A particular lake is known to be one of the best places to catch a certain type of fish. In this table,x= numberof fish caught in a6-hourperiod. The percentage data are the percentages of fishermen who caughtxfishin a6-hourperiod while fishing from shore.

x 0 1 2 3 4 or more

% 45% 35 % 13% 6% 1%

(a) Convert the percentages to probabilities and make a histogram of the probability distribution.

(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 three decimal places.)

=fish