Find the indicated probability. Round to three decimal places. A test consists o

Question

Find the indicated probability. Round to three decimal places. A test consists of 10 true/false questions. To pass the test a student must answer at least 9 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? A) 0.999 B) 0.01 C) 0.011 D) 0.001 Find the indicated probability. The brand name of a certain chain of coffee shops has a 57% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 10 Coffleton residents. Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name. A) 0.140 B) 0.0604 C) 0.000667 D) 0.106

Explanation / Answer

Solution:

24) B) 0.010
Binomial Problem with n = 10 and p = 1/2

P(9 x 10) = 1 - P(0 x 8) = 1 - binomcdf(10,0.5,8)
= 1-0.989258
= 0.010742
25) A) 0.140
Let be X : Coffleton residents recognize the brand name
n = 10, p = 0.57, q = 0.43

P(X = 4) = 10C4*(0.57^4)*(0.43^6) = 0.14012

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