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1. A transportation company has two divisions. It is estimated that the chance t

ID: 3228540 • Letter: 1

Question

1. A transportation company has two divisions. It is estimated that the chance that division A would go on strike is 30% while the chance that division B will go on strike is 20%. If A goes on strike, management believes that there is a 40% chance B is go on strike. Use Venn diagrams to determine the probability there will be no strike?

       a. 38%

       b. 45%

       c. 54%

       d. 62%

       e. 70%

The average weight of a can of whipped cream is 16.0 ounces with a standard deviation of 0.2 ounces. Assuming these weights have the normal distribution

2. What is the likelihood that the average of 9 such cans will be less than 16.1 ounces?

       a. 55%

       b. 67%

       c. 74%

       d. 83%

       e. 95%

3.Forty percent of the people who go to the circus buy souvenirs. If a random sample of 100 people is selected, what is the chance that 35% to 50% of people at the next show will buy souvenirs?

a. 80%

b. 81%

c. 82%

d. 83%

e. 84%

4.

The existing product for curing colds takes on average 3.0 days to knock out a cold. A new formulation taken by 36 people cured them within an average of 2.8 days with a standard deviation of 0.6 days.

Does the new formulation cure colds faster than the existing one? (alpha = 0.05)

       a. Yes, the p-value for this test is > 0.05

       b. Yes, the absolute value of the test statistic is > 1.645

       c. Yes, the test statistic is < 1.96

       d. No, the p-value is not < 0.025

       e. No, the test statistic is not < 1.65

Explanation / Answer

P(A)= 0.3

P(B)= 0.2

P(B|A)= 0.4so, P(A and B)= 0.4*0.3= 0.12

P(A or B)= 0.3+0.2-0.12= 0.38

the probability there will be no strike= 1-0.38= 0.62

d. 62%