# waiting times to receive food after placing an order at the local subway follow an exponential distribution with a mean of 60 seco

waiting times to receive food after placing an order at the local subway follow an exponential distribution with a mean of 60 seconds. what is the probability a customer waits less than 30 seconds?

### 1 thought on “waiting times to receive food after placing an order at the local subway follow an exponential distribution with a mean of 60 seco”

1. It is discovered that there is a 0.3934, or 39.34%. likelihood that a customer waits fewer than 30 seconds using the exponential distribution.

### Define the term exponential distribution?

• The exponential distribution is a mathematical distribution used in test statistic that frequently addresses the amount of time until a given event occurs.
• Events occur continually, independently, and at a steady average pace during this process.
The following equation describes an exponential probability distribution with mean m:
f(x) = μe∧(- μe)
The decay parameter is in the following:
μ = 1/m
When x is less than or equal to a, the probability is given by:
P(X ≤ x) = ∫ f(x) dx (limits 0 → a)\
which can be resolved as follows:
P(X ≤ x) = 1 – e∧(- μe)
Since 60 seconds is the mean in this problem, then decay parameter is:
μ = 1/60
The likelihood that a customer will wait under 39 seconds is:
P(X ≤ 30) = 1 – e∧(- 30/60)
P(X ≤ 30) = 0.3934
Thus, the probability that a consumer will wait less than 30 seconds is 0.3934, or 39.34%.
To know more about the exponential distribution, here
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