Question 1: A 7-eleven convenience store is located in almost every corner of South Asian cities. These stores are famous for their cheap deals on daily necessities and consumable items. In one such store, on an average 5 crates of Gatorade drinks are being sold in a day. 1 such a Gatorade crate contains 50 pieces of Gatorade bottles and on average 10 bottles are found to be bad (dented). A jogger bought 7 Gatorade drinks randomly. Find the probability that how many good Gatorade bottles were there in the 7 bottles that the jogger bought-

1. 1 or fewer
2. Exactly 5
3. None of them were good

Question 2: On average, the electricity consumption of the monsters in Hotel Transylvania is 1650000 Watt per month (1 watt=.001 kilowatt). If the standard deviation is 320000 Watt-hours then-

1. Find the probability that then monthly electricity consumption during winter is less than 1950 Kilowatt-hour
2. Find the probability that the monthly consumption of electricity is between 900 to 1300 Kilowatt-hour.
3. What percentage of the guests consume electricity of more than 3000 Kilowatt per hour.

Question 3: The New York Times conducted a survey to see the reaction of the employees regarding the higher incentives that is tied to the CEO's salary package. A random sample of 900 employees are selected for this survey. It's been found that around 73% of the employees are in favor of the incentives. The population proportion is .73.

1. Find the probability that the sample proportion is less than .76
2. Find the probability that the sample proportion is within .025 of the population proportion.
3. Find the probability that the population proportion is greater than the population proportion by .03 or more.

Question 4: For Population (N) = 150000, mean = 50 and Standard deviation = 4, Find the z value for each of the following for n=30.

1. X_bar = 58
2. X_bar = 45
3. X_bar = 63