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##### [solution] » 1.Sixty people are recruited to participate in a Pepsi versus

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1.Sixty people are recruited to participate in a Pepsi versus**More:**

**1.Sixty people are recruited to participate in a Pepsi versus Coke taste test trial. The trial participants will be asked to taste a sample of both Pepsi and Coke (in a random order) and then to indicate which sample they prefer.**

**Prior to performing this taste test trial, the researcher claims that 28% of people will prefer Pepsi to Coke. Based on this claim, determine the probability (to 4 decimal places) that:**

**1. fewer than twenty-five participants prefer Pepsi**

**2. at least 22 people but no more than 30 participants preferred Pepsi**

**2.**

**The probability a car is serviced under warranty is known to be 36% and the probability a car being a fully imported model is 25%. The probability a car is serviced under warranty and is a fully imported model is 10%. What is the probability a car is imported or serviced under warranty? (2 decimal places)**

**3.**

**To ascertain the effectiveness of a new, quicker, and simpler test for identifying diabetes, a study was undertaken involving 883 participants. With this test, a positive result indicates the presence of diabetes. A negative result indicates the absence of diabetes. Data collected to assess the effectiveness of this new test revealed:**

**318 of the participants knew they had diabetes, with the other participants definitely not having diabetes.**- 21 participants knew they had diabetes and produced a negative test result.
- 522 participants produced a negative test result.

**A participant from the study is chosen at random. What is the probability the participant does not actually have diabetes given the test result is positive? (3 decimal places)**

**4.**

**The industry standards suggest that 23% of new vehicles require warranty service within the first year. A dealer sold 24 Nissans yesterday. What is the probability that 3 of these vehicles require warranty service? (3 decimal places)**

**5.**

**Consider two events X and Y that have marginal probabilities of 0.69 and 0.52 respectively. Their joint probability is 0.46. Calculate the probability that event X occurs if Y has occurred. (3 decimal places)**

**6.**

The number showing on the upper face of a fair six-sided dice is observed when rolled. Consider events A and B defined as:

- A = the number observed is at most 2
- B = the number observed is an even number

**Find****1. P(A') (3 decimal places)****2. P(A or B)(3 decimal places)**

1.Probability (to 4 decimal places) that:

1.Probability (to 4 decimal places) that:

1. fewer than twenty-five participants prefer Pepsi

n=60 p=0.28 q=1-0.28=0.72

1-(60C25*0.2825*0.7235)=0.9920

2. at least 22 people but no more than 30...

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This question was answered on: * Feb 21, 2020 *

* * Solution~000694476.zip (18.37 KB)

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