1). There is a normally distributed random variable Y with true population mean 100 and true variance 64.

Y N(,²)

=100, ²=64

P=probability

Find all the probabilities and show the calculations

1). P(Y = 100)?

2). P(Y < 100)?

3). P(Y > 100)?

4). P( Y 100)?

5). P(Y > 115)?

6). P(Y < 90)?

7). P(Y > 115 U Y < 90)? 8). P(Y < 115 Y > 90)?

p=P(Y < 90), and there is a variable X that was distributed with 10 trials, according to a binomial distribution, suppose

X Binom(n=10, p=P(Y < 90))

9). P(X < 1)?

10). P(X=1)?

11). P(X 1)?