On their first date, Kelly asks Mike to guess the date of her birth, not includi
ID: 3371662 • Letter: O
Question
On their first date, Kelly asks Mike to guess the date of her birth, not including the year a) The probability that Make will guess correctly, ignoring leap years, is(Write your answer as a fraction, or as a decimal rounded to the nearest thousandth) b) Would it be unusual for him to guess correctly on his first try? (Consider an event to be "unusual if its probability is less than or equal to 0.05) O It is unusual O It is not unusual. e) If you were Kelly, and Mike did guess correctly on his first try, would you believe his claim that he made a lucky guess, or would you be convinced that he already knew when you were born? He likely already knew her birthday O He likely guessed correctly (Wnte d) Suppose Kelly then asked Mike to guess her age, and Mike guessed too high by 15 year your answer as a fraction, or as a decimal rounded to the nearest thousandth) s The probability that Mike and Kelly will have a second date isExplanation / Answer
Part (a)
1/365 = 0.003 ANSWER
Explanation:
There are 365 days in a year (non-leap year) and the birthday could fall on any of these 365 days. So, chances of guessing is I in 365.
Part (b)
It is unusual. ANSWER
Explanation:
As explained under (a), probability of guessing is 0.003 which is much less than the stipulated 0.05.
Part (c)
He likely already knew her birthday. ANSWER
Explanation:
As explained under (a), probability of guessing is 0.003 which is very low. So, the chances of guessing correctly is extremely low. Or in other words, a correct guess would imply prior knowledge.
Part (d)
Non- statistically, and purely on common sense approach, probability of a second dating is remote since a guess as wide away as 15 years in the age of a woman is very likely unacceptable to any woman. ANSWER
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