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In: Statistics and Probability

We know the distribution of potato weights arriving to a potato processing factory follows a normal...

We know the distribution of potato weights arriving to a potato processing factory follows a normal distribution with mean of 120 grams and standard deviation of 20

1. What is the probability (proportion) of product expected to be less than 100 grams?

2. What is the probability (proportion) of product expected to be more than 135 grams?

3. What is the probability (proportion) of product expected to be less than 90 grams and more than 150 grams?

3 customers a minute arrive at a toll booth

1. What is the probability that 0 customers will arrive in a minute?

2. What is the probability that 1 customer will arrive in a minute?

3. What is the probability that 2 customers will arrive in a minute?

4. What is the probability that 2 or less customers will arrive in a minute?

5.What is the expected value (mean) and variance?

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