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1. Nikki tosses 3 balanced coins. Let X be the random variable "number of heads". Find the probability distribution.
2. There are 15 items present in a room, 4 of which are defective and 11 are in good condition. Two items are selected. What is the probability that the first is good and the second defective?
3. In the data set below, what is the mean absolute deviation? 6, 5, 7, 2, 4, 8
4. John rolls two fair dice, one green and one blue. Let A denote the event that the green die shows an even number. Let B denote the event that the blue die shows 5 or 6. Are the events A and B dependent or independent?
What type of correlation does the data in the above graph represent?
6. Jill had to do 100 questions in 120 minutes. After 60 minutes, she was able to complete 40 questions. Find the slope of line.
7. If random selection occurred only among male students that had an excellent academic background, what type of sampling is this?
What percentage of boys participated in baseball?
9. A Japan-based digital camera producers found the risk of an allergic reaction (rash) due to the rubber grip of their XX model camera. Based on sales data, an estimated 68,200 units of cameras were sold. The owner of the company must make a most cost-effective decision to fix the issue. If you are in that position, which choice below would be the most cost effective?
A. Recall all the sold cameras and change the old rubber grip with a new safer one. The financials behind this method include: ‐ The cost for each new rubber grip would be $40 ‐ Service charge for the employer fixing the problem would be $20 ‐ The cost to contact each customer to make the fix would be $1 ‐ A fine of $200,000 to be paid for Consumer Product Safety Commission ‐ An average of 90% customers avail the facility of fixing the problem
B. Contact each customer and ask them to provide the postal address to send an extra cap around the rubber grip to avoid direct contact with the consumer’s skin (the extra cap can be easily fitted by consumer). ‐ The cost for each new cap would be $20 ‐ The postal charge for sending cap would be $10 ‐ The cost to contact each customer to make the fix would be $1 ‐ A fine of $200,000 to be paid for Consumer Product Safety Commission ‐ An average of 95% customers avail the facility of fixing the problem
10. A research survey was conducted to know the opinion of students about new policies implemented by the college administration. The survey had a confidence level of 95% with a margin of error of 2. Also, 20% students supported the policies. How many students were surveyed?