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.)
μ =  fish

(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.)
σ =  fish

Answer 1

Outcome (x)	Probability P(x)	x*P(x)
0	0.43	0
1	0.35	0.35
2	0.15	0.3
3	0.06	0.18
4 or more	0.01	0.04
		0.87

Outcome (x)	Probability P(x)	x*P(x)	x2*P(x)
0	0.43	0	0
1	0.35	0.35	0.35
2	0.15	0.3	0.6
3	0.06	0.18	0.54
4 or more	0.01	0.04	0.16
		0.87	1.65