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) 0.556744 B) 0.656318 C) 0.049787 D) 0.606531
Q. 2As the sample size increases, the effect of an extreme value on the sample mean becomes smaller.
Indicate whether the statement is true or false
Q. 3Let X represent the amount of time until 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 more than 10 minutes for the next student to arrive at the library parking lot.
A) 0.670320 B) 0.082085 C) 0.329680 D) 0.917915
Q. 4If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons, and a random sample of 64 cars is selected, there is approximately a 95.44 chance that the sample mean will be between 14 and 16 gallons.
Indicate whether the statement is true or false
Q. 5If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, 75.8 of the college students will take more than how many minutes when trying to find a parking spot in the library parking lot?
A) 2.8 minutes B) 3.2 minutes C) 4.2 minutes D) 3.4 minutes
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