N = 4.2m
Sorry for my bad writing but this is the explanation and answer.
23. Samuel drives his car at a constant speed. If he travels 25 km in 30 minutes, how long will
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Recall the double/half angle formulas:
We're given , and since
is between π/2 and π, we expect
to be negative. So from the Pythagorean identity, we find
Also, we know will fall between π/4 and π/2, so both
and
will be positive. Then we find
and it follows that
Solution: Yes, the random variable y will have a binomial distribution. Because there are two possible outcomes 1. number of days of rain and 2. number of days of no rain.
The parameters of binomial distribution are and
The parameter n is given as the number of day's under consideration.
The parameter p is not given, but it can be estimated by number of days it rained divided by the total number of days under consideration.