The life of light bulbs is distributed normaly, The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probabilty of abulb lasting for at least 583 hours Round your answer to four decimal places.

Q: A random sample of 10 subjects have weights with a standard deviation of 11.7640 kg. What is the…

A: Given  A random sample of 10 subjects have weights with a standard deviation of 11.7640 kg.

Q: The table below shows a sample of waiting times​ (in days) for a heart transplant for two age…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.9…

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.08 to the left of…

Q: The average life expectancy of computers produced by Ahmadi, Inc. is 6 years with a standard…

A: Solution: Let X be the life expectancy of computers. From the given information, X follows normal…

Q: The weights of the cement per bag are normally distributed with a mean of 8.16 kg and a standard…

A:

Q: manufacturer of a popular antibiotic must ensure that each 55-mL dose contains 250250 milligrams…

A: Given : Claim : The variance of the amounts of active ingredient per dose be less than 0.30

Q: The weights of newborn baby boys born at a local hospital are believed to have a normal distribution…

A: Given that the mean weight is 3915 grams and a variance of 429,025. That is, μ=3915, σ2=429025

Q: The life span of a type of automatic washer is approximately normally distributed, with mean and…

A: It is given that the life span of a type of automatic washer is approximately normally distributed,…

Q: a store have a normal distribution with a mean of $33000 and a standard deviation of $3500.

A: Given: Mean, μ=33000Standard deviation,σ=3500

Q: The heights of the women are normally distributed with a mean of 64.4 inches and a standard…

A:

Q: The population of weights of a particular fruit is normally distributed, with a mean of 265 grams…

A: Let X denote the population of weights of a particular fruit is normally distributed, with a mean of…

Q: the population of weights of a particular fruit is normally distributed, with a mean of 766 grams…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.1…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8…

A: Let us denote X= life span Given that X follows a normal distribution with mean= 7.8 years and…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3…

A: Given, Now the z-score associated with the probability of 0.10 is obtained as below: Therefore,…

Q: A normally distributed process has a mean of 5.3 and a standard deviation of 2.1. If there is a 0.35…

A: Given a normal distribution with mean 5.3 and standard deviation 2.1.Probability that output from…

Q: Suppose samples are taken from a population of heifers with known mean and standard deviation of…

A:

Q: In drilling a vertical wellbore, the spacing between major fractures are recorded. It has been found…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A:

Q: The scores on a standardized test are normally distributed with a mean of 120 and standard deviation…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 10 The test score is 2.1…

Q: l), and the standard deviation is 16.3 mg/dl. If a random sample of 35 overweight children is…

A: mean = 220 s = 16.3 n = 35

Q: The weight of a random person is normally distributed, with a mean of 62 kg and variance of 15 kg2.…

A:

Q: For an experiment it is randomly collected 40 number of observations and it is not known ex-ante…

A: Given information: The sample size is n = 40. The individual monthly salaries are summed to $20000.…

Q: Find the proportion of their long distance calls that is between 4.0  minutes and 5.5 minutes?

A: Let X denote the lengths of the long distance calls. Given that X follows N(mean= 4.5, SD= 0.8) then…

Q: A medical researcher wishes to see whether the variance of the heart rates (in beats per minute) of…

A: The null and alternative hypotheses are given below. H0: σ12 = σ22 H1: σ12 ≠ σ22 The test statistic…

Q: The weight of a certain type of brick has an expectation of 1.12 kilograms with a variance of 0.0009…

A:

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A:

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

A: Given data,μ=15σ=4P(X<x)=0.975

Q: The time it takes for a grade 11 students to complete a physical test is normally distributed with a…

A: X=the time for Grade 11 students to complete a physical fitness test  Given that X follows a normal…

Q: The lifetime of a light bulb is normally distributed with an average life of 500 hours and a…

A: Define the Random Variable, X : Life time of a light bulb. Given that , X ~ N(500,1002 )  So, Z =  X…

Q: A random sample of 10 subjects have weights with a standard deviation of 10.6705 KG. What is the…

A:

Q: The scores on a standardized test are normally distributed with a mean of 120 and standard deviation…

A: Solution: Let X be the score on a standardized test. From the given information, X follows normal…

Q: The Mean and Standard Deviation of a series of 100 items were found to be 60 and 10 respectively.…

A:

Q: Suppose we predict a model with four explanatory variables with 25 observations. Also, suppose that…

A: The variance of the residuals can be obtained using the formula given below: Variance of…

Q: The life of a Radio Shack record player is normally distributed with a mean of 3.6 years and a…

A: Here, mean is 3.6 and standard deviation is 0.8.

Q: A normal distribution has a mean of 40 and a standard deviation of 5. 68% of the distribution can be…

A:

Q: The weights of a bag of cement admixture produced by a company is approximately normally distributed…

A: Let X be the weights of a bag  Population mean μ=9, sample standard deviations σ=0.64…

Q: The heights of grade 11 students are normally distributed with an average height of grade 11…

A:

Q: The Shelf life of a particular dairy product is normally distributed with a mean of 12 days and a…

A: Obtain the percentage of the products last between 13 and 16 days. The standard z-score for the…

Q: An issue of Scientific American reveals that batting​ averages, x, of​ major-league baseball players…

A: Solution

Q: The length of a human pregnancies is approximately normal distributed with mean m equals to 266 days…

A: Use the excel formula to find the indicated critical value as follows:

Q: A company produces light bulbs whose life follows a normal distribution, with mean (1300+R) hours…

A: Find the lifetime in hours that R% of the bulbs exceed: Denote the lifetimes of bulbs in hours by…

Q: The weights of a bag of cement admixture produced by a company is approximately normally distributed…

A: GivenMean(μ)=8.0 kilogramsVariance(σ2)=0.64 kilogramsstandard deviation(σ)=0.64=0.8 kilograms

Q: A random sample of 10 subjects have weights with a standard deviation of 10.9654 kg what is the…

A: It is given that the standard deviation is 10.9654 kg.

Q: The time required to complete a laboratory strep test is normally distributed with a mean time of 70…

A:

Q: Suppose the length of human pregnancies from conception to birth varies according to a distribution…

A: We have to find variance for given data.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.9…

A: Obtain the 2% of items with the shortest lifespan will last less than number of years. The 2% of…

Q: Procter and Gamble reported that an American family of four washes an average of 2000 pounds of…

A: We have to find given probability.

Q: The time needed to find a parking space is normally distributed with a mean of 20 minutes and a…

A: 90% of the time, it takes less than  26.63 minutes to find a parking space. Explanation is given…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per…

A: From the given information,   Mean = 74 Standard deviation = 12.5