At a certain fire station, false alarms are received at a mean rate of .2 per day. In a year, what is the probability that fewer than 52 false alarms are received? Note: You may need to use Excel to calculate the exact probability if the z-score is not in the book's tables. (Consider 365 days a year. Round your standard deviation value to 3 decimal places and z-value to 2 decimal places. Round your final answer to 4 decimal places.)
At a certain fire station, false alarms are received at a mean rate of .2 per...
The downtime per day for a certain computing facility averages 4 hours with a standard deviation of 0.8 hours. Which z-score would you use in order to find the probability that the total downtime for 35 days is less than 130.68 hours. Round the answer to two decimal places
2. (-/1 Points) DETAILS DEVORESTAT9 5.E.079.NVA MY NOTES PRACTICE ANOTHER Suppose that for a certain individual, calorie intake at breakfast is a random variable with expected value 600 and standard deviation 40, calorie intake at lunch is random with expected value 900 and standard deviation 100, and calorie intake at dinner is a random variable with expected value 2100 and standard deviation 180. Assuming that intakes at different meals are independent of one another, what is the probability that average...
2. A fire station logs the number of callouts occuring each day for a year and tabulates the results: O < c(c0-8, c1-12, c2-36, c3-54 , c4-67 , c5-66, с7-37, c8-23, с9-10 , с10-11) c6-41, This means that on 8 days there were zero callouts, on 12 days there was one callout, on 36 days there were two callouts, and so on up to 11 days when there were 10 callouts. We wish to test the hypothesis that the number...
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (). The MegaStat output is reported below ANOVA table...
An employee sample estimated the standard deviation of emails received per day to be 155 emails. You are researching the average emails received per day. You want to know how many employees you should survey if you want to know, at a 90% confidence level, that the sample mean emails per day is within 47 emails of the true mean emails per day. Use Excel to find the value for z you should use to calculate a 90% confidence level....
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (). The MegaStat output is reported below. ANOVA table...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.918 g and a standard deviation of 0.285 g. Find the probability of randomly selecting a cigarette with 0.662 g of nicotine or less. P(X < 0.662 g) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.955 g and a standard deviation of 0.305 g. Find the probability of randomly selecting a cigarette with 0.62 g of nicotine or less. P(X < 0.62 g) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The time required for an oil change at a certain service station follows a distribution with mean 11.4 minutes and standard deviation 3.2 minutes. A random sample of 40 oil changes is selected. (a) Explain why the sampling distribution of ¯ x, the mean time of 40 oil changes, is approximately normally. (b) Find the mean and the standard deviation of the sampling distribution of ¯ x. Round your answers to one decimal place. (c) What is the probability that...