The lifetime of a lightbulb in a certain application is normally distributed with mean μ = 1,500 hours and standard deviation σ = 200 hours. 1. What is the probability that a lightbulb will last more than 1800 hours? (Round the final answer to four decimal places.) 2. Find the 10th percentile of the lifetimes. (Round the final answer to the nearest integer.) 3. A particular lightbulb lasts 1645 hours. What percentile is its lifetime on? (Round the final answer to the nearest whole number.)

Q: q16

A: Given : significance level of 5% For 600 tests, 5% of 600 will incorrectly find significance.

Q: Terri Vogel, an amateur motorcycle racer, averages 129.51 seconds per 2.5 mile lap (in a 7 lap race)…

A: Let , X be the number of seconds for a randomly selected lap The random variable X follows Normal…

Q: Assume that the length of human pregnancies from conception to birth varies according to a…

A:

Q: a. What is the distribution of X? X ~ N( b. Find the probability that a randomly hit fly ball…

A:

Q: A variable is normally distributed with mean 4 and standard deviation 2.     a. Q1=_____   Q2=______…

A: A variable is normally distributed with mean 4 and standard deviation 2.   a)  z score for 25th…

Q: Suppose the mean of a math exam score is 70 with a standard deviation of 20. If each score is…

A: Solution: From the given information, mean math of a math exam score is 70 and a standard deviation…

Q: 4. Researchers at a National Weather Center in the northeastern United States recorded the number of…

A: u = 9.6 n = 4 sigma = 1.9 xbar = 12.25

Q: mg mg Calcium levels in people are normally distributed with a mean of 9.7 and a standard deviation…

A: Solution

Q: A group of adult males has foot lengths with a mean of 27.99 cm and a standard deviation of 1.16 cm.…

A: Given The data is as follows: Population mean, μ=27.99 Population sd, σ=1.16

Q: el, an amateur motorcycle racer, averages 129.76 seconds per 2.5-mile lap (in a 7 lap race) with a…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: An IQ score has a mean, u = 90, and standard deviation, o = 10. (5PTS EACH) 1. A genius is sometimes…

A: 5. Mean = 100, Stdev = 10 a. PX≥140 = PZ≥ 140-100 10 = P(Z≥ 4) = 0.000031

Q: Scores on a test are normally distributed with a mean of 60 and a standard deviation of 15. What is…

A:

Q: A normal population has mean  μ  =  51  and standard deviation  σ  =  7 . What is the  85…

A: Given:µ = 51σ = 7Find P85In TI-84 calculator (if you have). Step 1: Press "2nd" then "Vars"Step 2:…

Q: QUESTION 8 Body Temperature. The body temperatures of adults are normally distributed with a mean of…

A: Given that mean = 98.6 s.d = 0.81 95th percentile = ?

Q: mg Calcium levels in people are normally distributed with a mean of 9.3 and a standard deviation of…

A: Given :  Population Mean,μ = 9.3  Population Standard Deviation,σ = 0.5

Q: Find the standard deviation of the percent change in market share for the control cities. Percent…

A: Solution..

Q: A variable is normally distributed with mean 15 and standard deviation 2. a. Find the percentage of…

A: Given that, Mean = 15 Standard deviation = 2

Q: d. Find the 87th percentile of blood pressure readings. The 87th percentile of blood pressure…

A: The mean is 121 and the standard deviation is 16.

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: Let X denote the bone density test score. Given that X follows N(mean = 0, SD = 1).

Q: Determine a z-score to the nearest 0.01 for each of the test scores. Which is the better score? Rour…

A: Given data,For TEST A:Mean=670sd=80Test score=950For TEST B:Mean=2.7sd=0.4Test score=4.6

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard…

A:

Q: mg Calcium levels in people are normally distributed with a mean of 9.6 and a standard deviation of…

A:

Q: According to a study, the height for Asian adult males is normally distributed with an average of 66…

A: 1)Answer:- According to a study, the height for Asian adult males is normally distributed with an…

Q: 18. Calculate the ±3 standard deviation range for the mean of 15.7 and S

A: Mean=15.7 Standard deviation=4.2

Q: Alice has been in a walking/jogging exercise program for 10 days, and each day she has recorded th…

A: The data set for distance covered for 10 days is1.8,2.1,1.7,1.9,2.3,2.3,2.5,2.4,2.6,2.7sample…

Q: Women have pulse rates that are normally distributed with a mean of 77.8 beats per minute and a…

A: given data, normal distributionμ=77.8σ=11.6we have to find out the probbailities for the given data

Q: 2. 4. 4. 3. 6.

A: x Frequency (f) f⋅x f⋅x2=(f⋅x)×(x) 2 2 4 8 3 4 12 36 4 3 12 48 5 1 5 25 6 0 0 0 Total…

Q: The length of time running shoes last can be modeled by an exponential distribution. On average a…

A:

Q: The average THC content of marijuana sold on the street is 10.8%. Suppose the THC content is…

A: Given, mean= 10.8  Standard deviation= 1 So, variance= 12=1 So, X~N(mean,variance)= N(10.8,1)…

Q: K Find the standard deviation for the given data. Round to one more decimal place than the original…

A: Step 1: Given informationData set: 3,5,6,6,9,1Total number of observations = 6 Step 2: Standard…

Q: Suppose that the speeds of cars travelling on California freeways are normally distributed with a…

A: Normal distribution

Q: a. Find a 95% confidence interval for the mean number of days, , of diverted medical marijuana use…

A: Solution According to the guidelines we solve only three subparts

Q: The mean life of a tire is 30,000 km. The standard deviation is 2000km. About 95% of all tires have…

A: According to the given information, we have Mean = 30000 km Standard deviation = 2000km

Q: Terri Vogel, an amateur motorcycle racer, averages 129.42 seconds per 2.5 mile lap (in a 7 lap race)…

A: X is the number of seconds for a randomly selected lap Mean of X (μ) = 129.42 seconds Standard…

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: GivenMean(μ)=0standard deviation(σ)=1

Q: A normal population has mean u = 58 and standard deviation o = 8.. What is the 83rd percentile of…

A: Here we need to find the 83rd Percentile of the given normal distribution.

Q: miles Suppose that the speeds of cars travelling on California freeways are normally distributed…

A: Given: µ=58 PX>75=0.02 To find out: standard deviation(σ )

Q: Round answers to 4 decimal places. Draw graphs and include functions 1. According to a study, the…

A: given data normal distributionμ = 66σ= 2.5x = height of individual

Q: erri Vogel, an amateur motorcycle racer, averages 129.97 seconds per 2.5 mile lap (in a 7 lap race)…

A: Solution: Let X be the number of seconds for a randomly selected lap. It is given that X has normal…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: miles Suppose that the speeds of cars travelling on California freeways are normally distributed…

A:

Q: Components that are critical for the operation of electrical systems are replaced immediately upon…

A: Given : life time of certain components follow lognormal distribution with mean =500 and standard…

Q: Terri Vogel, an amateur motorcycle racer, averages 129.52 seconds per 2.5 mile lap (in a 7 lap race)…

A: (c) Obtain the proportion of her laps that are completed between 128.81 and 131.26 seconds. The…