Answer:
50% probability that the given range of pounds lost is between 8 pounds and 11 pounds.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between two values, c and d, in which d is greater than c, is given by the following formula:
[tex]P(c \leq X \leq d) = \frac{d-c}{b-a}[/tex]
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds
This means that [tex]a = 6, b = 12[/tex]
Find the probability that the given range of pounds lost is between 8 pounds and 11 pounds.
[tex]c = 8, d = 11[/tex]. So
[tex]P(8 \leq X \leq 11) = \frac{11-8}{12-6} = 0.5[/tex]
50% probability that the given range of pounds lost is between 8 pounds and 11 pounds.
