he distribution of the number of items produced by an assembly line during an 8-hour shift can be approximated by a normal distribution with mean value 150 and standard deviation 10. (You may need to use a table. Round your answers to four decimal places.)   (a) What is the approximate probability that the number of items produced is at most 120?   (b) What is the approximate probability that at least 125 items are produced?   (c) What is the approximate probability that between 135 and 159 (inclusive) items are produced?

A-C please

need the answer to part 2

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. Part (a) Give the distribution of X. X-N 36 10 Part (b) Find the probability that the percent of fat calories a person consumes is more than 40. (Round your answer to four decimal places.) X

Student scores on Professor of Stats final exam are normally distributed with a mean of 73 and a standard deviation of 6.5Find the probability of the following:**(use 4 decimal places)**a.) The probability that one student chosen at random scores above an 78. ________b.) The probability that 20 students chosen at random have a mean score above an 78. _________c.) The probability that one student chosen at random scores between a 68 and an 78. __________d.) The probability that 20 students chosen at random have a mean score between a 68 and an 78. __________

A recent study found that the average length of caterpillars was 2.8 centimeters with a standard deviation of 0.7 centimeters.  Assuming that the lengths of all caterpillars is normally distributed, what is the probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters? P(x > 4.0 cm) = ___________ Type in your final decimal solution for the probability rounded to four decimal places.

what is the mean number of devices per account what is the standard deviation of the distribution what is the probability that the number of devices in a randomly selected account lies within one standard deviation of the mean

The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable.(a) Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean_________ml (b) Where should the mean be set to ensure a 99 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean______ml (c)Where should the mean be set to ensure a 99.9 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean______ml

Slove the questions showing work step by step