Case AnalysisThe Ford Pinto case is a well-known case that is often discussed in the context of business ethics. To summarize, Ford's design of the Pinto's fuel tank was defective, causing fires if th

Case AnalysisThe Ford Pinto case is a well-known case that is often discussed in the context of business ethics. To summarize, Ford's design of the Pinto's fuel tank was defective, causing fires if th 1 CSTS-SEU-KSA

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Statistics (STAT-101)

Assignment-2 (Weeks: 5-7)

1st Semester, 1439-1440 (2018-2019)

Due date: 20/10/2018 (Time: 10:30 PM)


Student’s Name

Student’s ID

Section/CRN

Location

Marking Scheme

Question

Score

Obtained Score

Q-1

3

Q-2

3

Q-3

3

Q-4

3

Q-5

3

Q-6

3

Total

18

Note: You are required to fill your full name, ID and CRN.

Solve the following questions

  1. One bag contains four types of coins given below:

• Two $1

• Three $5

• One $10

• Three $20

  1. Construct a probability distribution table for the random variable “type of a randomly selected bill”.

  2. Calculate the variance.



















  1. One Market Research company determined that 13% of college students work part-time during the academic year. For a random sample of 5 students, what is the probability that

at least 3 students work part-time?








3. Find 

        a)

b)  

c)











  1. Cream cheese is sold in cans that have a net weight of 8 ounces. The weights are normally distributed with a mean of 8.025 ounces and a standard deviation of 0.125 ounces. You take a sample of 36 cans. Compute the probability that the sample would have a mean 7.995 ounces or more.











  1. Suppose you survey that a random sample of 150 people from one hospital has been given cholesterol tests, and 60 of these people had levels over the “safe” count of 200. Construct a 95% confidence interval for the population proportion of people in test with cholesterol levels over 200.










  1. This is observation from previous years about the impact of students working while they are enrolled in classes, due to students too much work, they are spending less time on their classes. First, the observer need to find out, on average, how many hours a week students are working. They know from previous studies that the standard deviation of this variable is about 5 hours. A survey of 200 students provides a sample mean of 7.10 hours worked. What is a 95% confidence interval based on this sample?