The medical records of infants delivered at the Kaiser Memorial Hospital show that the infants’ lengths at birth (in inches) are normally distributed with a mean of 20 and a standard deviation of 2.1. Find the probability that an infant selected at random from among those delivered at the hospital measures is more than 23.5 inches. A) 0.0485 B) 0.1991 C) 0.0475 D) 0.9515 E) 0.6400

The medical records of infants delivered at the Kaiser Memorial Hospital show that the infants’ lengths at birth (in inches) are normally distributed with a mean of 20 and a standard deviation of 2.1. Find the probability that an infant selected at random from among those delivered at the hospital measures is more than 23.5 inches. A) 0.0485 B) 0.1991 C) 0.0475 D) 0.9515 E) 0.6400

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...

See similar textbooks

Similar questions

The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. b. What is the median giraffe height? ? ft. c. What is the Z-score for a giraffe that is 18.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 16.9 feet tall?
The birth weight of newborn babes (measured by O'Cathain et al, 2002 n = 3226) is approximately normally distributed with a mean of 3.39kg and standard deviation of 0.55kg. Rounded to three decimals, What weight does a baby have to have to be in the 97%?
The time that a customer takes to complete a transaction in the business line at the bank follows a normal distribution with a mean of 5.4 minutes and a standard deviation of 1.7 minutes Above how many minutes will 20% of the customers spend in completing a transaction? O a. 6.115 O b. 0.4207 Ос. 0.84 O d. 6.828
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
The mean systolic blood pressure in a certain population of men between the ages of 20 and 24 is known to be 120 mm Hg, with a standard deviation of 20 mm Hg.d) what proportion of readings fall between 100- and 140-mm Hg? e) what proportion of readings are less than 60mm Hg or greater than 180mm Hg?
A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. Find the probability of randomly selecting a value (Hint: round off z scores to 2 decimal places) 1. less than 48.5 mm? 2. between 50 mm and 55 mm?
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.
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75
Prove that for the normal distribution, the quartile deviation, the mean deviation and standard deviation are approximately 10 : 12 : 15.
he mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.b. What is the median giraffe height? ft.c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? e. What is the probability that a randomly selected giraffe will be between 17.3 and 17.9 feet tall? f. The 90th percentile for the height of giraffes is ft.
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 38 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 248 feet. Round to 4 decimal places. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
1) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard deviation of 0.02. Determine the probability that the diameter is a) more than 3.42 cm. b) less than 3.46 cm. c) between 3.35 cm and 3.46 cm