Answer:
Step-by-step explanation:
Well, since it was not given the interval let's use the interval [0,5] with n=10
So now, for the Trapezoidal Rule to approximate the area enclosed by the Integral of:
Plugging in:
Now the same area according to Simpson rule:
Answer:
The mean of the number of restaurants that failed within a year is 28.38 and the standard deviation is 4.02.
Step-by-step explanation:
For each restaurant, there are only two possible outcomes. Either it fails during the first year, or it does not. The probability of a restaurant failling during the first year is independent of other restaurants. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In the city where she lives, the probability that an independent restaurant will fail in the first year is 43 %.
This means that
66 independent restaurants
This means that
Mean:
Standard deviation:
The mean of the number of restaurants that failed within a year is 28.38 and the standard deviation is 4.02.