Q1) In the most recent election, 70% of all eligible college students voted. If a random sample of 14 students were surveyed, (use megastat) (30 points)

```
Find the probability that exactly 7 of them voted in the election?
Find the probability that at least 10 of them voted in the election?
Find the probability that fewer than 6 of them voted in the election?
```

Q2) At an ocean side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water that is discharged back into the ocean. The amount that the water temperature is raised has a uniform distribution over the interval from 10° to 30° C. (25 points)

Write the pdf (f (x))

```
What is the probability that the temperature increase will be less than 20° C?
What is the probability that the temperature increase will be between 20° C and 〖25〗^(0 ) C?
```

Q3) Suppose that the times required for a cable company to fix cable problems in its customers’ homes are normally distributed with mean 40 minutes and standard deviation 10 minutes. (use megastat) (45 points)

What is the probability that a randomly selected cable repair visit will take at least 35 minutes?

```
What is the probability that a randomly selected cable repair visit will take at most 60 minutes?
What is the probability that a randomly selected cable repair visit will take between 35 minutes and 55 minutes?
10% of the cable repair visits will require more than what time?
What is the 50th percentile of the time required to fix the cable problem?
```

Sample Solution