(a) What is the probability that the mean cholesterol level of the sample will be no more than 206? P(y≤ 206) .500 (Round to three decimal places as needed.) (b) What is the probability that the mean cholesterol level of the sample will be between 201 and 211? P(201 <<211) (Round to three decimal places as needed.)

Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.4 seconds. Round to 4 decimal places where possible.   The probability that the wave will crash onto the beach between 1.2 and 2.1 seconds after the person arrives is P(1.2 < x < 2.1) =  The probability that it will take longer than 3.28 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.28) =  Suppose that the person has already been standing at the shoreline for 0.7 seconds without a wave crashing in. Find the probability that it will take between 3 and 3.7 seconds for the wave to crash onto the shoreline.  62% of the time a person will wait at least how long before the wave crashes in?  seconds. Find the minimum for the upper quartile.  seconds. Hint:

A nutritionist claims that the mean tuna consumption by a person in the United States is 3.2 pounds per year with a standard deviation of 0.74 pound. A random sample of 25 people in the United States shows that the mean tuna consumption by a person is 2.9 pounds per year. What is the probability that a random sample of this size has a mean tuna consumption of 2.9 pounds per year or less? Round your answer to 4 decimal places.

The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)

The average yearly salary for an electrician is $51853. Suppose that the distribution is normal with a standard deviation equal to $4850. What is the probability that a random sample of 35 electricians had a mean income greater than $50123? Less than $49730? Assume that the sample is taken from a large population and the correction factor can be ignored. Express each probability as a percent rounded to two decimal places. Income greater than $50123: ____%Income less than $49730: _____%

Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level.   Greater than 190

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 5 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

The mean weight of all Goliath grouper caught on the Treasure coast is 367 pounds, with a standard deviation of 33 pounds. Suppose a random sample of 32 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 32 Goliath Grouper is within 7 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places , if necessary .

What is the probability of scoring above a z-score of -0.08?

Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm. (Round your answers to four decimal places.) If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 63 and 67 mm? What is the probability that the sample mean distance x for these 25 will be at least 68 mm? Suppose that a sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be between 63 and 67 mm?   Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean distance will be at least 68 mm?