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What is the probability that the rod you chose will be

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Reference no: EM132423025

Question 1: Suppose A and B are two events with probabilities:

P(Ac )=.70,P(B)=.65,P(A∪B)=.80.

Find the following:

a) P(A∩B).

b) P(A).

c) P(Bc).

Question 2: A company manufactures a large number of rods. The lengths of the rods are normally distributed with a mean length of 4.4 inches and a standard deviation of .5 inches. If you choose a rod at random, what is the probability that the rod you chose will be:

a) Less than 4.5 inches?

- Click here to enter answer -

b) Greater than 4.0 inches?

- Click here to enter answer -

c) Between 3.8 inches and 4.7 inches?

Question 3: Suppose that in a very large city 9.8 % of the people have more than two jobs. Suppose that you take a random sample of 70 people in that city, what is the probability that 9 % or more of the 70 have more than two jobs?

Question 4: A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 45 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 500 minutes with a standard deviation of 105 minutes. Find the 80% confidence interval for the mean time that the drug will take to reduce all fevers for all people.

Reference no: EM132423025

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