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1) Suppose you roll two dice. Let A represent the event that the first die is a four, let B represent the event that the total showing on the two dice is six, and let C represent the event that this total is seven. Two of these events are independent. Which two? Explain.
2) X is a normally distributed random variable with mean 10 and variance 24.
a. Find P(X bigger 14)
b. find P(8 smaller X smaller 20)
c. Find the probability that X takes on a value that is at least 6 away from its mean.
d. Suppose that X* is defined such that P(X bigger X*) = .10. What is X*?
To test whether there is any association between two variables using Chi-Square test for independence.
Construct a grouped frequency distribution using six classes.
Investigate the cost of a home mortgage and to determine the monthly payment.
Suppose you found that in doing the hypothesis test, you were able to reject the null hypothesis. What is the most appropriate conclusion to draw?
Do the data indicate a significant difference between the frequency distributions for male and females? Test at the .05 level of significance and describe the difference.
The chance both flights are full is 0.6. Are the two flights being full independent events and What was the mean ranking for the females in this class
Determine the probability that mean annual snowfall during 40 randomly picked years will exceed 111.8 inches?
Use expected collision claim amount to find out the collision insurance premium that would permit the company to break even on collision portion of policy.
Create the table for frequency distribution that has 16 class intervals of width 1 inch. Utilize 61.5 inches as lower limit of first interval and 62.5 as upper limit.
The data below shows the time to process an inpatient admission, before and after a system usage training session was given. The following hypotheses were formulated for this study.
Determine the distributions given below represent a probability distribution. Justify your answer.
A probability value of .25 means that an event will occur:
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