Answer :
Answer:
28.57% probability that the speed of a car is between 17 and 23 mph
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 c and d is given by the following formula:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
14 to 35 mph and is uniformly distributed.
This means that [tex]a = 14, b = 35[/tex]
What is the probability that the speed of a car is between 17 and 23 mph?
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
[tex]P(17 \leq X \leq 23) = \frac{23 - 17}{35 - 14} = 0.2857[/tex]
28.57% probability that the speed of a car is between 17 and 23 mph