Question

in a sample of 800 people, 32 said their favorite fruit was an apple. determine the empirical probalility that the persons favorite fruit is an apple. a 1/25 b 32/800 c 0.04 d all of the above question 2 bill estimates that 20 people will attend the seminar if it does not rain and 12 people will attend it indicates a 40% chance it will not rain and a 60% change it will rain on the day of the seminar. det people who will attend the seminar. a 12.8 b 14.6

Explanation:

Step1: Calculate the empirical probability

The formula for empirical probability is \(P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (people whose favorite fruit is apple) is \(32\), and the total number of outcomes (total number of people in the sample) is \(800\). So, \(P=\frac{32}{800}\).

Step2: Simplify the fraction

Simplify \(\frac{32}{800}\). Divide both the numerator and the denominator by \(32\). \(\frac{32\div32}{800\div32}=\frac{1}{25}\).

Step3: Convert the fraction to decimal

Convert \(\frac{1}{25}\) to a decimal. Using the formula \(a\div b\) (where \(a = 1\) and \(b=25\)), \(1\div25 = 0.04\).

Answer:

D. All of the above