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Data show that 4% of apples produced from an apple orchard are bruised when they

ID: 3369690 • Letter: D

Question

Data show that 4% of apples produced from an apple orchard are bruised when they reach local stores. Compute the probability that at least 2 are bruised in a bushel of 50 apples. a. 0.1425 b. 0.00014 c. 0.0016 d. 0.4005 10. 50 There are suspicions that the rate of lung cancer in a certain area is higher than the national average of 83 cases per 100,000 people. Identify the type ll error for the test. a. The error of failing to reject the claim that the rate is the same in this area as it is nationally when it actually is higher in this area. The error of failing to reject the claim that the rate is the same in this area when it is the same. The error of concluding that the rate of lung cancer is higher than the national rate when it actually is b. c. not. d. The error of failing to reject the claim that the rate is higher when it actually is not.

Explanation / Answer

10) n = 50

p = 0.04

It is a binomial distribution.

P(X > 2) = 1 - P(X < 2)

              = 1 - (P(X = 0) + P(X = 1))

              = 1 - (50C0 * (0.04)^0 * (0.96)^50 + 50C1 * (0.04)^1 * (0.96)^49)

              = 1 - 0.4005

              = 0.5995

b) Option - a is correct.