Mathematics

Question

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

1 Answer

  • 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.

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