schedule for November contains 12 games. Let that a certain hockey team will win

Question

schedule for November contains 12 games. Let that a certain hockey team will win any given game is 0.3821 based on their 13 year win - number of games won in November history of 397 wins out of 1039 games played (as ofcertain date). number of wins for the month of November? (Round your answer to two decimal places.) Section 4.1 A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer chat the student passes the quiz with a grade of at least 80% of the questions correct. (Round your answer to three decimal places.) 0.377 section 4.1 that do not O-1 points ow at The use the folil as their main weapon.

Explanation / Answer

1) p = 0.3821

n = 12

Expected value, E(X) = n * p = 12 * 0.3821 = 4.59

2) P(correct answer) = 1/2 = 0.5

n = 10

80% = 0.8 *10 = 8

P(X > 8) = P(X = 8) + P(X = 9) + P(X = 10)

= 10C8 * 0.58 * 0.52 + 10C9 * 0.59 * 0.51 + 10C10 * 0.510 * 0.50

= 0.055

3) P(X = 2) = 1 - [P(X =0) + P(X = 1) + P(X = 3)] = 1 - [0.1 + 0.2 + 0.4] = 0.3

X P(X = x) x*P(X = x)

0 0.1 0

1 0.2 0.2

2 0.3 0.6

3 0.4 1.2

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