Exercise 06.25 (Normal Probability Distribution) b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? According to Money magazine, Maryland had the highest mean annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a mean of $75,847 and standard deviation of $33,800. a. What is the probability that a household in Maryland has an annual income of $100,000 or more (to 4 decimals)? c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? ◄ Question 9 of 16 Hint(s) Check My Work d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $

The average monthly cable bill in 2016 has been reported to be ​$92.Assume monthly cable bills follow a normal distribution with a standard deviation of $8.50.   a. What is the probability that a randomly selected bill will be 4. between ​$85 and ​$95​?   b. Which monthly cable bill represents the 65th ​percentile?

The price of lunch at the mall has a mean of $5.00. The standard deviation is $1.50. What is the probability of spending less than $5.62? 0.6603 1.000 0.5000 0.3397

The household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 25 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations about the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.  If 64 applications are randomly selected, what is the probability that the mean credit rating of these 64 applicants will be between 205 and 275. (Round your answer to 4 decimal places.) (Calculator: http://statisticshelper.com/normal-distribution-calculator) A. 0.5011 B. 0.4113 C. 0.2119 D. 0.3664

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. A. IN EXCEL sketch this exponential distribution, and Standard deviation. B. IN EXCEL What is the probability that the arrival time between vehicles is 12 seconds or less. C. IN EXCEL What is the probability that the arrival time between vehicles is 6 seconds or less.

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3737 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 150150 miles in a day. Round your answer to four decimal places.

Boston, Massachusetts, averages 211.7 sunny days per year. Assume that the number of sunny days  follows a normal distribution with a standard deviation of 20 days.   20 What is the probability that Boston has less than  200 sunny days in a given year? a 0.2394                 b 0.2520                 c 0.2653                 d 0.2793