Which situation would be represented by a discrete probability distribution?
a) the thickness of an item
b) the lifespan of a fruit fly
c) the temperature of a solution
d) number of complaints a company receives in a day

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?
a) $390.06
b) $420.25
c) $410.06
d) $420.50

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.