Q10P1B] Given a normal distribution with m = 83 and s^2 = 16, find the probability that X assumes a value less than 80 = more than 91 = between 71 and 85 =
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[Q10P1B] Given a
- less than 80 =
- more than 91 =
- between 71 and 85 =
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- On average, indoor cats live to 13 years old with a standard deviation of 2.2 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. ROUND TO 4 DECIMAL PLACES PLEASE! THANK YOU b. Find the probability that an indoor cat dies when it is between 10.8 and 13.2 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: yearsA distribution of values is normal with a mean of 214 and a standard deviation of 10.Find the probability that a randomly selected value is less than 203.P(X < 203) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of selecting a sample of n = 4 scores with a mean more than M = 51?
- Today, the waves are crashing onto the beach every 4.9 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.9 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 0.6 seconds after the person arrives is P(x = 0.6) =The life of light bulbs is distributed normally, the standard deviation of the lifetime is 26 hours and the mean lifetime of a bulb is 550, Find the probability of a bulb lasting for at most 600 hours. CS Scanned with CamScannerToday, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 6 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 3.9 seconds after the person arrives is P(x = 3.9) =
- The weight of a green forest frog has a normal distribution with mean 150.3 g and a standard deviation of 5g. Find the probability that a randomly selected frog weighs Less than 153g Between 150 g and 158 g please be hand writtenThe amounts of sugar in a serving of children's breakfast cereals is normally distributed with a mean of 8.4 grams and a standard deviation of 2.1 grams. For a sample of 15 children's breakfast cereals, what is the probability that the sample mean amount of sugar in a serving for the 15 cereals will be at least than 10 grams? Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ___________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(x¯<10 grams) = ___________Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…
- According to the empirical rule for population data that form a normal distribution, 95% of the values are approximately within which range? A ±2 standard deviations from the mean ±1 standard deviation from the mean (c) +3 standard deviations f rom the mean 1 +- standard deviation from the mean 2The average number of miles (in thousands) that a car's tire will function before needing replacement is 72 and the standard deviation is 18. Suppose that 50 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. 1. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 73.9 and 76.9. 2. For the 50 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 73.9 and 76.9.