Let X Represent the Amount of Time Till the Next

question 22

Multiple Choice

Let X represent the amount of time till the next student will arrive in the library parking lot at the university.If we know that the distribution of arrival time can be modeled using an exponential distribution with a mean of 4 minutes (i.e.the mean number of arrivals is 1/4 per minute) ,find the probability that it will take between 2 and 12 minutes for the next student to arrive at the library parking lot.

• A)0.049787
• B)0.556744
• C)0.606531
• D)0.656318

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Definitions:

Propan-1-Amine

An organic compound with the formula C3H9N, consisting of a propyl group attached to an amine functional group.

Nitrosonium Ion

A positively charged ion with the formula NO+, known for its role in organic nitrogen compound synthesis.

Secondary Amines

Organic compounds where a nitrogen atom is bonded to two carbon atoms, often represented as NHR2, where R denotes organic substituents.

N-Nitrosoamines

Organic compounds containing the functional group NNO, known for their roles as carcinogens.