Suppose I have an unfair coin, it lands on heads 75% of the time. If I flip this coin four times, what is the probability that I will get only 1 heads? What is the
2. During my office hours (from 12pm to 6pm), an average of about 1 student per hour comes in for help. Assuming that the probability of a student coming in is uniform throughout my office hours, what are the odds that on a particular day I would have 6 students come in for help? What is the mean number of students that will come see me on a particular day? Variance? Standard deviation?
3. The average bmi (body mass index) of 500 college students is
4. Suppose you have a sample of 5 people where X represents cookie consumption in the past week. the following X: (6, 5, 4, 1, 1). What is the mean of X? What is the Standard deviation of X? What is the Standard Error of X? Calculate the 95% confidence interval for X. Calculate the 99% confidence interval for X. Interpret your findings.
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- Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 97 graduates.Find the probability that a single randomly selected salary that doesn't exceed 126000 dollars.Answer = Find the probability that a sample of size n=97n=97 is randomly selected with a mean that that doesn't exceed 126000 dollars.Answer = Enter your answers as numbers accurate to 4 decimal places.arrow_forwardAccording to College Board, the average out-of-state tuition for a four-year public college was $8,893 for the 2013-2014 academic year. There are a total of 629 four-year public institutions in the U.S. Assume that the standard deviation for the tuition for these colleges is $950. A random sample of 60 four-year public colleges was selected. What is the probability that the average tuition from this sample is less than $9,000?arrow_forwardSuppose a population distribution has a mean = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?arrow_forward
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- According to San Jose Mercury News, children in China average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1 hours and the amount of time spent alone is normally distributed. We randomly survey one Chinese child living in a rural area. 1. Find the probability that the child spends more than 5 hour per day unsupervised. 2. What percent of the children spend less than 2 hours per day unsupervised? We randomly survey 100 Chinese children living in a rural area. 1. What is the chance that the average of unsupervised hour for these 100 children is less than 2.9? 2. What is the chance that the sample average of unsupervised hour for these 100 children is between 2.8 and 3.2 hours?arrow_forward* Your answer is incorrect. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i 98.80arrow_forward
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