What is the expected value of this variable, statistics homework help

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What is the expected value of this variable, statistics homework help

1.  Read the webpage, https://en.wikipedia.org/wiki/Binomial_distribution , down to the section, Mode and Median.  Read thoroughly the example about the biased coin that comes up heads with probability of 0.3.  This variable can be described as, X~Bi (n=6, p=0.3).  Use this example to answer the following questions.

a.  What is the expected value of this variable? 

b.  What is the expected number of heads if this coin is tossed 6 times?  Same answer as in part 2.a. but in different words.

c.  What is the probability that the number of heads out of 6 tosses of this unfair coin is less than 2?

d.  What is the probability that the number of heads out of 6 tosses of this unfair coin is more than 2?

e.  What is the probability that the number of heads out of 6 tosses of this unfair coin is at least 2?

f.  What is the probability that the number of heads out of 6 tosses of this unfair coin is at most 2?

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