Hey, if you could help me out with these two questions that would be great!!!

1. X has a binomial distribution. P = 0.4 and there are 35 trials.

a) Find P(X=20)

b) Find P(X>=20)

c) Find the variance of X

d) Find the expected value of X

e) Approximate P(X>=20) using the normal distribution..

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2.You have applied for an export grant from the Federal Government. There are two types of grants: A and B. You estimate that you have a 70% chance of receiving a type A grant and a 40% chance of receive a type B grant. If you receive a type A grant, there is a 90% chance of receiving a type B grant.

a) What is the likelihood of receiving a type A AND type B grant?

b) What is the likelihood of receiving at least one grant?

c) If you receive a type B grant, what is the probability of receiving a type A grant?

Thanks