Which situation would be represented by a discrete probability distribution?
A) the thickness of an item ----> FALSE. THICKNESS IS A CONTINUOUS VARIABLE BECAUSE IT CAN TAKE ANY REAL VALUE IN A RANGE
B) the lifespan of a fruit fly ----> FALSE. BECAUSE LIFESPAN MAY BE MEASURED IN A CONTINUOS WAY USING, DAYS, HOURS, SECONDS,...
C) the temperature of a solution ---> FALSE, BECAUSE TEMPERATURE IS A REAL NUMBER (CONTINUOS)
D) number of complaints a company receives in a day ---> RIGHT. NUMBER OF COMPLAINTS CAN ONLY BE 1, 2, 3, 4, 5, ... (A WHOLE NUMBER) SO IT IS A DISCRETE VARIABLE.
Marilee takes all the money from her piggy bank and puts it into a
savings account at her local bank. The bank promises an annual interest
rate of 2.5% on the balance, compounded semiannually. How much will she
have after one year if her initial deposit was $400?
Formula:
F = P (1 + i/n)^ t
P = 400
i = 2.5/100 = 0.025
n = 2
t = 1*2 = 2
=> F = 400 ( 1+ 0.025/2)^2 = 410.06
Then, the answer is the option C) $410.06.
