What is the probability of getting a cup weighting

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The mean weight of frozen yogurt cups in an ice cream parlor is 8 oz. Suppose the weight of each cup served is normally distributed with standard deviation 0.5 oz, independently of others.

(a) What is the probability of getting a cup weighting more than 8.64 oz?

(b) What is the probability of getting a cup weighting more than 8.64 oz three days in a row?

5. The resistence for resistors of a certain type is a random variable X having the normal distribution with mean 9 ohms and standard deviation 0.4 ohms. A resistor is acceptable if its resistance is between 8.6 and 9.8 ohms.

(a) What is the probability that a randomly chosen resistor is acceptable? (Hint: Use z-table or use R.)

(b) What is the probability that out of four randomly and independently selected resistors, two are acceptable? (Hint: If Y is the number of acceptable resistors among the four, what is the distribution of Y?)

Reference no: EM132394262

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