MATH 225N WEEK 5 LAB ASSIGNMENT 2026
FULL MARKS SUBMISSION FORMAT
◉ The total snowfall per year in Laytonville is normally distributed
with mean 99 inches and standard deviation 14 inches. Based on the
Empirical Rule, what is the probability that in a randomly selected
year, the snowfall was less than 127 inches? Enter your answer as a
percent rounded to 2 decimal places if necessary. Answer: 97.5%
◉ A random sample of math majors taking an introductory statistics
course were surveyed after completing the final exam. They were
asked, "How many times did you review your final exam before
handing it in to the professor?" The results are displayed in a
probability density function for the random variable X, the number
of times students reviewed their exam before handing it in. Find the
standard deviation of X.
Round the final answer to two decimal places. Answer: 2.64
◉ Identify the parameter p in the following binomial distribution
scenario. The probability of buying a movie ticket with a popcorn
coupon is 0.754, and the probability of buying a movie ticket without
a popcorn coupon is 0.246. If you buy 17 movie tickets, we want to
know the probability that more than 11 of the tickets have popcorn
coupons. (Consider tickets with popcorn coupons as successes in the
binomial distribution.) Answer: 0.754
FULL MARKS SUBMISSION FORMAT
◉ The total snowfall per year in Laytonville is normally distributed
with mean 99 inches and standard deviation 14 inches. Based on the
Empirical Rule, what is the probability that in a randomly selected
year, the snowfall was less than 127 inches? Enter your answer as a
percent rounded to 2 decimal places if necessary. Answer: 97.5%
◉ A random sample of math majors taking an introductory statistics
course were surveyed after completing the final exam. They were
asked, "How many times did you review your final exam before
handing it in to the professor?" The results are displayed in a
probability density function for the random variable X, the number
of times students reviewed their exam before handing it in. Find the
standard deviation of X.
Round the final answer to two decimal places. Answer: 2.64
◉ Identify the parameter p in the following binomial distribution
scenario. The probability of buying a movie ticket with a popcorn
coupon is 0.754, and the probability of buying a movie ticket without
a popcorn coupon is 0.246. If you buy 17 movie tickets, we want to
know the probability that more than 11 of the tickets have popcorn
coupons. (Consider tickets with popcorn coupons as successes in the
binomial distribution.) Answer: 0.754
