Respuesta :
Answer:
a) 0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $24,000.
b) 0.1429 = 14.29% probability that the low bid on the next intrastate shipping contract is in excess of $27,000.
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 lower than x or equal is given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
The probability that we find a value X greater than x is given by the following formula.
[tex]P(X > x) = 1 - \frac{x - a}{b-a}[/tex]
Uniformly distributed between 21 and 28
This means that [tex]a = 21, b = 28[/tex]
a. Find the probability that the low bid on the next intrastate shipping contract is below $24,000.
[tex]P(X \leq 24) = \frac{24 - 21}{28 - 21} = 0.4286[/tex]
0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $24,000.
b. Find the probability that the low bid on the next intrastate shipping contract is in excess of $27,000.
[tex]P(X > 27) = 1 - \frac{27 - 21}{28 - 21} = 0.1429[/tex]
0.1429 = 14.29% probability that the low bid on the next intrastate shipping contract is in excess of $27,000.
