Continuous Distributions: The nicotine content of a certain brand of cigarettes is normally distributed with a mean of 2.0 mg and a standard deviation of 0.25 mg. What is the probability that a cigarette has a nicotine content: a) of 1.6 mg or less? b) between 1.6 and 2.1 mg? c) of 2.1 mg or more?

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.   a. The probability that a pregnancy will last 309 days or longer is   ​(Round to four decimal places as​ needed.)   b. Babies who are born on or before____days are considered premature. ​   (Round to the nearest integer as​ needed.)

The average annual salary for all U.S. teachers is 47,750. Assume that the distribution is normal and the standard deviation is $5,680. find the probability that a ramdmly selected teacher earns a. between 35,000 and 45,000 a year b. more than $40,000 a year

The average American man consumes 9.5 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. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:

III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.

​Claim: The standard deviation of pulse rates of adult males is less than 12 bpm. For a random sample of 153 adult​ males, the pulse rates have a standard deviation of 11.7 bpm. Find the value of the test statistic.