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Two chess players have the probability Player A would win is 0.40, Player B would win is 0.35, game would end in a draw is 0.25. If these two chess players played 12 games, what is the probability that Player A would win 7 games, Player B would win 2 games, the remaining 3 games would be drawn?
The probabilities of a machine manufacturing 0,1,2,3 and 5 defective parts in one day are 0.75,0.17,0.04,0.025,0.01 and 0.005 respectively.Find the mean of the probability distribution.
80% of all business startups in the IT industry report that they generate a profit in their first year. If a sample of 10 new IT business startups is selected, find the probability that exactly seven will generate a profit in their first year.
Two chess players have the probability Player A would win is 0.40, Player B would win is 0.35,
game would end in a draw is 0.25. If these two chess players played 12 games, what is the probability that Player A would win 7 games, Player B would win 2 games, the remaining 3 games would be drawn?
In a restaurant an average of two out of every five customers asks for water with their meal. A family
of ten members arrives in the restaurant. What is the probability that:
a. Exactly seven members ask for water?
b. Less than nine members ask for water?
Suppose a researcher goes to a small college of 200 faculty, 12 of which have blood type O-negative. She obtains a simple random sample of the faculty. Let the random variable X represent the number of faculty in the sample of size that have blood type O-negative.
a. What is the probability that 3 of the faculty have blood type O-negative?
b. What is the probability that at least one of the faculty has blood type O-negative?
An auto battery company claims that their batteries’ mean
life is 50 months. In order to check this claim, a DTI
researcher took a random sample of 18 of these batteries
and found that the mean life is 48.8 months with a
standard deviation of 7 months. Assume that battery life
follows a normal distribution, test with 90% confidence
whether the companies’ claim is different from the true
a reading center demands that the students will perform better on a standardized reading test after going through the reading test after going through the reading course offered by their center. the table shows the reading scores of 5 students before and after the course. at α=0.10, is there enough evidence to conclude that the students’ scores after the course are better than the scores before the course?
STUDENT BEFORE AFTER
1 85 88
2 96 85
3 70 89
4 76 86
5 81 92
1. Provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence.
1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1,…
Solve the spherical triangle right angled C given a= 23° 10' and c = 25° 12'
