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Problem :
There are three traffic lights between your house and a friend's house. As you arrive at each light, it may be red (R), yellow (Y), or green (G).
a. List the sample space showing all possible sequences of red and green lights that could occur on a trip from your house to your friend's. (Example: RGG, which represents red at the first light and green at the other two) Assume that each element of the sample space is equally likely to occur.
b. What is the probability that on your next trip to your friend's house, you will have to stop for exactly one red light?
c. What is the probability that you will have to stop for at least one red light?
Hypothesis test of difference between two means based on independent random samples, which one of the given is correct rejection region at significance level of .05?
One state lottery has 500 prizes of $1, 75 prizes of $15, 15 prizes of $100, 5 prizes of $450, 2 prizes of $1225, and 1 prize of 2500. Assume that 28,000 lottery tickets are issues and sold for $1. What is the lottery's expected profit per ticket?
If a group of 400 school children are selected at random, what is the probability that at most 70 children will miss school because of asthma?
What is the margin of error for a 95% confidence interval for the difference of the two means (low capacity - high capacity)? (Answer to the nearest hundredth.)
Suppose we have run a regression on 48 months of data and the regression equation is Y = 50000 + 1000*x (where x is the month number).
In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely..
How many bolts should be sampled in order to make us 95% confident that the sample mean bolt length is within .02 inches of the true mean bolt length?
Discuss something you have witnessed or observed in nature. Discuss the temptation to imply or infer causality and be sure to identify areas of future investigation that might be warranted to determine cause and effect.
How this event is interpreted? How might a person's mood, personality, or situation influence how he or she interprets this event?
Determine the following areas under standard Normal distribution curve.
A study was designed to compare variability of male and female diastolic blood pressure. The null hypothesis was that the population standard deviation were equal versus the alternative that they were not equal.
Our sample size is 17. Which value most accurately represents the critical value of Z that you would use to plug in for your interval?
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