Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a normal distribution with $\sigma = \$3.00$. If 20 percent of all part- time seasonal employees make more than $13.16 an hour, what is the average hourly pay rate at this mountain?

Blockchain is a technology that ________.

A. is in the early stages of being developed

B. was a failed attempt to change the way we do business

C. refers to an application developed strictly for the real estate business

D. involves the use of a single shared ledger between the many parties that may be involved in a transaction.

Blockchain refers to a technology that:

• A. uses existing banking systems to transfer funds.
• B. uses a distributed ledger system of transactions.
• C. relies on peer-to-peer networks.
• D. uses a centralized data store in the cloud.
• E relies on the Internet to provide secure transactions.

The glue that binds blocks in a blockchain consist of what? a. Time stamps
b. Sequential numbering
c. Regulatory approval
d. Hashes
e. Both a. and d.

What drawbacks or potentials risks do you see in blockchain technology?

What is blockchain technology in supply chain management?

Daily output of Marathon’s Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.

(a) What is the probability of producing at least 232,000 barrels?

(b) Between 232,000 and 239,000 barrels?

(c) Less than 239,000 barrels?

(d) Less than 245,000 barrels?

(e) More than 225,000 barrels?

Among live deliveries, the probability of a twin birth is .02.

(a) In 2,000 live deliveries, what is the probability of at least 50 twin births?

(b) Fewer than 35?

A tree farm in the year 2010 has 10,000 Douglas fir trees on its property. Each year thereafter 10 percent of the fir trees are harvested and 750 new fir saplings are then planted in their place.

Write a recursive sequence that gives the current number $t_n$ of fir trees on the farm in the year n, with n=0 corresponding to 2010.

Use a graphing utility to find the number of fir trees as time passes infinitely. Explain your result.

Find the associated z-score for each of the following standard normal areas.

Lowest 6 percent.

Find the associated z-score for each of the following standard normal areas.

a. Lowest 6 percent b. Highest 40 percent c. Lowest 7 percent

Find the associated z-score for each of the following standard normal areas.

Lowest 7 percent.

Bob's exam score was $2.17$ standard deviations above the mean. The exam was taken by $200$ students. Assuming a normal distribution, how many scores were higher than Bob's?

Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,500 pounds to 4,500 pounds.

(a) What is the mean weight of a randomly chosen vehicle?

(b) The standard deviation?

(c) What is the probability that a vehicle will weigh less than 3,000 pounds?

(d) More than 4,000 pounds? (e) Between 3,000 and 4,000 pounds?