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A bag contains four different cards, labeled green, red, blue and yellow. Two cards are selected at random from the bag "replacement," meaning that after the first selection is made, the selected card is returned to the bag before the second selection is made. "At random" means that all cards in the box have an equal chance of being selected.
a. Define the sample space for this experiment.Hint: how many combinations you can select two cards from four cards with four different colors. You need to clearly write down.
b. Is the event of choosing card green or blue on the first selection independent of choosing card green or red on the second selection? Why or why not?Hint: how many times green could come first if two cards (let us say that four times) are selected or the same for blue. Think of that and then divide it by probability for entire set given in a section. You know how to find independence?
A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate.
The average number of hours of sleep per night that a college freshman gets is 6.50 with a standard deviation of 1.80 hours. If 35 college freshmen are randomly chosen find the probability that they average at least seven hours of sleep per night.
The following are average weekly inventory costs in thousands of dollars for two proposed inventory control policies. The values were obtained from independent replications of a simulation model of the system.
Examine the two standard deviations. What do these indicate about the range of benefits enjoyed by the two groups?
A state survey investigates either the proportion of 8percent for employees who commute by car to work is higher than it was five years ago.
Let B be the event that a randomly selected person from this sample is employed. What is P(A|B) (rounded to two decimal places)?
Suppose a t- test is being applied to find out if the population monthly expenditure mean is less than $212. The level of significance selected is 1% and 26 accounts are sampled. What is the critical value?
College is 0.74. A random sample of 280 high school seniors is surveyed. Describe the distribution of the number of students in the sample of 289 that will not attend college.
Compare these with the percentages specified by Tchebysheff's Theorem.
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
If the weight distribution is known to be normally distributed, do the data support the veterinarian's suspicion? Conduct a hypothesis test at the 5% significance level. Define your parameter (μ), state your hypotheses, conduct the test and write ..
Rob Johnson is a product manager at Diamond Chemicals, which is considering whether to launch a new product line that will require it to build a new facility.
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