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?
a. 0.0116
b. 0.0105
c. 0.0862
d. 0.0746
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?