Question

question 25 (5 points)
express the indicated degree of likelihood as a probability value.
\your mother could not have died two years before you were born.\
0.5
1
0.25
0
question 26 (5 points)
if you are told that a randomly selected mystery person was born in the 1990s, what
is the probability of guessing his/her exact birth date (including year)?
2.737×10 - 3
2.738×10 - 3
2.738×10 - 4
2.740×10 - 4

Explanation:

Question 25

Step1: Analyze the event

The event “Your mother could not have died two years before you were born” is an impossible event.

Step2: Recall probability rules

For an impossible event, the probability \(P = 0\).

Question 26

Step1: Calculate the number of days in the 1990s

The 1990s have 10 years. The number of days in a non - leap year is 365 and in a leap year is 366. The leap years in the 1990s are 1992, 1996. So the total number of days \(n=365\times8 + 366\times2=2920+732 = 3652\)

Step2: Calculate the probability

The probability of guessing one exact day (including year) out of 3652 days is \(P=\frac{1}{3652}\approx2.738\times10^{- 4}\)

Answer:

Question 25: \(0\)
Question 26: \(2.738\times10^{-4}\)