On the daily run of an express bus, the average number of passengers is 48. The standard deviation is 3. Assume the data are normally distributed. Find the probability that the bus will have between 38 and 42 passengers on a randomly selected day. Give your answer as a percent rounded to two decimal places (to the nearest hundredth).

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1300lbs. Find the probability that the weight of a randomly selected steer is between 1000 and 1437⁢lbs. Round your answer to four decimal places.

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1539 and 1679lbs. Round your answer to four decimal places.

You want to know the percentage of utility companies that earned revenue greater than 94 million dollars. If the mean revenue was 60 million dollars and the data has a standard deviation of 15 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Last year, the revenue for financial services companies had a mean of 7070 million dollars with a standard deviation of 1818 million. Find the percentage of companies with revenue between 5050 million and 9090 million dollars. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

Find the proportion of Normally distributed observations with a z-score above -1.93. Give your answer to four decimal places.

The histogram displays the number of 2008 births among U.S. women ages 10 to 50 . Each bin represents an interval of two years, and the height of each bin represents the frequency with which the data fall within that interval. A histogram for the number of births by mother’s age for 2008. Height of 62 for ages 14 to 16, height of 202 for ages 16 to 18, height of 369 for ages 18 to 20, height of 415 for ages 20 to 22, height of 441 for ages 22 to 24, height of 470 for ages 24 to 26, height of 487 for ages 26 to 28, height of 460 for ages 28 to 30, height of 403 for ages 30 to 32, height of 326 for ages 32 to 34, height of 252 for ages 34 to 36, height of 177 for ages 36 to 38, height of 99 for ages 38 to 40, height of 46 for ages 40 to 42, height of 17 for ages 42 to 44, and height of 4 for ages 44 to 46. Use the provided histogram to answer questions about the number of births for each age group. How many births occurred among women over the age of 38 ? number of births:What percentage…

In a psychology class, 40 students have a mean score of 89.5 on a test. Then 24 more students take the test and their mean score is 78.3.What is the mean score of all of these students together? Round to one decimal place.

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.