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What is the density of the sum of 3 unform [-1,1] distributions. Use 3. to simplify calculations. Sketch the plot. How does it look? What could you say about longer sums?
A fish tank in a pet store has 23 fish in it. 8 are orange and 15 are white. Determine the probability that if we select 4 fish from the tank, at least 2 will be white.
Suppose the prices of the top smartphones of 2014 are normally distributed with a mean of $533 and a standard deviation $76. Calculate the z-score that corresponds to a price of $592.
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
The weight of a sophisticated running shoe is normally distributed with a mean of 12 ounces and a standard deviation of 0.5 ounce.
Five students were randomly selected from a large university. The ACT scores for these students were 23, 12, 27, 32, and 26. Find the standard deviation for this sample data set.
Students in Jane Smiths math class took the Scholastic Aptitude Test. Five of the students were randomly selected. Their math scores are as follows: 552, 593, 358,352, 537. Find the mean score. Do n
A median of a distribution of one random variable X of the discrete or continuous type is a value of x such that P(X < x) <= 1/2 and P(X <= x) >= 1/2. If there is only one such x, it is
A fair coin is tossed 25 times. Calculate the chance of getting 17 heads and 8 tails.
Construct a bar chart and a pie chart for these data using the proportions in the table. Suppose 1002 adults participated in the survey. Find the frequency for each issue - that is the number of adu
Find the relative frequency of fatalities for each country. Construct a bar chart using frequency on the vertical axis, and a bar chart using relative frequency on the vertical axis. Which of these 2
You are conducting a survey regarding illicit drug use among teenagers in Baltimore schools. You obtain a cluster sample of 12 schools within the district and sample all the sophomore students in t
During each summer, many families spent part of their vacation time at a beach along the East or West Coast. Due to the popularity of movies like Jaws, and recent shark attacks at US beaches, Americ
A sports statistician would like to check this claim. Describe a method for obtaining a simple random sample of challenges during NFL games.
Michael and Kevin return to the candy store but this time they want to purchase nuts. They can;t decide among peanuts, cashews, or almonds. They again agree to create a mix. They bought 2.5 pounds o
Compute the sample standard deviation of the following test scores, 78,78,78,78. What can be said about a data set in which all the values are identical?
Applying the rule 68-95-99.7 rule. When designing the placement of a CD player in a new model car, engineers must consider the forward grip reach of the driver. Women have forward grip reaches that
You have received a year end bonus of $5000. You decide to invest the money in the stock market and have narrowed your investment options down to two mutual funds. The following data represent the h
Determine the population standard deviation. Find three simple random samples of size 4, and determine the sample standard deciation of each.
Concepts and applications Using the 68-95-99-.7 rule. Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 6
Listed below are measured amounts of lead (in micrograms per cubic meter, or ug/m^3) in the air. The EPA has established an air quality standard for lead of 1.5 mg/m3. The measurements shown below w
If a company being audited fails this test, what is the probability of a large or small inventory shortage? If a company being audited passes this test, what is the probability of no inventory shortag
Find the mean and median. Which measure of central tendency better describes the length of eruption?
A club has 200 members, 45 of whom are lawyers, 38 of the memebres are liars, while 132 are neither lawyers nor liars. What is the probability that if a random person is randomly chosen from the gr
The cost of parking is $9 per day. Suppose that if you were to park illegally, the probability of getting a ticket is 0.6. All ethical issues aside, at least how much should a parking ticket cost fo