(1)Finn’s fish store has 5 tanks of goldfish; each tank holds 40 fish. He collects and

inspects 5 fish from each tank and finds that 4 fish have fin rot. Find the estimated numb

er of

goldfish in the store that have fin rot.

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(2) The mean weight of baby deer at a local zoo is 15.8 with a standard deviation of 2.4 lbs

. A researcher records the weight of the following five

baby deer; 14.5, 16.8, 15, 16.4 and 15.9 lbs.

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A) Find x

B) Find s

(3) In a random sample of 74 homeowners in a city, 22

homeowners said they would

support a ban on nonnatural lawn fertilizers to

protect fish in the local waterways. The sampling

method had a margin of error of

±3.1%.

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A) Find the point estimate.

B) Find the lower and upper limi

ts and state the interval.

(4)

A box contains 20 crayons. There are 7 red crayons, 5 yellow crayons, and the rest

are blue crayons. Suppose an experiment involves a person removing 3 crayons from the box.

What is the probability that the person first removes a blue crayon, then a red crayon, and finally a

yellow crayon, with replacement? State your answer as

the exact percentage found.

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(5) Bob earns $ 60,000 a year at an accounting firm. Each year, he receives a raise.

Bob has determined that the probability that he receives a 10% raise is 0.7, the probability that he earns

a 3% raise is 0.2, and the probability that he earns a 2% raise is 0.1.

A competing company has offered Bob

a similar position for $65,000 a year. Bob wonders if he should take the new job or take his chances with his current job.

A) Find the mathematical expectation of the dollar amount of his raise at his current job.

B) Based only on the mathematical expectation found (monetary earnings) , should Bob stay at his

current job or accept the new job? Explain your reasoning

anicya May 4, 2021