Casey finds that when asked for their email address, 1/5 of her customers will share their address with her. To simulate the beh
avior of the next 4 customers, she writes the numbers 1, 2, 3, 4, and 5 on cards and mixes them up.She then picks 4 cards, records the results, and puts the cards back.. She repeats this experiment for a total of 20 trials. The results are shown in the table. Here, she let 1 represent someone sharing an email address and 2, 3, 4, and 5 represent someone not sharing an email address.
4121 1223 4233 3344 2434 4241 5415 3421 5214 2234 4211 1432 5532 4114 4325 4454 4523 4432 3423 1352
Using this simulation, what is the probability that, out of the next 4 customers, fewer than 2 will share their email address? Enter your answer, as a fraction in simplified form, in the box.
4121 1223 4233 3344 2434 4241 5415 3421 5214 2234 4211 1432 5532 4114 4325 4454 4523 4432 3423 1352
Using this simulation, what is the probability that, out of the next 4 customers, fewer than 2 will share their email address? Enter your answer, as a fraction in simplified form, in the box.
2 answers:
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Answer: provided in the explanation segment
Step-by-step explanation:
here i will give a step by step analysis of the question;
A: Optimization Formulation
given Xij = X no. of units of product i manufactured in Plant j, where i = 1,2,3 and J = 1,2,3,4,5
Objective function: Minimize manufacturing cost (Z)
Z = 31 X11 + 29 X12 + 32X13 + 28X14 + 29 X15 + 45 X21 + 41 X22 + 46X23 + 42X24 + 43 X25 + 38 X31 + 35 X32 + 40X33
s.t
X11 + X12 + X13 + X14 + X15 = 600
X21 + X22 + X23 + X24 + X25 = 1000
X31 + X32 + X33 = 800
X11 + X21 + X31 <= 400
X12 + X22 + X32 <= 600
X13 + X23 + X33 <= 400
X14 + X24 <= 600
X15 + X25 <= 1000
Xij >= 0 for all i,j
B:
Yes, we can formulate this problem as a transportation problem because in transportation problem we need to match the supply of source to demand of destination. Here we can assume that the supply of source is nothing but the manufacturing capability of plant and demand of destination is similar to the demand of products.
cheers i hope this helps!!
