Question

# 1. Assume the time a half hour soap opera has an average of 10.4 minutes of...

1. Assume the time a half hour soap opera has an average of 10.4 minutes of commercials. Assume the number of minutes of commercials follows a normal distribution with standard deviation of 2.3 minutes.

a. Find the probability a half hour soap opera has between 10 and 11 minutes of commercials. [Give three decimal places]

b. The lowest 10% of minutes of commercials is at most how long? (In other words: find the maximum minutes for the lowest 10% of number of minutes of commercials.) [Give three decimal places]

2. Assume X follows a normal distribution with mean 5 and standard deviation 2.

a. x=4 is how many standard deviations away from the mean. Give answer with appropriate positive/negative sign.

3. Find the alpha value associated with z subscript alpha = 2.326

4. Assume random variable X follows a normal distribution with mean 50 and standard deviation of 10.

Use the Empirical Rule to find P(30 < X < 60). ***Challenging*** Write as a probability, not as a percentage. [Give three decimal places.]

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