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Q1) Assume a professor arbitrarily chooses 3 new teaching assistants from the total of 20 applicants-12 male and 8 female students. Let X be number of females who are hired.
i) Determine the probability that no female are hired.
ii) Determine the mean and standard deviation of X.
Q2) In testing lethal concentration of chemical found in polluted water, it is determined that certain concentration will kill 40% of fish which are subjected to it for 24 hours. If 5 fish are placed in the tank concentration of chemical, determine the probability that after 24 hours.
i) Exactly 4 survive
ii) At least 4 survive
iii) At most 1 survives.
The mean amount of time a (unnamed) computer server is down is 18.3 minutes with a standard deviation of 5.7 minutes.
Using the following data on 15 workers, construct an exact 95% confidence interval for µ.
the maximum point total for the quarter was 200. The point totals for the 10 students are given in the stemplot below. For the density curve displayed below, which of the following is true?
At the .05 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets?
Determine the value of correlation coefficient between these 2 variables?
The average number of putts per hole for each player and their average driving distance is used to predict their total winnings using the multiple regression model where the deviations εI are assumed to be independent and Normally distributed with..
Which of the following statements is consistent with the scatterplot
A teacher gave a 25 question multiple choice test. After scoring the tests, she computed a mean and standard deviation of the scores. The standard deviation was 0. Based on this information
Determine the calculated value of the test statistic? What distribution does test statistic have when null hypothesis is true?
How likely is it that the store owner will make at least $7,000 if she implements your suggestion?
What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?
Drug sniffing dogs must be 95% accurate. A new dog is being tested and is right in 46 of 50 trials. Find a 95% confidence interval for the proportion of times the dog will be correct.
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