Lucas is in first grade and works hard to print his alphabet letters on the lines on his notebook paper. in which direction is t

Response:

Clarification:

Last year's customer orders totaled 15000

Predicted orders for next year with a 15% rise = 15000 x 1.15 = 17250

Each customer order takes 1.5 hours to fulfill

Total time needed to satisfy customer orders = 17250 x 1.5 = 25875

Knowing that the standard work year comprises 2000 hours

Hence, the effective work year with a 2% capacity cushion

= Standard work year x ( 1 – Capacity cushion %/100)

= 2000 x 0.98  = 1960 hours

Workers required by manager

= Total time needed for orders / effective work year

= 25875 / 1960  = 13.20, rounded to 13

Thus, the manager will require 13 workers next year

Answer:

Part a:

Show the probability density function for the waiting times at Kroger, assuming they are exponentially distributed.

Solution:

Probability density function f(x) = (1/ )*e-x/  = (1/26)*e-x/26 (result)

Part b:

Calculate the probability that a customer waits between 15 and 30 seconds.

Solution:

0.2462

Part c:

Determine the probability that a customer must wait longer than 2 minutes.

Solution:

0.0099

Explanation:

All calculations are included.

YTM is calculated to be 4.795%. The formula for yield to maturity (YTM) is provided as follows: YTM = [C + (F - P)/N] / [(F + P)/2], where C represents the coupon payment, F symbolizes the bond's face value, P indicates the bond's price, and N denotes the time to maturity. In our scenario, since payments are semi-annual, we have C = 2.7% x 1000 = $27, F = $1000, P = 106% x $1000 = $1060, and N = (15 - 2) x 2 = 26. Therefore, YTM = [$27 + ($1000 - $1060) / 26] / [($1000 + $1060) / 2] = $24.692 / $1030 = 2.3973%. When adjusted to a yearly basis, it equates to 2.3973% x 2 = 4.795%.