# Math for educators

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 5.5 minutes and a standard deviation of 1 minute. Find the
probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a
parking spot in the library lot.

1. 👍
2. 👎
3. 👁
1. 4-5.5 = -1.5
z =-1.5/1 = -1.5 or 1.5sigma below mean

6.5 - 5.5 = 1
z = 1/1 = 1 sigma above mean
so what fraction of a normal distribution lies between z = -1.5 and z = + 1?
from table
F(-1.5) = .067 are below -1.5
F(1) = .841 are below +1
so .842-.067 are between

1. 👍
2. 👎

## Similar Questions

1. ### statistics

According to a college survey, 22% of all students work full time. Find the mean and standard deviation for the number of students who work full time in samples of size 16.

2. ### Geometry

Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the parking lot? b. How far will he have to walk from the parking lot to get to the refreshment stand?

3. ### Statistics

If 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, find the point in the

4. ### Calculus

a college is planning to construct a new parking lot. the parking lot must be rectangular and enclose 6000 square meters of land. A fence will surround the parking lot, and another fence parallel to one of the sides will divide

1. ### Economics

Suppose a university decides to alter its tuition schedule by separating its students based on how many years of college they have completed. Most university programs require four years to complete. First-year students would get a

2. ### statistics

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 79 minutes and a standard deviation of 8 minutes. Answer the following questions. Assume that the class has 60

3. ### math

ANSWER THESE NOW PLEASE !!!!!!! 2.yesterday ,a parking lot had 10 cars parked in it.of the cars parked in the parking lot l,40% were silver,3 were red,and the rest were blue.how many of the cars were blue? A.2 cars B. 5 cars C. 3

4. ### Math

Three fourths of college students use the internet more than the library. Nine hundredths use the library more. How many times more students use the internet?

1. ### college

Do students at various colleges differ in how sociable they are? Twenty-five students were randomly selected from each of three colleges in a particular region and were asked to report on the amount of time they spent socializing

2. ### statistics and probability

​26% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of

3. ### Statistics

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 4.0 minutes and a standard deviation of 1 minute. Find the probability that a randomly

4. ### Microeconomics

1.You plan a major adventure trip for the summer. You won’t be able to take your usual summer job that pays \$6,000, and you won’t be able to live at home for free. The cost of your travel on the trip will be \$3,000, film and