Question

The length of time it takes a college student to find a parking spot in the...

The length of time it takes a college student to find a parking spot in the student center parking lot follows a non-normal distribution with a mean of 3.0 minutes and a standard deviation of 1 minute. Find the probability that the mean time to find a parking spot in the student center parking lot is less than 2.0 minutes for a randomly selected sample of 100 students

Homework Answers

Answer #1

Answer: The length of time it takes a college student to find a parking spot in the student center parking lot follows a non-normal distribution with a mean of 3.0 minutes and a standard deviation of 1 minute. Find the probability that the mean time to find a parking spot in the student center parking lot is less than 2.0 minutes for a randomly selected sample of 100 students.

Solution:

Mean, μ = 3.0

Standard deviation, σ = 1

Sample size, n =100

P(X < 2) = P(x - μ)/σ < (2-μ)/ σ)

P(X < 2) = P(z < (2-3)/1/√100)

P(X < 2) = P(z < -1)

= 1 - P(z > 1)

= 1 - 0.8413

P(X < 2) = 0.1587

Therefore, the probability that the mean time to find a parking spot in the student center parking lot is less than 2.0 minutes for a randomly selected sample of 100 students = 0.1587

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The length of time it takes college students to find a parking spot in the library...
The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 6.5 minutes and a standard deviation of 1 minute. a. Find the probability that it will take a randomly selected college student more than 4.0 minutes to find a parking spot in the library parking lot. b. Find the probability that a randomly selected college student will find a parking spot in the library...
The length of time it takes college students to find a parking spot in the library...
The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
Suppose we know that the length of time it takes a college student to find a...
Suppose 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. What is the point in the distribution in which 95.44% of the college students exceed when trying to find a parking spot in the library parking lot?  What about 99.7%? (Explain/show how you obtain your answer.) What statistical rule about normal...
6. The length of time it takes a shopper to find a parking spot in the...
6. The length of time it takes a shopper to find a parking spot in the Costco parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What is the probability that a randomly selected shopper will take between 3 and 5 minutes to find a parking spot? Include 4 decimal places in your answer. 7. The amount of gold found by miners in Alaska per 1,000 tons of dirt follows...
b) If we know that the length of time it takes a college student to fingd...
b) If we know that the length of time it takes a college student to fingd 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, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot. c) The mean score of all pro golfers for a particular course has...
Part 1: The length of time it takes to find a parking space at 9 A.M....
Part 1: The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a standard deviation of 3 minutes. Find the probability that it takes at least 9 minutes to find a parking space. (Round your answer to four decimal places.) Part 2: The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5...
The length of time it takes to find a parking space at 9 A.M. follows a...
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a standard deviation of 3 minutes. Sixty percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places.)
The length of time it takes to find a parking space at 8am follows a normal...
The length of time it takes to find a parking space at 8am follows a normal distribution with a mean of 10 minutes and a standard deviation of 3 minutes. Calculate the interquartile range.
The length of time it takes to find a parking space at 9 A.M. follows a...
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a standard deviation of 2 minutes. Eighty percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places.) min
1. The amount of gold found by miners in Alaska per 1,000 tons of dirt follows...
1. The amount of gold found by miners in Alaska per 1,000 tons of dirt follows a normal distribution with a mean of 12 ounces and a standard deviation of 2.75 ounces. What is the probability the miners find less than 8 ounces of gold in the next 1,000 tons of dirt excavated? Include 4 decimal places in your answer. 2. The length of time it takes a shopper to find a parking spot in the Costco parking lot follows...