Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between each standard deviation before attempting to answer the questions.The average life-span of a True Test auto battery is 42 months with a standard deviation of 4 months. Assume a normal distribution.1. We can expect 95% of the batteries to last between **38** and **46** months.2. We can expect ______% of the batteries to last less than 30 months.3. We can expect ______% of the batteries to last longer than 42 months.4. We can expect ______% of the batteries to last between 30 and 38 months.5. We can expect ______% of the batteries to last between 42 and 50 months.

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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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For the normal probability plot shown below, the correlation between the random variable X and expected z-scores is 0.889. Determine whether the sample data (n = 15) could have come from a population that is normally distributed Click the icon to view the normal probability plot. Click here to view the table of critical values of the correlation coefficient. OA. The normal probability plot indicates that the sample data could have come from a population that is normally distributed B. The normal probability plot does not indicate that the sample data could have come from a population that is normally distributed
A population has a mean p= 79 and a standard deviation o = 12. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 36. %3D H=(Simplify your answer.) %3D (Simplify your answer)
Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between each
Running speed for adult men of a certain age group is known to follow a normal distribution, with mean 5 miles per hour and standard deviation 0.8. Jim claims he run faster than 80% of adult men in this age group. What speed would he need to be able to run for this to be the case? Give your answer accurate to two digits past the decimal point.
Accrotime is a manufacturer of watches. Accotime researchers have shown that watches hwe an average life of 28 months before certain electronic components deteriorate causing the watch to become unreliable. The standard deviation of watch lifetimes is 5 months and the distribution is noemal. If Accrotime guarantees a full refund of any defective watch for 1.5 years after the purchase, what percentage of total production will the company expect to replace? Write your answer as a percentage rounded to 1 decimal place. For the toolbar, Press ALT+F10 (PC) or ALT+FN+F10 OMCA) 0 WOAOS POWEASD BY TINY
Assume the data set described is normally distributed with the given mean and standard deviation, and with n total values. Find the approximate number of data values that will fall in the given range. Mean-8 Standard deviation-1.5 n-45 Range: 6.5 to 9.5 In this case, we expect about 52 data values to fall between 6.5 and 9.5.
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose reading from the horse (in mg/100 mg). 92 87 82 107 99 109 85 89 The sample mean x-bar is 93.8. Let x be a random variable representing glucose readings taken from gentle Ben. We may assume x has a normal distribution, and we know from past experience that the standard deviation = 12.5. The mean glucose level for horses should be mu = 85mg/100gl. Do these data indicate that gentle Ben have a overall average glucose level higher than 85? Use alpha = 0.05 A- Compute z value of the sample stasistic test. Round answer to 2 decimal places B- Find (or estimte) the P-Value . Round answer to 4 decimal places I get 1.99 for the z value but cannot come up with correct p-value.
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.
A study discovered that Americans consumed an average of 13.2 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds. d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? enter your response here (Round to four decimal places as needed.) Part 5 e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of enter your response here pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)
Assume that intelligence follows a normal distribution and that on a standard test for intelligence the true mean (μ) is 100 with a standard deviation (σ) of 15. What test score do you need for your intelligence to be in the top 1% of the population?
The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram? 2 =- 1.25 z= 0.80 A. 0.3064 B. 0.3175 C. 0.3102 D. 0.2881

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