Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and astandard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this roadrace in less than 151 minutes?Round your answer to four decimal places.i

Answered: Let x denote the time it takes to run a…

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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Rochester, New York, averagesµ = 21.9 inches of snow for the month of December. The distribution of snowfall amounts is approximately normal with a standard deviation of σ =6.5 This year, a local jewelry store is advertising a refund of 50% off of all purchases made in December, if Rochester finishes the month with more than 3 feet (36 inches) of total snowfall. What is the probability that the jewelry store will have to pay off on its promise?
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…
Calcium levels in people are normally distributed with a mean of 9.4 and a standard deviation of 0.4 . Individuals with calcium levels in the bottom 10% dL of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
In a study, 25,000 adults were randomly surveyed as to the number of grandchildren they have, X. The probability distribution is given below. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean to one decimal place and the standard deviation to two decimal places. x P(x) 0 0.01 1 0.02 2 0.02 3 0.24 4 0.35 5 0.20 6 0.07 7 0.05 8 0.02 9 0.01 10 0.01
None
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 P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. Which graph represents P15? Choose the correct graph below. O A. AS P15 The bone density score corresponding to P15 is (Round to two decimal places as needed.) O B. A P15 Q C O C. A P15 Q Q O D. A P15
Find probability pregnancy lasted 308 days or longer Round to three place
On average, indoor cats live to 12 years old with a standard deviation of 2.4 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. %3D a. What is the distribution of X? X N( b. Find the probability that an indoor cat dies when it is between 12.7 and 15.6 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years Hint:

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