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When one thinks of the normal distribution, the first thing that comes to mind is the bell curve and grades. While this is one example of a normal curve that is widely recognized, it is not the only one. Try to come up with a unique normal distribution. Explain your curve with items such as the mean and standard deviation, if available. What do the areas in the intervals µ - σ to µ + σ, µ - 2σ to µ + 2σ and µ - 3σ to µ + 3σ represent as far as areas under the normal curve? If you have the mean and standard deviation, calculate what the actual intervals are for your curve. Please include any citations regarding where you obtained your data for the curve.
The same roulette wheel is spun two more times. What is the probability that a ball fall in a green bin at least once in the two spins, to three significant digits?
Compute the pdf of continuous random variable Z where Z = X + Y and X is a continuous random variable uniformly distributed on [0, 2] and Y is a continuous random variable uniformly distributed on [0, 4]. Assume that X and Y are independent.
Determine the minimum sample size to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.2 years.
In a survey about soft drinks it was found that 5% of the respondents like diet soft drinks. 12% of them liked the brand Coke. Of all the Diet soda drinkers 40% liked Coke.
A cell phone company collects data from a random sample of 500 households. The results indicate that 135 of the households would add an extra cellular number, provided it was offered at a reduced monthly cost.
You invest $20,000 at an annual interest rate of 8%, compounded continuously. How long does it take for your balance to grow to $100,000? Round off to the nearest year
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about null hypothesis, and final conclusion that addresses the original claim.
What is the probability that the test will commit a Type II error?
Three chips are then selected at random and without replacement from II. (a) What is the probability that all three are white?
A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this distribution, what is the probability that the score will be less than X = 55?
Write out the ANOVA table just showing Sources of Variability and degrees of Freedom and indicate which SV are fixed effects and which are random.
a certain grade egg must weigh at least 2 oz. if the weights of eggs are normally distributed with a mean of 1.5 oz and
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