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Q1) 30% of college freshmen at small private 4 year school are honoured scholarships. 80% of freshmen who are honoured scholarships at school go on to graduate, whereas 40% of those who are not honoured scholarships go on to graduate.
(a) Given that person goes on to graduate, determine the probability that person who graduated got a scholarship as freshman?
(b) Given that person goes on to graduate, determine the probability that person who graduated did not get a scholarship as freshman?
Q2) Average number of miles driven in 1 month is normally distributed with mean (µ) of 1,400 miles and standard deviation (σ) of 300 miles.
Auto insurer gives discounts to drivers falling in "bottom 25%" of miles driven in month (call it "infrequent driver" discount). Determine the highest number of miles (to nearest whole number) that motorist could drive in month and still qualify for discount?
Assume that 60 percent of the voters in a particular region support a candidate. Find the probability that a sample of 1,000 voters will yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.
The standard deviation of grade points was 0.65 and the mean was 2.89. The standard error for the sample was
Probability depends on normal distribution. If a random sample of nine 18 year old men is selected illustrate what is the probability that the mean height
A typical problem statement is correlation research is _____________
The amount ($1.00, $5.00, $10.00, $25.00, or $50.00) promised to each person was determined by randomization. For each person who was sent one of the surveys, The value of the X2 test statistic for testing the hypothesis
What is the probability that a cereal would be high calorie, given that it is high fiber? In other words, what is P (high calorie, given high fiber)?
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
The City Transit Authority plans to hire 8 new bus drivers. From the group of 100 qualified applicants, of whom 55 are men and 45 are women, 8 names are to be selected by lot. Suppose that Mary and John Lewis are among the 100 qualified applicants..
At α = 0.01 level of significance, test the hypothesis that these data can be described by a Poisson pdf.
What is the probability of obtaining 4 ones in a row when rolling a fair, six-sided die? Interpret this probability.
By using the normal probability distribution, what is the probability the car will be repaired in 35 minutes or less?
What is the level of measurement for the variable, "political ideology" measured as "Very Conservative", "Conservative","Moderate", "Liberal" and "Very Liberal".
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