The life time of a certain type of electric bulb has an average life of 400 hours deviation of 50 hours. Assuming the distribution to be normal: (a) find the percentage of electric bulbs having life-time more than 350 hours. (b) the proportion of bulbs that have a life-time between 300 hours to 500 hours.

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A: Given that, μ=8 ozσ=1 Then, P7<x<9 Then, by the empirical rule solve as,…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean…

A: (a) According to the empirical rule, approximately 68% of the observations fall within 1 standard…

Q: The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the…

A: According to the provided information, wristwatch X~N(25, 5)

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and…

A: GivenBabies born after a gestation period of 32-35 weeks haveMean(μ)=2500standard…

Q: According to a recent survey, the salaries of assistant professors have a mean of $40,756 and a…

A: We want to find the probability

Q: The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard…

A: The provided information are: Population mean (µ) = 1100 Population standard deviation (σ) = 150…

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A:

Q: A frontliner commutes daily from his home to work. The average time for a one-way trip is 35…

A: Let , X be the time Let , X→N(μ=35 , σ=5) Since , his work starts ate 9:00 AM and he leaves his…

Q: In a normal distribution of measurements having a mean of 200 pound standard deviation of 30 pounds,…

A: GivenMean(μ)=200standard deviation(σ)=30

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and…

A: Obtain the standard z-score for the baby born in week 33 weighs 2200 grams. The standard z-score for…

Q: The heights of women has a bell-shaped distribution with a mean of164 cm and a standard deviation of…

A: Let x be a height of woman that follows normal distribution with mean of 164 cm and standard…

Q: The average monthly income of 250 families in a certain barangay is P25,500 with a standard…

A: Given that mu = 25500,s.d = 3200

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: The mean rate for cable t.v.from a sample of 80 households was $29 per month with a standard…

A:

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and…

A:

Q: The mean weight of 500 male students at a certain college is 80 kg, and the standard deviation is 8…

A:

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and…

A: Obtain the Z-score for the 32-week gestation period baby weighs 2550 grams.   The Z-score for the…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Given,mean(μ)=98.22standard deviation (σ)=0.63By using empirical…

Q: The mean batting average in major league baseball is about 0.250. Supposing that batting averages…

A: Let X denote the batting averages in major league baseball. Given that X follows N(mean = 0.250, SD…

Q: The mean height of trees in the forest of Zambales is 42 ft and the standard deviation is 3 ft.…

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Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

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Q: The annual commissions per salesperson employed by a retailer of mobile communication devices…

A: Obtain the Z-score for the random variable $32000.   The Z-score for the random variable $32000 is…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A:

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: A livestock company reports that the mean weight of a group of young steers is 1150 pounds with a…

A: μ=1150σ=87  =P1050<x<1250

Q: The mean height of trees in the virgin forest of Zambales is 42 feet and the standard deviation is 3…

A: The mean height of trees in the virgin forest of Zambales is 42 feet and the standard deviation is 3…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and…

A:

Q: If the average length measurements for 10,000 pieces of curbstone from a specific laboratory…

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Q: The lengths of a large stock of titanium rods follow a normal distribution with a mean (u) of 440 mm…

A: Given that, The lengths of a large stock of titanium rods follow a normal distribution with a mean…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and…

A: Given that, Mean (Gestation period of 32 to 35 weeks) = 2600 Standard deviation (Gestation period of…

Q: The mean value of land and buildings per acre from a sample of farms is ​$1200​, with a standard…

A: Given that, the value of land and buildings per acre from a sample of farms have…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: From the provided information, Mean (µ) = 98.18oF Standard deviation (σ) = 0.67oF

Q: The times of first failure of a unit of a brand of ink jet printers are approximately normally…

A: Given that  μ=1500σ=200

Q: Suppose that the blood pressure of the human inhabitants of a certain Pacific island is distributed…

A:

Q: A manufacturer of calculator batrries claims that the mean length of life for its battry is 500…

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Q: The capacitance of a batch of capacitors has a normal distribution with a mean of 10 pF and a…

A: Solution:  Let X be the capacitance of a batch of capacitors has a normal distribution with a meanof…

Q: Assume the annual day care cost per child is normally distributed with a mean of $7000 and a…

A: Given information: Given that the annual day care cost per child is normally distributed with mean m…

Q: The income of trainess at a local mill are normally distributed with a mean of $1100 and a standard…

A: Let Y be the income of trainee mean = μ = $1100 standard deviation = σ = $150

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and…

A: The mean and standard deviation for 32 to 35 weeks of gestation period are 2900 and 900,…

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1800…

A: X is normally distributed.  Mean = 1800 hours Sigma = 25 hours  X represents the amount of  time a…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: Let X denote the  body temperatures of a group of healthy adults have a​ bell-shaped distribution…

Q: The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Given: Average=74 Standard deviation=7 z value for 88th percentile z=1.18(consulting the table…

Q: Use the normal distribution of heights of adult​ women, which has a mean of 167 centimeters and a…

A: Note: Hi there! Thank you for posting the question. As the table of standard scores and percentile…

Q: A set of data items is normally distributed with a mean of 40 and a standard deviation of 6. Convert…

A: Given set of data is normally distributed with mean = 40Standard deviation = 6The Z score for any…

Q: In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean…

A: Given: In a class with 50 students, a 60-item test is conducted. After the test, it is found that…

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and…

A: The z score value can be find by using the below standard normal z score formula         z=x-μσ…

Q: The weight of each cookie in a batch of a certain type of commercially produced cookie follows an…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The average monthly income of the employees of Fashion Head Incorporated was computed to be equal to…

A: Given,sample size(n)=900mean(μ)=5500standard deviation(σ)=550

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A:

Q: assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard…

A: X follows a Normal distribution with mean = 5.67 and S.D = 0.07 Then z=(x-mean)/SD = (x-5.67)/0.07…