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1. Consider rolling two dice once. Calculate the probability of the...
A, rolling a sum of 5 or an even sum
B, rolling a sum of 7 or 6
C,rolling a sum of 10 or an odd sum

2.six(6) women, 4 men, 3 boys and 7 girls enter a competition. They each have an equally likely chance of winning. What is the probability that the winner will be..
A, female?
B, a child?
C, a man?
1. In a certain area, 50% of the households are using electricity as a source of energy, 30% are using paraffin and 20% are using coal. The users of electricity use 25% for cooking, 25% for lighting, 20% for heating and 30% for small appliances. Coal is used only for cooking, and paraffin is used for cooking (50%),heating (25%) and lighting (25%).

A, summarise all the possible energy usage outcomes using a tree diagram and write the probability values on the branches.
B, what is the probability that a randomly chosen household will be using electricity for lighting?
Suppose three laptops are tested. Let D represent the defective laptop and N for the non-defective laptop. If we let X be the random variable representing the number of non defective laptops. What are the possible values of the random variable?

Instructor Ramos is concerned about the amount of time teachers spend each week doing


schoolwork at home. A simple random sample of 56 teachers had a mean of 8.0 hours per week


working at home after school. Construct and interpret a 95% confidence interval for the mean


number of hours per week a teacher spends working at home. Assume that the population


standard deviation is 1.5 hours per week.



What appropriate test statistic is used given the

sample size is 35 and sample standard deviation is 1.2?


In a study by Thomas et al. (A-14) the Poisson distribution was used to model the number of patients per month referred to an oncologist. The researchers use a rate of 15.8 patients per month that are referred to the oncologist. Use Table C in the Appendix and a rate of 16 patients per month to calculate the probability that in a month: (a) Exactly 10 patients are referred to an oncologist (b) Between five and 15 inclusive are referred to an oncologist (c) More than 10 are referred to an oncologist 130 CHAPTER 4 PROBABILITY DISTRIBUTIONS3GC04 11/24/2012 13:51:50 Page 131 (d) Less than eight are referred to an oncologist (e) Less than 12, but more than eight are referred to an oncologist


As a chemist, you added a compound to an oil base hoping to increase its lubricating

qualities. Twenty solutions, 10 with the compound and 10 without, were compared with

respect to their ability to lubricate machinery. Each is graded on a scale of 0 to 10, with 10

being the best. Based on the data on the table, does it appear that

the addition of the compound increases lubrication? Using 𝛼 = 0.05, test the hypothesis that there is no significant difference in the lubricating qualities of the solutions

. What conclusions can be drawn from the decision?


Number of times the first card is space card and the second card is not a face card
Number of times the first card is face card and the second card is not a face card

During christmas holidays the recorded temperature for 3 days were 24 celsius 28 celsius and 23 celsius what was the average temperature


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