If the random variable X has uniform distribution on the interval [0, a], what is the probability hat the random variable greater than its square, that is P(X > X²)?

The number of people who dine at restaurants in Buffalo is normally distributed with a µ = 30 people and = 3 people. (Report both the z-scores and probability) What is the probability that the mean of 7 restaurants will have between 21 and 32 people dining there?        z1 =              z2 =              p(21 > M  > 32) =    What is the probability that the mean of 13 restaurants will have less than 21 people dining there?        z =         p(M < 21)=   Is the p=0 when the z score is extreme like -10 or 10?

The amounts of sugar in a serving of children's breakfast cereals is normally distributed with a mean of 8.4 grams and a standard deviation of 2.1 grams.   For a sample of 15 children's breakfast cereals, what is the probability that  the sample mean amount of sugar in a serving for the 15 cereals will be at least than 10 grams?   Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ___________   Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(x¯<10 grams) =  ___________

Let X ~ Uniform(a, b). Find Expected value EX.