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Monday 4 March 2013

Statistics In Mathematics

Math 234 - HW#2Name _____________________ 10:30 12:30 12:00T-TH
You must show your answers clearly and drill proper notation. I will not accept practice or answers squeezed in the margin
1. Many companies test prospective employees for dose use. Suppose a company uses a test that is 98% accurate that is it correctly identifies an applicant as a drug user or nonuser with prospect .98. The test is performed on each applicant twice and the outcomes are independent.
a) Use a tree plot to sketch this two stage experiment.
b) Find the probability that a nonuser fails both tests.
c) Find the probability that a user fails at least one test.
d) Find the probability that a user passes both tests.

2. Two representatives are haphazardly selected from a heed of six sight, 4 male, 2 womanishs.let the random variable X represent the number of females selected.
a)Construct a probability distribution plug-in for the random variable X.
b)What is the probability that there will be at least one female representative?
c) What is the probability that there will at most one female representative?
d) Calculate the mean and amount deviation for the random variable X.
3.

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Suppose a basketball player, Player A, do 80% of her free confine attempts last season and that she continues to injure free throws at the same rate. Assume that free throw attempts are independent. Let the random variable X be the number of free throws that player A makes in her close 15 attempts.
a) What is the distribution of X?
b) Find the mean and standard deviation of X.
c) Find the probability that player A makes merely 10 free throws.
d) Find the probability that player A makes at least 8 free throws.

4. Suppose it is discover that, on average, 35 people are admitted to the intensive billing unit of a token hospital every week. Let the random variable X represent the number of people admitted to this intensive care unit on any particular day.
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