Question

In: Statistics and Probability

The amount Lucie spends on gasoline each month is normally distributed with a mean of $74...

The amount Lucie spends on gasoline each month is normally distributed with a mean of $74 and a standard deviation of $8. What percentage of her gasoline spending are between $50 and $98?

Solutions

Expert Solution


Related Solutions

The amount of time a shopper spends in the supermarket is normally distributed with a mean...
The amount of time a shopper spends in the supermarket is normally distributed with a mean of 45 minutes with a standard deviation of 12 minutes. If 10 shoppers are selected, how many of them will spend less than 35 minutes? Round your answer to 3 decimal places. Do not include units in your answer. 4 points QUESTION 13 The amount of time a shopper spends in the supermarket is normally distributed with a mean of 45 minutes with a...
The scores on a math test are normally distributed with a mean of 74 and a...
The scores on a math test are normally distributed with a mean of 74 and a standard deviation of 8. The test scores range from 0 to 100. Seven students had test scores between 82 and 98. Estimate the number of students who took the test.
74. IQ is normally distributed with a mean of 100 and a standard deviation of 15....
74. IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. X ~ _____(_____,_____) Find the probability that the person has an IQ greater than 120. Include a sketch of the graph, and write a probability statement. MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. Sketch...
Algebra scores in a school district are normally distributed with a mean of 74 and standard...
Algebra scores in a school district are normally distributed with a mean of 74 and standard deviation 6. A new teaching-and-learning system, intended to increase average scores, is introduced to a random sample of 30 students, and in the first year the average was 76. (a) What is the probability that an average as high as 76 would have been obtained under the old system? (b) What is the null hypothesis for testing the new system, and what is the...
Assume that females have pulse rates that are normally distributed with a mean of 74 beats...
Assume that females have pulse rates that are normally distributed with a mean of 74 beats per minute and a standard deviation of 12.5 beats per minute. (a) If 1 adult female is randomly selected find the probability that her pulse rate is less than 80 beats per minute. (b) if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute (2a) if 1 adult female is...
A normally distributed population has a mean of 74 and a standard deviation of 14. Determine...
A normally distributed population has a mean of 74 and a standard deviation of 14. Determine the probability that a random sample of size 24 has an average between 71 and 80. Round to four decimal places.
Assume that the amount of cornflakes in a box is normally distributed with a mean of...
Assume that the amount of cornflakes in a box is normally distributed with a mean of 16 oz. and a standard deviation of 0.1 oz. a) Determine the percent of boxes that will contain between 15.83 oz. and 16.32 oz. of cornflakes? b) Determine the percent of boxes that will contain more than 16.16 oz. of cornflakes. c) If the manufacturer produces 300,000 boxes, how many of them will contain less than 15.83 oz. of cornflakes? d) If the manufacturer...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
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. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
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. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters​? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean...
Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean μ = 55 g and standard deviation σ = 1.5 g. What is the probability that d. What is the amount of sugar such that we can know that 97.5% of the cans will have less than that amount of sugar? e. Suppose that at the plant we randomly sample 25 cans. What is the probability that their average amount of sugar is more...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT