Q1) Suppose that standard deck of 52 playing cards is arbitrarily shuffled and first 2 cards are dealt to you. Determine probability that you have blackjack? Blackjack is where one card is an ace and other card is worth 10 points. 10 point cards are Kings, Queens, Jacks and 10's.
Q2) Package delivery service claims that no more than 5% of all packages arrive at address late. Suppose that conditions for binomial hold, if sample of size 10 packages is randomly selected and 5 percent rate holds, wdetermineis the probability that more than 2 packages will be delivered late?
a) 0.0116
b) 0.0105
c) 0.0862
d) 0.0746
Q3) Fares received by taxi drivers working for City Taxi line are normally distributed with mean of $12.50 and standard deviation of $3.25. Based on this information, determinethe probability that specific fare will exceed $15.00?