Find the following probabilities for the given random variables: a) X Normal(8, 16); P(X> 11.5) b) X Normal (100, 25); P(96 < X < 108) c) X~ Normal(-10, 5); P(X < -14.6)

12 q5

Let X be a chi-squared random variable with 17 degrees of freedom. What is the probability that X is greater than 10?

In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assume that the probability that a bit is received in error is 0.0001. If 150,000 bits are transmitted, what is the probability that errors are between 10 and 18? How to compute P(X=10)= (150000c10)(0.0001)10(1-0.0001)150000-10