Calculate the probability for each of the following events A

Calculate the probability for each of the following events: A standard normally distributed variable is larger than 3. A normally distributed variable with mean 35 and standard deviation 6 is larger than 42. Getting 10 out of 10 successes in a binomial distribution with probability 0.8. X

Solution

a) P(Z>3)= 0.0000

b) P(X>42) = P(Z>7/6)

= 0.5-0.3849

= 0.1151

c) P(X=10 in 10 trials of binomial)

= 0.8¹⁰

=0.1074

d) P(X<0.9) = 0.9