A. Find the probability that x is between six and 12. (Round your answer to four decimal places.) X ~ N(9, 2) B. Find the maximum of x in the bottom quartile. (Round your answer to four decimal places.) X ~ N(8, 9) C. The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a standard deviation of 2 minutes. Sixty percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places.)

Susan jogs to the park each day and the trip takes an average of µ = 22 minutes. The distribution of jog times is approximately normal with a standard deviation of σ = 10 minutes. For a randomly selected day, what is the probability that Susan’s jog to the park will take less than 16 minutes?​ Select one: a. 0.2743 b. 0.8957 c. 0.3236 d. 0.7554

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 206.8 cm and a standard deviation of 0.5 cm. Find the probability that the length of a randomly selected steel rod is greater than 208.4 cm. P(x > 208.4 cm) = P(z > Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 2. -1.5

Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P7, the 7th percentile. This is the bone density score separating the bottom 7% from the top 93%. Which graph represents P7? Choose the correct graph below. A. P7 The bone density score corresponding to P7 is (Round to two decimal places as needed.) B. A P7 2 C. ^ P7 Ly D. A P7

e average American man consumes 9.6 grams of sodium each day. ppose that the sodium consumption of American men is normally stributed with a standard deviation of 0.8 grams. Suppose an American nan is randomly chosen. Let X = the amount of sodium consumed. Round Al numeric answers to 4 decimal places where possible. %3D a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.5 and 10.6 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:

q6

A class is given an exam. The distribution of the scores is normal. The mean score is 78 and the standard deviation is 11. Determine the test score, c such that the probability of a student having a score greater than c is 46%. P(x>c)=0.46

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P50, the 50-percentile. This is the temperature reading separating the bottom 50% from the top 50%. Round to 3 decimal places.