Question 1)
A random sample of 15 items is selected from a lot in which the proportion of defective items is 10%. Find the probability that the number of defective items in the sample is less than or equal to 3.
A.
Let X be the cost per gallon of gas at a pump, and X is normally distributed with mean 2.3 and standard deviation 0.2. If you fill up at a random gas pump, what is the probability that the gas is between $2.49 and $2.73?
B.
In a large section of a statistics class, the grades on the final were normally distributed with a mean of 80 and a standard deviation of 9. What is the lowest score that would still place a student in the top 20% of the scores?
C.
Approximately 63% of adults in the U.S. receive fewer than 4 phone calls a day. In a random sample of 12 adults, what is the probability that exactly 5 adults receive fewer than 4 calls a day
D.
The probability of winning a certain video game is 0.30. Jeff plays the game 20 times. Let X denote the number of times Jeff wins.
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