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The heights of adult male is normally distributed with mean 170cm and standard division is 10cm Find the probability of a male between 180 and 190cm?
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(alisa4u2009@Yahoo.ca)
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A particular fruit's weights are normally distributed, with a mean of 298 grams and a standard deviation of 13 grams.If you pick one fruit at random, what is the probability that it will weigh between 262 grams and 269 grams?
A particular fruit's weights are normally distributed, with a mean of 760 grams and a standard deviation of 15 grams. If you pick one fruit at random, what is the probability that it will weigh between 722 grams and 746 grams-----A particular fruit's weights are normally distributed, with a mean of 567 grams and a standard deviation of 25 grams.
The average amount customers at a certain grocery store spend yearly is 636.55 Assume the variable is normally distributed If the standard deviation is 89.46 find the probability that a randomly?
.820=82.0%
The life of an electronic transistor is normally distributed with a mean of 500 hours and a standard deviation of 80 hours determine the probability that a transistor will last for more than 400 hours?
z score = (400-500)/80=-1.25 probability under curve to right of -1.25 = .8944
True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?
True.
What percentage of the normally distributed population lies within the plus or minus one standard deviation of the population mean?
68.2%
A particular fruit's weights are normally distributed, with a mean of 298 grams and a standard deviation of 13 grams.If you pick one fruit at random, what is the probability that it will weigh between 262 grams and 269 grams?
A particular fruit's weights are normally distributed, with a mean of 760 grams and a standard deviation of 15 grams. If you pick one fruit at random, what is the probability that it will weigh between 722 grams and 746 grams-----A particular fruit's weights are normally distributed, with a mean of 567 grams and a standard deviation of 25 grams.
The miles per gallon for a mid-size car is normally distributed with a mean of 32 and a standard deviation of 8 what is the probability that the mpg for a selected mid-size car would be less than 33.2?
The MPG (mileage per gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What is the probability that the MPG for a selected mid-size car would be less than 33.2?
The average amount customers at a certain grocery store spend yearly is 636.55 Assume the variable is normally distributed If the standard deviation is 89.46 find the probability that a randomly?
.820=82.0%
Adult cereal is normally distributed with a mean of 920 grams and a standard deviation of 10 grams What is the probability that it will weigh less than 895 grams?
Since adult cereal is normally distributed with known mean and known standard deviation, the best way to find this probability is to find the z-score corresponding to adult cereal weighing 895 grams and then using a normal probability table to find an approximate probability (usually accurate to 4 decimal places). The z-score is (895-920)/10=-2.5. So, the probability that adult cereal will weigh less than 895 grams is 0.0062.
What are the best statistics to use for data that is normally distributed?
The mean and standard deviation. If the data really are normally distributed, all other statistics are redundant.
Steps for how to do a z-score problem in statistics?
If you have a variable X distributed with mean m and standard deviation s, then the z-score is (x - m)/s. If X is normally distributed, or is the mean of a random sample then Z has a Standard Normal distribution: that is, a Gaussian distribution with mean 0 and variance 1. The probability density function of Z is tabulated so that you can check the probability of observing a value as much or more extreme.
The life of an electronic transistor is normally distributed with a mean of 500 hours and a standard deviation of 80 hours determine the probability that a transistor will last for more than 400 hours?
z score = (400-500)/80=-1.25 probability under curve to right of -1.25 = .8944
Why is it that only one normal distribution table is needed to find any probability under the normal curve?
Anything that is normally distributed has certain properties. One is that the bulk of scores will be near the mean and the farther from the mean you are, the less common the score. Specifically, about 68% of anything that is normally distributed falls within one standard deviation of the mean. That means that 68% of IQ scores fall between 85 and 115 (the mean being 100 and standard deviation being 15) AND 68% of adult male heights fall between 65 and 75 inches (the mean being 70 and I am estimating a standard deviation of 5). Basically, even though the means and standard deviations change, something that is normally distributed will keep these probabilities (relative to the mean and standard deviation). By standardizing these numbers (changing the mean to 0 and the standard deviation to 1) we can use one table to find the probabilities for anything that is normally distributed.
True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?
True.
What percentage of the normally distributed population lies within the plus or minus one standard deviation of the population mean?
68.2%
When an average rate of return of 16.7 percent and a standard deviation of 43.1 percent What is the approximate probability that this stock will yield more than 60 percent in any given year?
Assuming the returns are nomally distributed, the probability is 0.1575.
What is the formula to convert normal distribution to the standard normal distribution?
If a variable X, is distributed Normally with mean m and standard deviation s thenZ = (X - m)/s has a standard normal distribution.
