The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in degrees Celsius at the same location is greater than 78 degrees is 0.1587 None of the other options O 0.0228 O 0.0062
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A:
Q: The average daily sales(X) of a branch are $500 and standard deviation is $51. Assuming the…
A: It is given that Mean, μ = 500 Standard deviation, σ = 51
Q: Assume that blood pressure readings are normally distributed with a mean of 125 and a standard…
A: Given,sample size(n)=37Mean(μ)=125Standard deviation(σ)=4.7
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A: According to the given information, we have Mean = 135 Standard deviation = 4.7 Sample size = 35
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- Students are usually tested on various subjects to determine the level of intelligence. In an intelligence examination administered to 2,000 students of the MBA programmes, the average score recorded by the lecturer was 42 and deviation of the scores from their mean was 24. Assuming that the distribution of scores is normal, find: The number of students whose score exceeds 50 The number of students whose score is between 30 and 54 inclusive. The score corresponding to the standardized normal value of 2 What is the probability of a score which is less than 70? How many student would have a score of at least 66?The weight of the package is normally distributed with a mean of 650 g and astandard deviation of 42 g. What is the probability that the average weight for 36such packages exceeds 645 g.The blood sugar levels of a person follows a normal curve with an average of 4.7mmol/L and a standard deviation of 1.4. In 2014, it is estimated that 8.5% of people around the world have diabetes. 1. Indicate whether the distribution to be used in answering the problem is a normal distribution 2. If yes, solve for the probability a. The probability of getting a random person with a high blood sugar level greater than 7mmol/L. b. The probability of getting a random sample of 150 people with less than 10% having diabetes c. The probability of getting a random sample of 60 people with less than 9% having diabetes d. The probability of getting a random sample of 150 people with a mean blood sugar level less than 5mmol/L. e. The probability of getting a random sample of 25 people with a mean of blood sugar level greater than 4.5mmol/L.
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0°C and 2.679°C.Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.5°C and 1.71°C.Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability that the wave will crash onto the beach between 1.9 and 2.3 seconds after the person arrives is P(1.9 3.26) = f. Find the minimum for the upper quartile. seconds.
- The average yearly salary for an electrician is $51853. Suppose that the distribution is normal with a standard deviation equal to $4850. What is the probability that a random sample of 35 electricians had a mean income greater than $50123? Less than $49730? Assume that the sample is taken from a large population and the correction factor can be ignored. Express each probability as a percent rounded to two decimal places. Income greater than $50123: ____%Income less than $49730: _____%The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 57 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutesMalaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.Suppose that among salmon fish that are longer than 80cm, their weights have a mean of 6.4kg and a standard deviation of 0.5kg. The wholesale price per kg for these salmon fish is $9.46. The fishing company supplies freshly caught salmon to a local restaurant. The restaurant just placed an order for 120 salmon fish. If the fishing company randomly selects 120 salmon that are longer than 80cm for the restaurant, find the probability that the total wholesale price of the 120 salmon exceeds $7,350.