Determine if the finite correction factor should be used. If​ so, use it in your calculations when you find the probability. In a sample of 900 gas​ stations, the mean price for regular gasoline at the pump was $2.838 per gallon and the standard deviation was ​$0.009 per gallon. A random sample of size 55 is drawn from this population. What is the probability that the mean price per gallon is less than ​$2.835​?

The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.91 inch?  a. 0.1915 b. 0.2785 c. 0.6170 d. 0.3185 e. 0.3085

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 420 grams and a standard deviation of 24 grams. Find the weight that corresponds to each event. a. highest 20 percent b. middle 60 percent c. highest 80 percent d. lowest 15 percent

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

All California 5th graders take a standardized test. The mean for the population of 5th graders is 68.9 and the standard deviation for the population is 10. What is the probability of randomly selecting a student who scored   a. ≥ 85? b. less than or equal to 85? c. between 80 & 85? d. between 60 & 85?

Sketch the distribution and shade the area corresponding to the probability you want to find. Then. find the probability. The average commute time in Orange County is normally distributed and 25% of commuters take more than 30 minutes to commute. The standard deviation of such commutes is 6 minutes. A. What is the average commute time? B. What percentage of commuters takes less than 15 minutes to commute? C. What percentage of commuters takes between 25 and 35 minutes to commute?

The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707

The heights of 100 students are normally distributed with a mean of 172 cm. What is the standard deviation of the heights given that the probability of a height above 180 cm is 0.25? Select one: a. 7.9 cm b. 9.9 cm c. 10.5 cm d. 8.7 cm e. 11.9 cm