A particular fruit’s weights are normally distributed, with a mean of 628 grams and a standard deviation of 23 grams.The heaviest 13% of fruits weigh more than how many grams? 
 
The Tie Shoppe paid $5901.79 for a shipment of 500 ties and wants to make a profit of 40% of the cost of the whole shipment. The store is having two special sales. At the first sale, it plans to sell 100 ties for $9.00 each, and at the second sale, it plans to sell 150 ties for 2.50 each. What should be the selling price of the other 250 ties for the Tie Shoppe to make a 40% profit on the whole shipment?
 
The cost of producing x picture frames is given by C(x)=270+1.6x. Determine the average cost function.
 
A family has a phone plan that includes 4 GB of data per month. 10 days into a 30-day month, the family has used 1 GB. At that rate, how many GB will the family use for the entire month? 
 
The weight of chocolate bars from a particular chocolate factory has a mean of 8 ounces with a standard deviation of .1 ounce. What is the z-score corresponding to a weight of 8.17 ounces? 
 
A small regional carrier accepted 20 reservations for a particular flight with 19 seats. 18 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 51% chance, independently of each other.
 Find the probability that overbooking occurs.Answer: Here n = 2, x = 1, p = 0.51P(x > 1) = P(2) = C(2,2)*0.51^2*(1-0.51)^0 = 0.2601Answer: 0.2601Find the probability that the flight has empty seats