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Q1. Waiting in Line: A Wendy's manager performed a study to determine a probability distribution for the number of people, X, waiting in line during lunch. The results were as follows: (a) Verify that this is a discrete probability distribution. (b) Compute and interpret the mean of the random variable X. (c) Compute the standard deviation of the random variable X. (d) What is the probability that eight people are waiting in line for lunch? Q2. Smokers: According to the American Lung Association, 90% of adult smokers started smoking before turning 21 years old. Ten smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.
(a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 8 of them started smoking before 21 years of age. (c) Find and interpret the probability that fewer than 8 of them started smoking before 21 years of age. (d) Find and interpret the probability that at least 8 of them started smoking before 21 years of age. (e) Find and interpret the probability that between 7 and 9 of them, inclusive, started smoking before 21 years of age. Q3. You Explain It! Miles per Gallon: Elena conducts an experiment in which she ?lls up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each ?ll-up. A histogram of the miles per gallon indicates that a normal distribution with a mean of 24.6 miles per gallon and a standard deviation of 3.2 miles per gallon could be used to model the gas mileage for her car.
(a) The ?gure represents the normal curve with m = 24.6 miles per gallon and s = 3.2 miles per gallon. The area under the curve to the right of x = 26 is 0.3309. Provide two interpretations of this area. (b) The ?gure at the top of the next column represents the normal curve with m = 24.6 miles per gallon and s = 3.2 miles per gallon. The area under the curve between x = 18 and x = 21 is 0.1107. Provide two interpretations of this area. Q4. Assume that the random variable X is normally distributed, with mean m = 50 and standard deviation s = 7. Find the 90th percentile for X. Q5. Smokers: According to the Information Please Almanac, 80% of adult smokers started smoking before they were 18 years old. Suppose 100 smokers 18 years old or older are randomly selected. Use the normal approximation to the binomial to:
(a) approximate the probability that exactly 80 of them started smoking before they were 18 years old. (b) approximate the probability that at least 80 of them started smoking before they were 18 years old. (c) approximate the probability that fewer than 70 of them started smoking before they were 18 years old.
a bag contains 45 beans of three different varieties. each variety is represented 15 times in the bag. you grab 9 beans
suppose we choose independently 25 numbers at random uniform density from the interval 0 20. write the normal densities
Develop a regression model that would predict the DJIA based on the S&P 500 index. Based on this model, what would you expect the DJIA to be when the S&P is 1,100? What is the correlation coefficient (r) between the twomarkets?
1. The Inn at Columbia has 150 rooms with standard queen-size beds and two two rates: a full price of $200 and a discount price of $120. To receive the discount price, a customer must purchase the room at least two weeks in advance (this helps to ..
Using the table below, compare and contrast the main differences between two quantitative research designs and two qualitative research designs.
the probability that an american ceo can transact business in a foreign language is 20. 10 american ceos are chosen at
questions1 write introduction to spc statistical process control?2 explain the use of spc tools used at d2d?3 how could
At a certain university, 28% of the students major in zoology. Of all the students majoring in zoology, 68% are males. It is also known that 56% of all students at the university are male. Let Z represent the event that a randomly chosen student i..
Estimate of 3 days, a most likely time estimate of 8 days, and a pessimistic time estimate of 10 days - estimate of 6 days. and a pessimistic time estimate of 10 days.
For a hypothesis test about a population proportion or mean, if the level of significance is less than the p-value, the null hypothesis is rejected.
Two semiconductor factories are being compared to see if there is a difference in the average defect rates of the chips they produce. In the first factory, 250 chips are sampled. In the second factory, 350 chips are sampled. The proportions of def..
The manager of a local gymnasium has determined that the length of time patron spend at the gymnasium is normal distributed with mean 80minutes and standard deviation 20 minutes. What is the patrons who spend more than 120 minutes at the gymnasium..
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