1. The AMI Company has 2 assembly lines in its Kansas City plant. Line A produces the average of 335 units per day with the standard deviation equal to 11 units. Line B produces the average of 145 units per day with the standard deviation equal to 8 units. Based upon this information, which line is relatively more consistent?
2. Suppose that a standard deck of 52 playing cards is randomly shuffled and first 2 cards are dealt to you. Find out the probability that you've a blackjack? A blackjack is where one card is an ace and other card is worth 10 points. The 10 point cards are Kings, Queens, Jacks and 10's.
3. A package delivery service claims that no more than five percent of all packages arrive at address late. Supposing that the conditions for binomial hold, if a sample of size 10 packages is randomly chosen and the 5 percent rate holds, find out the probability that more than 2 packages will be delivered late?
4. The fares received by taxi drivers working for City Taxi line are normally distributed with the mean of $12.50 and standard deviation of $3.25. Based upon this information, find out the probability that the specific fare will exceed $15.00?