# Stats

3. Suppose you work for the Ford Motor Company and must establish regulations concerning the maximum number of people who can ride in a minivan. Ford tells you that the total number of people in a minivan follows a normal distribution with a mean of 6 and a standard deviation of 2.
a. What is the probability that the total number of people in the van is between 2 and 4 people?
b. What is the probability that the total number of people in the van is between 5 and 7 people?
c. What is the probability that the total number of people in the van is greater than 10 people?

1. 👍 0
2. 👎 0
3. 👁 193
1. Here the distribution ~N(6,2²), i.e. mean=6, variance = 2²=4.

Standardize the given variable to Z and look up probabilities from the normal distribution table.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### World history

Which accurately describes the East India Company and its purpose? A.The East India Company was chartered by royal decree, and its purpose was to promote trade with India and China and force the natives to learn English. B . The

asked by Aubrea colbert on September 19, 2019
2. ### Physics

A mechanic uses a chain and block to lift a 875-kg engine 4.00 m to the top of the garage. The downward force in the chain over the 4.00 m distance is 5.00 x 10^4 N. A) Calculate the work done in raising the motor B) How much

asked by Holly on January 16, 2014
3. ### Mathematics

A construction company will be fined each day of delay in construction for a commercial building. The penalty will be Php5,000 for the first day and will increase by Php1000 for each following day. Based on its budget, the company

asked by Keita on August 7, 2020
4. ### history

Which accurately describes the East India Company and its purpose? The East India Company was a nonprofit organization, and its purpose was to spread Christianity in Southern India. The East India Company was a private company,

asked by michele on September 19, 2019
1. ### physics

The electrical motor runs on a D.C source of emf E and internal resistance r. Show that power output of the motor is max where current drawn by the motor is E/2r.

asked by Edwin on March 16, 2010
2. ### physics

An elevator (mass 4125 kg) is to be designed so that the maximum acceleration is 0.0400g. What is the maximum force the motor should exert on the supporting cable? What is the minimum force the motor should exert on the supporting

asked by DJ on October 8, 2009
3. ### Finance

Winnebagel Corp. currently sells 33,000 motor homes per year at \$49,500 each, and 13,200 luxury motor coaches per year at \$93,500 each. The company wants to introduce a new portable camper to fill out its product line; it hopes to

asked by William on February 4, 2012
4. ### Social Impact of Technology

Regarding the case of the Ford Pinto, which statement is TRUE? A. About half of the Pinto prototypes passed the 20 mph test. B. Ralph Nader demonized the Ford Motor Company in his book Unsafe at any Speed. C. The decision to go

asked by Angela on November 5, 2016
1. ### Physics

A 120-V motor has mechanical power output of 2.00 hp. It is 82.0% efficient in converting power that it takes in by electrical transmission into mechanical power. (a) Find the current in the motor (b) Find the energy delivered to

asked by Jessi on October 18, 2009
2. ### physics

The efficiency of an electric motor is 20 %. When lifting a body 500 J of energy are wasted. What is the useful work done by the motor? please and thank u!

asked by flirtyme on January 19, 2018
3. ### U.S History

What was the purpose of the Dutch East Indian Company? It was a ship-building company in India that was financed and run by the Dutch government. It was a multinational corporation used to establish colonies and trade in foreign

asked by Britt on October 2, 2018
4. ### History

What was the purpose of the Dutch East Indian Company? it was the worlds largest shipping company in the 16th century and was located in Holland it was a ship-building company in India that was financed and run by the Dutch

asked by malia on October 24, 2017