of o = 10. (a) The following figure shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 60 and 120). Areas Under the Curve for any Normal Distribution 99.7% 95.4% + 68.3% – pi - 30 -lo u u + lo u + 30 A...
The contents of soft drink bottles are normally distributed with a mean of twelve ounces and a standard deviation of two ounce. a. What is the probability that a randomly selected bottle will contain more than ten ounces of soft drink? b. What is the probability that a randomly selected bottle will contain between 9.5 and 11 ounces? c. What percentage of the bottles will contain less than 10.5 ounces of soft drink?
3. The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.08 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.90 and 2.01 liters? b. What is the probability that the sample mean will be below 1.80 liters? The probability is 90% that the sample mean amount of soft drink will be between...
Assume that thermometer readings are normally distributed with a mean of 0degrees°C and a standard deviation of 1.00degrees°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.500.50 and 1.50 The probability of getting a reading between 0.500.50degrees°C and 1.501.50degrees°C is?