The lifetime of lightbulbs that are advertised to last for 4800 hours are normally distributed with a mean of 4950 hours and a standard deviation of 100 hours. What is the probability that a bulb lasts longer than the advertised figure? Probability =
Q: Infant birth weights are normally distributed with a mean of 8 pounds and a standard deviation of…
A: Answer: As per the given data, Let X represent infant birth weights Here X is normally distributed…
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A: Given: mean: 180 usd, standard deviation: 5 usd, n = 75.The required probability is…
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A: From the provided information, Mean (µ) = 170 inches Standard deviation (σ) = 20 inches X~N (170,…
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A: The probability value is calculate by means of standard normal variate with the random variable,…
Q: he lengths of pregnancies are normally distributed with a mean of 268 days and a standard of…
A: mean=268 S.D=15
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A: The probability that the height of a woman is more than 64.5 inches is 0.148363.Explanation:A normal…
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Q: The amount of snowfall falling in a cetain mountain range is normally distributed with a 70 inches,…
A: Given Information: Mean μ = 70inches Standard deviation σ = 10 inches Sample size n = 25 To find the…
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A: Let X denote the he lifetime of AAA battery and it follows normal distribution with average life…
Q: he number of bank robberies that occur in a large North American city is Poisson distributed with a…
A: Given : Let X : No. of bank robberies that occur in a large North American city is Poisson…
Q: Find the indicated probability. The lengths of humpback whales' pregnancies are normally…
A: x = length of human pregnancies Mean μ = 330 standard deviation (σ) = 25
Q: Major league baseball salaries are normally distributed with average 3.3 million with a standard…
A: Answer: From the given data, Suppose X: The salaries of major league baseball X follows a normal…
Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.
A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…
Q: Heights of women are normally distributed with a mean of 62.1 inches and a standard deviation of 2.3…
A: 0.79562Explanation:The required probability is P(X<64) where X denotes the height of a woman.For…
Q: The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…
A: Mean == 80Standard deviation = 6n = 16s = 6/√16 = 1.5Levels of significance = 1 - 0.05 = 0.95 or…
Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33…
A: Answer: From the given data, The mean daily production of a herd of cows is normally distributed…
Q: 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume the…
A: (5) X follows a Normal distribution with mean = 6.5 and S.D = 2.3 Then z=(x-mean)/SD =…
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A: We are given,μ = 196σ = 22n = 60
Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…
A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.
Q: Major league baseball salaries are normally distributed with average 3.3 million with a standard…
A: Given problem Given that Major league baseball salaries are normally distributed with average…
Q: the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 88…
A: It is given that the normal distribution has a mean, μ=88 and the standard deviation, σ=16. The…
Q: The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches…
A: Let x¯ denotes the mean annual snow falling during 25 randomly picked years. The mean is 80, and…
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A: Given,sample size(n)=25mean(μ)=82standard deviation(σ)=9
Q: The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56…
A: From the provided information, Mean (µ) = 161 Standard deviation (σ) = 4.56 X~N (161, 4.56)
Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 20 hours…
A: Denote X as the life of a randomly selected light bulb.
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A: The objective here is to find the probability that individual drives between 10 and 20 miles to…
Q: he level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful…
A: Given Data: Mean (μ)=85 Standard deviation (σ)=6 Variance (σ2)=36 Sample size(n)=16 Let X be the…
Q: A running back on the Spartans football team gains an average of 3.5 yards per carry with a standard…
A: Given : A running back on the Spartans football team gains an average of 3.5 yards per carry with a…
Q: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of…
A: Solution: Let X be the annual precipitation amount in a certain mountain range. From the given…
Q: The life of light bulbs is distributed normally. The mean life time of a bulb is 520 hours and the…
A: Answer: Using the given data, Let X represent the life time of a light bulb X follows normal…
Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…
A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?
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A: X~N( μ , ?) μ=2200 , ?=625 Z-score =( x - μ )/?
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A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.
Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…
A:
Q: The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56…
A: Answer: From the given data, Let X: heights of students X is normally distributed with Mean (μ) =…
Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34…
A: Answer: From the given data, The mean daily production of a herd of cows is assumed to be normally…
Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…
A:
Q: The life of a vacuum cleaner is normally disyributed with mean 5 years and standard deviation 2…
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- The lengths of human pregnancies are approximately normally distributed with a mean of 268 days and a standard deviation of 16 days. What is the probability that pregnancy lasts between 240 and 280 days?Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard deviation of 17.3. Find the probability that a randomly selected adult has an IQ greater than 116.5.A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of 0.8 years. If you randomly purchase 3 items, what is the probability that their mean life will be longer than 12 years? Use GeoGebra. Round to 4 places.
- A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699The length of a ball pen is known to be normal with mean 5 inches with a standard deviation of 0.1 inch. Desiree bought one of such a ball pen. What is the probability that its length is between 4.85 inches to 5.10 inches? Solve and illustrate in the Normal curve.The life of light bulbs is distributed normally. the standard deviation of the lifetime is 29 hours and the mean lifetime of a bulb is 590. Find the probability of a bulb lasting for at most 608 hours (round your answer to four decimal places)
- Infant birth weights are normally distributed with a mean of 8 pounds and a standard deviation of 0.8 pounds. What is the probability of infants will weigh between 8.8 and 9.6 poundsAdult males have a mean weight of 179 lbs with a standard deviation of 29 lbs. Find the probability that a random sample of 36 men will have a mean weight less than 176 lbsThe NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
- The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. 1. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours.College students average 8.2 hours of sleep per night with a standard deviation of 45 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 9 hours? Probability = %3DThe life of light bulbs is distributed normally. the standard deviation of the lifetime is 32 hours and the mean lifetime of a bulb is 540. Find the probability of a bulb lasting for at most 518 hours. (round your answer to four decimal places)