Movie stars and U.S. presidents have fished Pyramid Lake. It is one of the best
ID: 2961281 • Letter: M
Question
Movie stars and U.S. presidents have fished Pyramid Lake. It is one of the best places in the lower 48 states to catch trophy cutthroat trout. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.
(b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.)
(c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.)
(d) Compute ?, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Round your answer to two decimal places.)
? = fish
(e) Compute ?, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Round your answer to two decimal places.)
? = fish
Explanation / Answer
b) P = 1- .44 = .56
c) P(two or more ) = .56-.37 = .19
d) <x> = 0*.44 + 1*.37 + 2*.13 +3*0.05 + 4*0.01=0.82
e)<x^2)>=0^2*.44 + 1^2*.37 + 2^2*.13 +3^2*0.05 + 4^2*0.01=1.5
stdev = sqrt( 1.5 - 0.82^2)=0.910
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