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It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
a) What is the probability that all 6 are extroverts?
b) What is the probability that none of your professors are extroverts?
c) What is the probability that at least 2 of your professors are extroverts?
d) In a group of six professors selected at random, what is the expected number of extroverts? what is the standard deviation of the distributions?
An assumption for a significance test of the correlation coefficient is that the populations, the variance of each variable is the same at each point of the other variable.
Based on this sample, is Moe correct in his assertion? Write up formal commentary of results of your test.
According to recent surverys, 53% of households have personal computers. if a random sample of 175 households is selected, what is the probability that more then 75 but fewer than 110 have a personal computer?
We assume that we have selected two independent random samples from populations having proportions p 1 and p 2 and that p-hat 1 = 800/1000 and p-hat 2 = 950/1000
In a series of tests, the piece was let operate till failure, repaired immediately, and let operate till next failure and so on for 3 months. The total number failures observed were 3.
A sample of 100 widgets from the Acme production line shows that the average lifespan of these parts is 900 hours. The standard deviation of production has been 200 hours historically and is known to be normally distributed.
A final exam in Math 157 is normally distributed and has a mean of 75 with a standard deviation of 12. If 36 students are randomly selected, find the probability that the mean of their test scores is greater than 70.
The Starbucks in the Bauer College of Business found that 24% of customers purchase more than one cup of coffee per day from their shop. If 180 customers are randomly selected one day, what is the probability that no less than 25% of them purchase..
Using a normal distribution with a mean of 1118 and a standard deviation of 52 for the weights of steers, what percent of steers weigh over 1250 pounds, under 1100 pounds, between 1000 and 1150 pounds.
Find the least squares regression line by deciding which are the appropriate independent and dependent variables and calculating the equation of the line. State equation of line.
If a pregnancy length is randomly taken from this distribution, what is the probability that the length of that pregnancy is less than 260 days?
Blood type AB is found in only 3% of the population. If 320 people are chosen at random, find the probability of the following. (Round your answers to four decimal places.)
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