The lifetimes of a particular lightbulb are known to be normally distributed with a mean life of 250 hours and a standard deviation of 30 hours.  A department store installs 3200 of these lightbulbs in its store.   How many of the lightbulbs in this store would you expect to burn out in less than 200 hours?   Round your answer to the nearest whole number.   The expected number of light bulbs is  Blank 1. Calculate the answer by read surrounding text.

Q: Find the standard deviation of this number set: {2, 4, 9} showing all of the steps involved as shown…

A:

Q: The mean height of Grade III pupils is 138 cm with a standard deviation of 8 cm. If a sample of 30…

A: given data μ = 138σ = 8n = 30P(x¯ ≥140) = ?

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: here given , Assume that thermometer readings are normally distributed with a mean of 0°C and a…

Q: Find the standard deviation of the lengths of the wolves in the entire animal preserve.

A: The mean of the lengths of the wolves in the entire animal preserve is,…

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

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

A: Obtain mean of the sample data. Denote the values of the sample data by xi: xi: 223, 225, 300, 291,…

Q: A given set of data has a specific standard deviation. Describe what will happen to the standard…

A: Standard deviation: it evaluate that how numbers are speared out in data, denoted by s. s= ∑xi-x2n…

Q: Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the…

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Q: The estimated standard deviation is°F. (Round to two decimal places as needed.) Compare the result…

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Q: ssume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Given that  Assume the readings on the thermometer is normally distributed . Mean  = 0 degree…

Q: The area of the shaded region is

A: Consider X denotes the IQ score. X~Nμ=100,σ=15

Q: Calculate the sample standard deviation for this data set: 65, 48, 70. The formula for the sample…

A:

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Suppose the random variable z defines the thermometer reading.

Q: Read each problem carefully. Show your complete solution and present an illustration for each…

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

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Given that: Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 now…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a…

A: Let X be a random variable such that X: Height of the children Since the sample is large (500)…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: normal distribution μ = 100σ = 15 P(85<x<110) = ?

Q: The number of milliseconds required for a light beam to go from A to B is given below. Find the…

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Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

Q: The average family spends $112 at the grocery store each week with a standard deviation of $35.…

A: Step 1:We have given that :mean(μ)=$112satndard dwviation(σ)=$35X is the amount spent by the…

Q: The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard…

A: Percentile:The percentile is the proportion of data lying below a certain value. For example, 56…

Q: Between 1.00 and 2.00 Click to view page 1 of the table. Click to view page 2 of the table. Draw a…

A: It is given thatMean, μ = 0Standard deviation, σ = 1Z-Score, Z = ( X - μ )/σwhere, Z be the standard…

Q: A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the…

A: Normal Distribution:Normal Distribution:The normal distribution is a continuous probability…

Q: The teacher in a kindergarten school measures the height of her students. If the heights were…

A: Mean()=112standard deviation()=15

Q: ENGINEERING STUDENTS HAVE THE FF. HEIGHTS (IN FT) 5.8 5.9 8.2 4.8 4.9 5.11 5.9 4.11 5.6

A: Given that data  5.2,5.8,5.9,6.2,4.8,4.9,5.11,5.9,4.11,5.6 Sample size n =10

Q: A particular fruit's weights are normally distributed, with a mean of 712 grams and a standard…

A: Given Information: A particular fruit's weights are normally distributed, with a mean of 712 grams…

Q: An engineer wishes to determine the width of a particular electronic component. If she knows that…

A: Assume that μ is the population mean width of a particular electronic component.

Q: Create your Data Set. These are your X-values: 1. Choose a number between 50 and 100. And write your…

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Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given thermometer readings are normally distributed with a mean of 0°C and a standard deviation of…

Q: Suppose 26% of all small businesses are owned by a particular group of people. In a random sample of…

A:

Q: A student takes a multiple-choice test that has 6 questions. Each question has four choices. student…

A: It is given that,  A student takes a multiple-choice test that has 6 questions i.e. n=6 Each…

Q: The average annual precipitation in Vancouver, British Columbia is 1300 mm. Assuming that the…

A: The value of  μ=1300μ+σ=1530,   μ+σ=1070μ+2σ=1760, μ+2σ=840μ+3σ=1990, μ+3σ=610 a)  Annual…

Q: For a given data, calculate the mean, the median, the standard deviation. Show your work, do not…

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Q: Calculate and answer. Show complete solution. The height of adolescent females in Canada is said to…

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Q: Assume that thermometer readings are normally distributed with probability of the reading. (The…

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Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

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Q: A particular fruit's weights are normally distributed, with a mean of 299 grams and a standard…

A: Given that.   X~N( μ , ?^2 )   μ=299    , ?=8   , n=13   Z-score =( x - μ )/?

Q: Based upon past flight data, the average weight of checked baggage was 44.5 pounds with a standard…

A: Given that  X~N( μ = 44.5 , ? = 3.6 ) μ = 44.5 , ? = 3.6 , n = 400 Z-score =( x - μ )/?

Q: Which graph represents P81? Choose the correct graph below. O A. O B. The temperature for P81 is…

A: Let Z denote the readings on the thermometre. Given that Z follows N(0,1)

Q: c. Identify the mean and standard deviation of x. Choose the correct answer below. O A. µ and В. н…

A: If X be a random variable which follows normal distribution. Then mean and standard deviation of…

Q: Assume that the readings on the thermometers are normally idstributed with a mean of 0" and a…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Find the range and the standard deviation (correct to two decimal places). 81, 91, 96, 96, 96 a)…

A: From the given information we find the range and standard deviation.

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.