Question

to Probability In a study of brand recognition, 1172 consumers knew of Honda, and 38 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Honda. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. % prob 0.97 Points possible: Unlimited attempts Score on last attempt: 0. Score in gradebook: 0 License

Thank You for the help .

Answer 1

Q1: people that recognize brand = 1172

total = 1172+38 = 1210

Probability that a randomly selected customer will recognize Honda = 1172/1210*100 = 96.9%

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Q2: Probability that student gets an A = 17/73 = 0.2329

Probability that student was female and got an A = 9/73 = 0.1233

Probability that student was female or got an A = P(A) +P(Female) -P(A and Female)

= 17/73 + 44/73 - 9/73 = 0.7123

Probability that the student was female Given that they got a A, P(Female| A) = P(A and Female)/P(A)

= (9/73) / (17/73) = 0.5294

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Q3: Probability that the student got a 'A' given they are male, P(A| male) = P(A and male) /P(male)

= (8/67)/ (29/67)

= 0.2759

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Q4 Probability of vaccinated, p = 0.52

Probability of not vaccinated, q = 1-0.52 = 0.48

n = 4

Probability that atleast 1 was vaccinated = 1 - P( none was vaccinated)

= 1 - 0.48⁴

= 1 - 0.0531 = 0.9469