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Suppose that a certain college class contains 52 students. Of these, 26 are seniors, 30 are chemistry majors, and 7 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a senior and a chemistry major? response as fraction
(b) Given that the student selected is a senior, what is the probability that he is also a chemistry major? response as fraction
Assuming that the mean and standard deviation of the original study hold, what is the probability of obtaining a sample mean of 5.9 miles or less?
What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
If the probability distribution of X is: Determine the expected value of X? Find out the variance of X?
A medical biologist was studying three bacteria that were known to be equally present in samples taken from the healthy human digestive system.
Differentiate both sides of the equation from part (a) with respect to x to obtain:
There was one witness to the accident. In court, the witness' ability to distinguish cab colors in the dark is questioned, so he is tested under conditions.
If the gas mileages are normally distributed with a standard deviation of 2.1, find the probability that a car has a gas mileage of between 29.2 and 30.3 miles per gallon.
Nielson Motors is considering an opportunity that requires an investment of $1,000,000 today and will provide $250,000 one year from now, $450,000 two years.
You then sort by random numbers in ascending order. Finally, you take the first 50 sorted employees as your sample. Does this approach constitute a statistical or a nonstatistical sample?
You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction, form, and strength.
A random group of 20 depressive patients has been given the MMPI. Their scores on a depression scale are as follows:
Prove that the probability of South's receiving exactly k aces when a bridge deck is divided into 4 hands is the same as the probability that a hand of 13 cards
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