The incomes of a certain large population of electricians follow a Normal distribution with mean $60,000 and standard deviation $5000.  What is the probability that an electrician chosen at random from this population will have a salary between $59,000 and $65,000?   (Give a proportion to 4 decimal places.)

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 260 lbs? Round your answer to three decimal places, eg 0.192.

The average student loan debt for college graduates is $25,850. Suppose that that distribution is normal and that the standard deviation is $14,000. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. %3D a. What is the distribution of X? X N( b Find the probability that the college graduate has between $21,400 and $34,250 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that the person is between 62 and 63.9 inches. c. The middle 40% of Martian heights lie between what two numbers? Low: inches High: inches

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.8 feet and a standard deviation of 0.4 feet. A sample of 74 men’s step lengths is taken.   Step 1 of 2:  Find the probability that an individual man’s step length is less than 2.3 feet. Round your answer to 4 decimal places, if necessary

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.32 feet and a standard deviation of 0.40 feet. A sample of 83 men’s step lengths is taken.   Step 1 of 2 :   Find the probability that an individual man’s step length is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.

r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of  510  and a standard deviation of  170 . The grading process of this year's exam has just begun. The average score of the  40  exams graded so far is  526 . What is the probability that a sample of  40  exams will have a mean score of  526  or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 190000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 73 graduates.Find the probability that a single randomly selected policy has a mean value between 186207.9 and 187471.9 dollars.P(186207.9 < X < 187471.9) =  (Enter your answers as numbers accurate to 4 decimal places.)Find the probability that a random sample of size n=73n=73 has a mean value between 186207.9 and 187471.9 dollars.P(186207.9 < M < 187471.9) =  (Enter your answers as numbers accurate to 4 decimal places.)