Question

A particular lake is known to be one of the best places to catch a certain type of fish. 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.

x 0 1    2 3 4 or more

% 43% 35% 15% 6% 1%

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

(b)Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. 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. (Enter a number. Round your answer to two decimal places.)

(d)Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to two decimal places.)

(e)Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to three decimal places.)

Answer 1

Pyub Answer: - Given that Х 2 3 y or more I. 4316 35). 15). 6./. 1/1 a 0.4 0.3 o 3 yormore b) PC*21) = 1- Px -C) 31-0.43 = 0.57 PLx=1) -0.57 c) PIX22) = 1 - P(x=0) - PIX-1) 1-0.43-0.35 51-0: 78 - ၀ ၊ ၃ niPCX22) = 0.22 d) M = EX.P(a) (0X0.43)+(1X0,35) + (2x0.15) + (3x0.06) 744X0:01) 20+0.35+0:3+0:18+004 lu 0.877

e) G Pgno 2 BLOG!) = Exp.p(ou) O 0.9) 7(180,35) + (4X0-15) + (980-06)+(15* + oool o +0.35 +0.6 +0.54+ 0.16 1.65 Sear? (f(x)ja 17:65 -(0.872 0.945