A manufacturer knows that their items have a normally distributed lifespan with a mean of 4 years and a standard deviation of 1.2 years. If you randomly purchase one item, what is the probability it will last longer than 4 years? Round answer to 3 decimal places.

Q: Round each z-score to the nearest hundredth. A data set has a mean of x = 218 and a standard…

A: Given , x = 218    , σ = 40 We know , z-score = x-xσ

Q: A psychologist has designed a questionnaire to measure individuals' aggressiveness. Suppose that the…

A: given data  normal distributionσ = 100P(x>750) = 0.15μ = ?

Q: The mean life of pairs of shoes is 40 months with a standard deviation of 8 months If the life of…

A: The random variable X is the life of shoes It is normally distributed. The mean life of the pair of…

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 4 years,…

A: Given that  Mean = M = 4  Standard deviation = SD = 1 X ~ Normal (M = 4 , SD = 1) P(X < a) = 8%

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The test scores in a class are normally distributed with a mean score of 77. if the standard…

A: The distribution of test score are normally distributed with mean of 77. Now consider the standard…

Q: suppose that you scored 60 on a test that has a population mean of 64 and a standard deviation of 8.…

A: Given: Test Score x=60 μ=64σ=8 Transform in which  μ=50σ=10

Q: anic sells a brand of automobile tire that has a life expectancy that is normally distributee cee…

A: Given Mean=36000 Standard deviations=2600 Z=-1.282

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: Find the mean of the distribution of scores. Carry your intermediate computations to at least four…

A: Here use normal distribution table for z score

Q: Today, the waves are crashing onto the beach every 5.4 seconds. The times from when a person arrives…

A: Solution: Let X be the times from when a person arrives at the shoreline until a crashing wave. From…

Q: A psychologist has designed a questionnaire to measure individuals' aggressiveness. Suppose that the…

A: Given Information :  A psychologist has designed a questionnaire to measure individuals'…

Q: particular fruit's weights are normally distributed, with a mean of 395 grams and a standard…

A: We have given that Mean=395

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: The average amount of time it takes for couples to further communicate with each other after their…

A: a. For this study, we should use one sample population mean z test.

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: If the standard deviation of a data is 14.50 and if each value of the data is decreased by 5, then…

A: Given : Old standard deviation = 14.50

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A:

Q: that the distribution is normal. What is the chance that three indoor cats die between 15 and 18…

A: here mean= 14 year standard deviation  = 2.5 year

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: To qualify for a police academy, applicants are given a test of physical fitness. The scores are…

A: Given : mean (μ ) = 62 standard deviation (σ) = 7                                  σ²  = 49

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: For the distribution (specified to be normal) of the hourly wage (in ) for manufacturing workers in…

Q: For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the…

A:

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.8…

A:

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a…

A: Given that  Mean = M = 65  Standard deviation = SD = 9 X ~ Normal (M = 65 , SD = 9)

Q: On a Physicians Licensure Exam with a population mean of 83 and standard deviation of 8. Jenny…

A: It is given that Mean = 83, Standard deviation 8

Q: 1.2, 2.7, 5.3, 3.4, 4.1,4.6, 3.3, 2.6. Find the standard  deviation

A:

Q: onsider yourself as a Math tutor to Grade 11 students. Study carefully the examples of real-life…

A: Real-life problem: A company produces light bulbs that have a mean lifespan of 2000 hours and a…

Q: a study of 850 homeowners in a certain area showed that the average value of the homes was $83,000,…

A: Answer: From the given data, Mean (μ) = 83000 Standard deviation(σ) = 5100 Sample size(n) = 45 X…

Q: The probability that a patient recovers from a delicate heart operation is 60%. There are 20…

A: Given data: Probability  = p = 0.60 Sample size (n) = 20 To find: What is the mean and standard…

Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 213  and a standard…

A: For a sample point x, the corresponding z-score is given by    z = (x - )/ Where,  = mean of the…

Q: Accrotime is a manufacturer of watches. Accotime researchers have shown that watches hwe an average…

A: