Normal DistributionsA magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with astandard deiation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are nolonger driving were randomly selected. What is the probability that their average number of accidents while driving will be largerthan 4?P(7 > 125) =For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not havebeen able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be ableto normalize the distribution?What is the rule of thumb for normalizing the sampling distribution of means?

Answered: Normal Distributions A magazine…

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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The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10. If a January day in Columbus is randomly selected, what is the probability that the high temperature is between 15 and 25 degrees?
In a t distribution with 10 degrees of freedom, what is the probability of getting a value within two standard deviations of the mean?
What is the Discrete Variance when sample size is 82 with a probability of 0.82?
ople who exercise frequently tend to have lower resting heart rates. The mean resting heart rate for adults is 65 BPM (beats per minute). The standard deviation is 7 BPM. Resting heart rate is approximately nor- mally distributed (bell-shaped). (a) What is the probability of randomly selecting an adult with a resting heart rate greater than 65 BPM? (b) What is the probability of randomly selecting an adult who has resting heart rate less than 58 BPM? (c) What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70 BPM? (d) Would you consider it umusual for a person to have a heart rate higher than 84 BPM? Why or why not? (e) Serious athletes often have very low resting hcart rates. How low must a per- son's hear rate be if it is lower than approximately 95% of the population?
The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?
STA 215
The daily high temperature for the month of August in Chicago is normally distributed with a mean of 70 degrees and a standard deviation of 5 degrees. QUESTION 1 What is the probability that a randomly selected August day in Chicago will have a high temperature below 85 degrees? Use the given normal distribution curve below to help you label and shade the correct picture for this problem. O A. 0.9987 О в. 0.0013 OC.0.4987 O D. 0.0087 Save All Answers Save and Submit Click Save and Submit to saue and submit. Click Save All Answers to save all answers. 6:35 PM e Type here to search 11/30/202 10/05/17 F1 F2 F3 F4 F5 F6 F7 F8 PrtSc Insert Delete F9 F10 F11 F12 C@ & 3 5 6 7 080 9- Backspace Num Lock T Y U 1 PI 00 Home + II S4 LI 2
The size of fish is important to commercial fishing. A study conducted in 2102 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 47 cm and standard deviation 3.4 cm. 1.What is the probability that a randomly Atlantic cod is between 44 and 49 cm? Round your answer to 4 decimal places. 2.What is the probability that a random sample of 5 Atlantic cod have an average length between 44 and 49 cm? Enter your answer rounded to 4 decimal places. Document how you obtained your answer in the space provided below. 3.Why did the probability increase?
TREKLAIR bulbs have an average lifespan of800 hours with a variance of 1,600 hours2 .This duration oflife has a normal distribution. Find the probability that abulb lasts between 778 and 834 hours.
Last year, a person wrote 118 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?
Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.
The likelihood that a light bulb is defective is 6%, on a particular production line. Eight light bulbs are randomly selected. What are the mean and variance of the number of defective bulbs?

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