A company operating in Bangladesh can be in one of the three legal states: enlisted,

going through the enlistment process, and not enlisted. You have data on 160 companies among which 112 were enlisted, 30 were going through the enlistment process, and 18 were not enlisted. If six companies are selected at random,

a. what is the probability that there will be two companies in each of the three categories?

b. Do you think correlation and regression are same? Explain very briefly.

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 41 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 5,000 batteries, and 1% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will may be rejected? 

the company will accept what %?

The company will reject what %? 

In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 162. What is the probability that the sample proportion will be at least 2 percent more than the population proportion?

Note: You should carefully round any z-values you calculate to at least 4 decimal places to match wamap’s approach and calculations.

Answer =  (Enter your answer as a number accurate to 4 decimal places.)

Suppose the daily electricity use values at a manufacturing plant have an unknown distribution with mean 430kWh and standard deviation 24kWh. A sample of size n=120 is randomly taken from the population and the sum is taken. What is the probability that the resulting sum is between 51,700kWh and 51,800kWh?

An experiment consists of tossing an unfair coin (51% chance of landing on heads) a specified number of times and recording the outcomes.
a.
What is the probability that the first head will occur on the second trial? (Use 4 decimal places.)

b.
Does this probability change if we toss the coin three times? What if we toss the coin four times?
The probability changes for both three and four tosses.
The probability changes if we toss the coin four times, but does not change if we toss the coin three times.
The probability does not change for either three or four tosses.
The probability changes if we toss the coin three times, but does not change if we toss the coin four times.

c.
What probability distribution model do we use to compute these probabilities?
normal
geometric
binomial
poisson

d.
What is the probability that the first head will occur on the fourth trial? after the fourth trial? (Use 4 decimal places.)

P(4) =

P(n > 4) =

1. What is the probability that the project will be completed within 47 weeks?
2. What completion time should the company quote in its bid for the project if it desires a 75% certainty?