Can someone please help mee.
1 answer:
Answer:
Step-by-step explanation:
<u>Graph of an inequality</u>
The graph represented in the image is a line and we have two clear points through which the line passes.
Those points are (0,1) and (5,0).
The equation of a line can have the slope-intercept form:
y=mx+b
Substituting the point (0,1):
1=0+b
b=1
Substituting the point (5,0):
0=m(5)+1
Solving for m:
The equation of the line is:
The origin belongs to the solution if we substitute (0,0) the inequality should stand:
0<1
Or:
0≤1
Since the line is dashed, the boundary line is not part of the solution
Thus the inequality is:
Option D.
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Answer:
Step-by-step explanation:
Answer:
(a) The probability of overbooking is 0.2135.
(b) The probability that the flight has empty seats is 0.4625.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of passengers showing up for the flight.
It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.
Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.
Number of reservations = 19
Regular customers = 14
Seats available = 17 - 14 = 3
Remaining reservations, n = 19 - 14 = 5
P (A remaining passenger will arrive), <em>p</em> = 0.52
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.
(1)
Compute the probability of overbooking as follows:
P (Overbooking occurs) = P(More than 3 shows up for the flight)
Thus, the probability of overbooking is 0.2135.
(2)
Compute the probability that the flight has empty seats as follows:
P (The flight has empty seats) = P (Less than 3 shows up for the flight)
Thus, the probability that the flight has empty seats is 0.4625.