Multiple Choice 1. Suppose that in the small state of Rhode Island in the USA, t

Question

Multiple Choice

1.

Suppose that in the small state of Rhode Island in the USA, the average number of women suffering severe osteoporosis (due to the consumption of dairy products) in any given month is 12. What is the probability that in just one-quarter of a month there will be eight (8) women found suffering severe osteoporosis?

Select one:

a. 0.2240

b. 0.0001

c. 0.0655

d. 0.0081

2.

The probability of a person dying quickly given that he or she ate flesh from a Mad Cow is 85% Suppose the probability that the person eats flesh from a Mad Cow is 12%, what is the such a person eats the flesh of a Mad Cow and dies quickly?

Select one:

a. 0.1412

b. 0.1020

c. 0.7300

d. 0.9700

3.

There is an 80% probability the existing cable company will sell if an influential director resigns and a 12% probability the existing cable company will sell if the influential director does NOT resign. The new communications company believes there is a 40% chance the director will resign .Given that the cable company has decided to sell, what is the probability the influential director resigned?

Select one:

a. 0.8163

b. 0.9091

c. 0.0909

d. 0.1837

4.

Freshwater fish (from fish farms) has been touted as a good replacement for sea fish as pollutants from factories and sewage plants have deposited chemicals that have severely contaminated sea fish. Now fish from some seas are not safe to eat. Nevertheless, it is discovered that farm fish are not so healthy after all and have high mortality rates. Therefore, the farmers use antibiotics to keep them alive. These antibiotics can have dangerous consequences on unsuspecting humans. Suppose that if farm fish is randomly and regularly tested and it is found that 25% is okay for consumption, 35% have dangerous traces of antibiotics and 40% have deadly untreated diseases. What is the probability of a random sample of 10 such fish was found to have 3 okay, 3 with antibiotics and 4 with the deadly untreated disease?

Select one:

a. 0.0256

b. 0.0429

c. 0.0720

d. 0.0156

Explanation / Answer

1)

from poisson distribution probability that in just one-quarter of a month there will be eight (8) women found suffering severe osteoporosis =P(X=8) =e-12/4*(12/4)8/8! =0.0081

option D

2)

person eats the flesh of a Mad Cow and dies quickly =0.85*0.12 =0.1020

option B

3)probability the influential director resigned given sells =0.4*0.8/(0.4*0.8+0.6*0.12) =0.8163

option A

4)

probability =(10!/(4!*3!*3!))*(0.25)3*(0.35)3*(0.4)4 =0.0720

option C

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