5. 11 points llcwskylntrosat1 4.HW.c89gereral. y Notes + Ask Your The probabilit

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5. 11 points llcwskylntrosat1 4.HW.c89gereral. y Notes + Ask Your The probability that a certain hockey team will win any given game is 0.3849 based on their 13 year win history of 398 wins out of 1034 games played (as of a certain date). Their schedule for November contains 12 games. Let x numher of games won in November. What is the expected number of wins for the month af November? (Round your answer to two decimal places.) wins Additional Materials Section 4.1 Submit Answer Save Progress Practice Another Version 6. 1 points lcwskylntroStat1 4.HW.092 My Notes Ask Your A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 80% of the questions correct. (Round your answer to three decimal places.) Additional Materials section 4.1

Explanation / Answer

5)
n =12 , p = 0.3849

Expected number of wins = n p = 12 * 0.3849
= 4.62

6)

Probability of number of questions correctly solved = 0.5
Total questions =10
probability of student passes at least 80% = 0.8*10 = 8
By binomial distribution,
P(X = r) = nCr * p^r * q^( n -r)

P(X >= 8) = P(X = 8) + P(X = 9) + P(X = 10)
= 10C8 * 0.5^8 * 0.5^2 + 10C9 * 0.5^9 * 0.5^1 +10C10 * 0.5^10 * 0.5^0
= 0.0107

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