Solution to Problem 5
Each of the probability statements involve the binomial distribution.
Use the continuity correction to write a probability statement that uses the
normal distribution.
- The probability that the more than 29 of the
students woke up before 8:00 AM.
In symbols this is P(r > 29). The
continuity correction gives P(x > 28.5).
- The probability that at least 22 of the cars
are hybrid vehicles.
In symbols this is P(r >
22). The continuity correction gives P(x >
21.5).
- The probability that fewer than 41 of
the customers returned the next week.
In symbols this is P(r < 41). The
continuity correction gives P(x < 40.5).
- The probability that at most 17 of the
women wear makeup.
In symbols this is P(r <
17). The continuity correction gives P(x <
17.5).
- The probability that between 14 and
26 of the cats fall on their feet.
In symbols this is P(14 < r
< 26). The continuity correction
gives P(13.5 < x < 16.5).
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