PLEASE SHOW STEPS A test consists of 10 truefalse questions

A test consists of 10 true-false questions. Suppose a denot (a) Give the expected value and variance of X (b) 4. A test c ing a coin. Let X e the number of correctly answered questions. Find the probability the student will answer correctly exactly 5 of the questions Find the probability the student will answer correctly at most 5 of the questions. Use the CDF to answer this question. e (c) (d) Let Y = 10-X. In words, what does Y represent? (e) Use the CDF to find P(2 s Y s5).

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