Suppose that the probability of a customer buying a Paneer roll at a fast food counter is 0.6; If there are 5 customers in line and 2 paneer rolls are already prepared, what is the probability that the customer will have to wait for a Paneer roll?
Answers
Step-by-step explanation:
probability of the customer waiting for panner roll is 0.23 .
Given : probability of a customer buying a Paneer roll at a fast food counter is 0.6; If there are 5 customers already in line and 2 paneer rolls are already prepared,
To Find : probability that the customer will have to wait for a Paneer roll
Solution:
probability of a customer buying a Paneer roll at a fast food counter is
0.6;
p = 0.6
q = 1 - 0.6 = 0.4
5 customers already in line
probability that the customer will have to wait for a Paneer roll
if 2 or more customer need paneer roll
= P(2) + P(3) + P(4) + P(5)
= 1 - P(0) - P(1)
P(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 5
= 1 - ⁵C₀(0.6)⁰(0.4)⁵- ⁵C₁(0.6)¹(0.4)⁴
= 1 - (0.4)⁵ - 3(0.4)⁴
= 1 - (0.4)⁴(3.4)
= 1 - 0.08704
= 0.91296
0.91296 is the probability that the customer will have to wait for a Paneer roll
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