A population of values has a normal distribution with μ=165.6 and σ=84.7. You intend to draw a random sample of size n=59. Find the probability that a single randomly selected value is between 133.6 and 146.9. P(133.6 < X < 146.9) = Find the probability that a sample of size n=59 is randomly selected with a mean between 133.6 and 146.9. P(133.6 < M < 146.9) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. b. Find the probability that this American man consumes between 9.3 and 9.9 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium?Low: High:

Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Draw a sketch. Choose the correct graph below.

A population of values has a normal distribution with μ=74.1μ=74.1 and σ=17.3σ=17.3. A random sample of size n=73n=73 is drawn. Find the probability that a sample of size n=73n=73 is randomly selected with a mean greater than 78.4. Round your answer to four decimal places. P(M>78.4)=P(M>78.4)=

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. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X N( b. Find the probability that a randomly selected fat calorie percent is more than 40. c. Find the minimum number for the lower quarter of percent of fat calories.

average number of pounds of meat that a person consumes per year is 218pounds. Assume that the standard deviation is 26 pounds and the distribution is approximately normal. 1- Find the probability that a person selected at random consumes less than 224 pounds per year 2-1f a sample of 50 individuals is selected find the probability that the mean of the sample will be less than 224 pounds per year

The average THC content of marijuana sold on the street is 9.4%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 7.9. Round to 4 decimal places. c. Find the 65th percentile for this distribution. Round to 2 decimal places.