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There are 10 tickets in the box, 3 of them are winning. Find the probability that the first taken ticket is winning ticket and the second taken ticket is winning as well. Taken ticket is not returne
A recent report indicated an average family of four (2 parents and 2 children under the age of 16), spends $500 per month on gasoline. Assume the distribution of gasoline consumption expenditures fo
Consider a case where demand follows a repeating pattern of medium-low-medium-high-medium-low-medium-high-etc, where the difference between low and med is 5 units, and the difference between med and
Compute the mean, variance, and squared coefficient of variation of X. Are X and Y independent? Compute the conditional expectations E[X|Y = 1] and E[X|Y > 1].
A consumer watchdog organization is concerned about credit card debt. A survey of 10 young adults with credit card debt of more than $2,000 showed they paid an average of just over $100 per month ag
Assume X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following:
In a sample of discharge of suspended solids from a phosphate mine, it was noted that the mean daily discharge was 27 mg/L and variance was 196.
What is the probability of obtaining 2 heads out of 5 tosses of a coin in a binomial distribution?
A student earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than the student with the
A company's construction time follows a normal distribution. The mean time to construct a building is 100 days and the standard deviation is 20 days. The construction team will receive a penalty if
To compare the effects on energy intake of drinking wine either before or with a meal, 11 men participated in a laboratory study. On each day of three day trial-period, participants were given break
However, of the products that were not successful, 20 percent of the time market research was used. If market research is performed for a new product, what is the probability that the product is act
Suppose the lifetime of a particular appliance follows an exponential distribution with a mean of 10 years. What is the probability that the appliance will fail in less than 5 years?
There is a 10% chance of the part being defective if provided by Company A, a 30% chance of the part being defective if provided by Company B, and a 70% chance of the part being defective if provide
The monthly earnings of computer programmers are normally distributed with a mean of $4,000. If only 1.7% of programmers have monthly incomes of less than $2,384, what is the value of standard devia
Suppose that two fair (i.e., the probability of both Heads and Tails is 0.5) coins are tossed, and we observe the results. There are 4 possibilities: {H, H}, {H, T}, {T, H}, {T, T}. Assume a H wins
List the three null hypotheses for this test (words and symbols). Which of the null hypotheses were rejected? Sketch a graph of these results.
A company's construction time follows a normal distribution. The mean time to construct a building is 100 days and the standard deviation is 20 days.
Forty percent of all high school graduates work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, 10 students are selected at random,
You want to test the hypothesis that Bay Area students are less likely to have tattoos than the state average. You survey 10 Bay Area students and find that 2 of them have tattoos. How likely is it
If a random variable can take on a countable number of values, one would use a discrete distribution.
The number of customers at Quiet Morning Bakery is believed to follow a Poisson distribution with a mean of 2 customers per minute. During a randomly selected five minute interval, what is the proba
If a random variable can take on a measurable infinite number of values (such as a person's weight, height, or temperature), one would use a discrete distribution.
In a random sample of 5 parts on an assembly line, the probability that one of the parts is defect is 15% and follows a binomial distribution. What is the probability of 3 parts being defective?