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Steven Nash and Shaquille O'Neal are basketball players and will play a game. In the game, Nash will get 2 free throw attempts and O'Neal will get 3 free throw attempts. Overall, Nash makes a basket on 90% of free throw attempts, O'Neal makes a basket on 50% of his free throw attempts. Nash will win the game if he makes more baskets on the free throws than O'Neal (if they tie with the same number of baskets, O'Neal wins the bet). We will assume independence between the players and the attempts. Let N denote the number of baskets made by Nash and S denote the number of baskets made by O'Neal. a) What is the distribution and parameter(s) for N and for S? b) What is the probability that Nash will win the game? c) Suppose that they play the game (as described above) 10 times, what is the probability that Nash will win 4 times? (hint: use the information you found in part b) d) Suppose that they play the game (as described above) 10 times, how many games does Nash expect to win? e) Suppose that they play the game (as described above) 10 times, what is the probability that O'Neal first win is in the second game?
Would you recommend test- ing H0 : m = 5 versus Ha : m> 5 or H0 : m= 5 versus Ha : m
Mean of $62000 per year and a standard deviation of $5000 per year. what percent of police officers make: what salary represents the top 5%?
A Tire company has developed a new type of tire. Extensive testing shows that the number of miles the new tire will run before wearing out is normally distrubuted with a mean of 40,000 miles and a standard deviation of 4,000 miles
If you choose 12 vehicles at random, what is the probability that more than half(that is, 7 or more) carry just one person?)create a probability distribution table and a cumulative distribution.
Of all 3 to 5 year old children, 56% are enrolled in school. A sample of 500 children age 3 to 5 year old is ramndom selected. Find the probability that at least 250 children are enrolled in school.
A precision parts manufacturer produces bolts for use in military aircraft. The specifications for bolt length are 37.50 ± 0.25 cm. The company has established an -chart and an R-chart using samples of size five.
Construct a stem and leaf plot of the income. what do you predict about the shape of the population distribution. complete the following sentence. Fifty percent of the data falls below $ ______.
Statistical aptitude scores are known to be normally distributed, with mean = 50. A researcher has designed a new program intended to improve students statistical aptitude, and has enrolled a sample of 30 students in it.
If the computed value of F is 5.01 and the critical value is 2.67, we would conclude that all the population means are equal. Unlike student’s t distribution, there is only one F distribution.
Construct a 95% confidence interval for the population mean, μ. assume the population has a normal distribution. In a random sample of 26 computers.
Jim's average delivery time was 38 minutes whereas Alison's average delivery time was 40 minutes. The respective standard deviations were 5 minutes and 4 minutes.
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
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