Define Normal
The mean of the standard normal distribution is...
What is 0
Given a mean of 86 and a standard deviation of 5, find the indicated probability: P(x>75)
0.9861 or 98.61%
Use the Standard Normal Table to find the z-score that corresponds to the cumulative area of 0.0918
-1.33
a population has a mean of 100 and a standard deviation of 15. Find the mean and standard deviation of a sampling distribution of sample means with a sample size of n = 250
100; 0.949
Decide whether you can use the normal distribution to approximate the random variable x if n=15, p=.70, and q=0.30
Name three characteristics of a Normal Distribution
1.It is symmetrical about the mean
2. The mean, median and mode are equal
3. The total area under the curve is equal to 1
4. it is bell-shaped
5. It approaches but never touches the X axis
Given a mean of 219 and a standard deviation of 41.6, find the following probability: p(200<x<239)
0.3616 or 36.16%
Find the z-score that has 11.9% of the distribution's area to its right
1.18
For a sample of n = 36, find the probability of a sample mean being less than 12.2 if the population mean is 12 and the standard deviation is 0.95
0.8962 or 89.62%
Write the inequality for P(there are fewer than 65 successes)
P(x<65)
Find the area under the standard normal curve to the left of z = 1.36
0.9131
The number of corgi puppies on a corgi puppy farm are normally distributed with a mean of 69.6 corgis and a standard deviation of 3.0 corgis. Find the probability that a corgi farm will have for than 72 corgis.
0.2119 or 21.19%
Find the z-score for which 5% of the distribution's area lies between -z and z
0.06 and -0.06
For a sample of n=75, find the probability of a sample mean being greater than 221 if population mean is 220 and a standard deviation of 3.9
0.0132 or 1.32%
Use the correction for continuity to rewrite the binomial probability of P(x > 109)
P(x>109.5)
Fine the area under the Normal curve between z = -2.33 and z = 2.33
0.9802
The amount of wood that a woodchuck chucks if a wood chuck could chuck wood is normally distributed with a mean of 25 woods and a standard deviation of 3 woods. Find the probability that the woodchuck would chuck between 23 and 25 woods.
0.2486 or 24.86% chance that a woodchuck would chuck 23 to 25 woods if a woodchuck could chuck wood
In a survey of men in the United States, the mean height was 69.6 inches with a standard deviation of 3.0 inches. What height represents the 90th percentile
73.44 inches
The number of eggs a female platypus lays during its lifetime is normally distributed, with a mean of 800 eggs and a standard deviation of 100 eggs. Random samples of 15 platypi are drawn from this population and the mean of each sample is determined. Find the mean and the standard error of the mean.
800; 25.820
A survey of Pet owners in the US found that 24% talk to their pets more than they do real people. You randomly select 25 pet owners. and ask them if they feel this way. Find the probability that more than 8 of them will talk to their pet more than to you.
0.121 of 12.1%
Find the area under the normal curve to the left of z = -1.96 or to the right of z = 1.96
0.05
The number of shells that Sally's sell by the sea shore is normally distributed with a mean of 100 sea shells sold by the sea shore and an standard deviation of 12 sea shells sold by the sea shore. What percent of Sally's sell more than 125 sea shells by the sea shore?
1.88% of Sally's sell more than 125 sea shells by the sea shore.
The weights of the contents of a cereal box are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.07 ounces. Boxes in the lower 5% do not meet the minimum weight requirements and must be repackaged. What is the minimum weight requirement for a cereal box?
19.88 ounces
The mean height of little green men on Pluto (They still think it's a planet) is 69.6 cm. A random sample of 60 little green men is selected. What is the probability that the mean height for the sample is greater than 70 cm? Assume a standard deviation of 3.0 cm.
0.1515 or 15.15%
A survey of workers in the US found that 80% of them will tell everyone TGIF every Friday like clockwork even though everyone knows it's Friday and everyone is excited that it's Friday. You randomly select 40 workers. Find the probability that at most 26 workers will say TGIF to you on this upcoming Friday.
0.0150 or 1.5%