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1.) A binomial experiment with probability of success = p 0.84 and = n 11 trials is conducted. What is theprobabilitythat the experiment results in

1.) A binomial experiment with probability of success

=p0.84

and

=n11

trials is conducted. What is theprobabilitythat the experiment results in fewer than

9

successes?

Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

2.)A rainstorm in Portland, Oregon, has wiped out the electricity in about

5%

of the households in the city. A management team in Portland has a big meeting tomorrow, and all

6

members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household? Assume that their locations are spread out so that loss of electricity is independent among their households.

Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

3.) There are

36,000

adults living in Palm City. In examining attitudes toward the news, a research group asked a random sampleof Palm City adults "What is your main source of news?" The results are shown below.

Main Source of News Number of Adults
Newspapers 65
Internet 87
Television 131
Radio 25
Other 45

Based on the sample, predict the number of adults in Palm City whose main source of news is television or the internet. Round your answer to the nearest whole number. Do not round any intermediate calculations.

4.) Let

X

be a random variable with the following probability distribution.

Value

x

of

X

P=Xx
0 0.15
10 0.10
20 0.05
30 0.35
40 0.05
50 0.30

Complete the following. (If necessary, consult a list of formulas.)

(a) Find the expectation

EX

of

X

.

=EX

(b) Find the variance Var

X

of

X

.

=VarX

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