Four in ten Canadians who travel by car look for gas and food outlets that are close to or visible from the highway. Suppose a random sample of n = 20 Canadians who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas and food outlets that are close to or visible from the highway.
a. What are the mean and variance of x?
b. Calculate the interval 
What values of the binomial random variable x fall into this interval?
c. Find 
How does this compare with the fraction in the interval 
for any distribution? For mound-shaped distributions?
Definitions:
School Grades
Evaluative scores or letters assigned to students' work or performance in educational settings as a measure of their achievement.
Intellectual Disability
A term used to describe a significant limitation in intellectual functioning and adaptive behavior, affecting learning and daily living skills.
Autism Spectrum Disorder
A developmental disorder characterized by difficulties in social interaction and communication, along with restricted and repetitive patterns of behavior and interest.
Consistent Results
Outcomes that are reliably reproducible under the same conditions, demonstrating reliability in scientific experiments or data collection.
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