1. The nicotine content of a certain brand of king size cigarette has a normal distribution with a mean content of 1.80 mg and a standard deviation of 0.20 mg. Find the probability that the nicotine of a randomly picked cigarette of this brand will be (a) between 1.45 mg and 1.65 mg and (b) more than 2.15 mg. elk of 62 serde If th

1. The nicotine content of a certain brand of king size cigarette has a normal distribution with a mean content of 1.80 mg and a standard deviation of 0.20 mg. Find the probability that the nicotine of a randomly picked cigarette of this brand will be (a) between 1.45 mg and 1.65 mg and (b) more than 2.15 mg. elk of 62 serde If th

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds. OA. 0.0985 OB. 0.9015 OC. 0.8815 O D. 0.7613 C
2. The width of an A4 piece of paper is normally distributed with a mean of 210 and a standard deviation of 0.2 mm. Over what size are the top 15% of A4 pieces of paper? T W
The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. For the following questions: 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.
Suppose exam scores are normally distributed with a mean of 70 and a standard deviation of 6. a. The probability someone recieves less than a 60 on the exam b.The probability someone scores between 70 and 90 c. What grade defines the highest 1.5% of the distribution
3. The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 gram. 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 9.5 and 11 grams of sodium per day?c. The middle 20% of American men consume between what two weights of sodium?Low: High:
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707
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 score of all golfers for a particular course has a mean of 74 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 75. Round to four decimal places. O A. 0.3707 B. 0.1293 O C. 0.0228 O D. 0.4772
Suppose that the amount of protein in certain type of energy bar is Normally Distributed with a mean of 8.1 grams with a standard deviation of 0.64 grams. Suppose that a random bar of this type is selected. c. Find the probability that a bar has less than 8.9 grams of protein. d. Find the 90th percentile of the grams of protein in these bars. e. Find the values v and w such that the middle 90% of protein amounts fall between v and w
The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 3. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 73. O A. 0.3707 O B. 0.4772 OC. 0.1293 O D. 0.0228
On average, indoor cats live to 13 years old with a standard deviation of 2.6 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? b. Find the probability that an indoor cat dies when it is between 15 and 16.7 years old. c. The middle 20% of indoor cats' age of death lies between what two numbers? Low: years High: years