Answer:
I believe that the answer is A
Step-by-step explanation:
Evidently the quesiton is incomplete.
It is logic that the actions are roll a die and draw a card.
The two events are indepent, so the combined probability is the sum of the individual probabiliites.
Probability = number of positive events / number of possible events
Probability of rolling an even number = number of faces with even numbers / total number of numbers.
Probability of rolling an even number = 3 / 6 = 1/2
Probability of drawing an ace = number of aces in the deck of cards / number of cards
Probability of drawing an ace = 4 / 52 = 1 / 13
Combined probability = 1/2 + 1/13 = (13 + 2) / 26 = 15 / 26
Answer: option D. 15 / 26
Answer:
The Correct option is Last one
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line is
Step-by-step explanation:
Given:
To Find:
Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3
Solution:
..........Given
Comparing with Slope-Intercept form,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line is
Answer:
The shape and rate parameters are and .
Step-by-step explanation:
Let <em>X</em> = service time for each individual.
The average service time is, <em>β</em> = 12 minutes.
The random variable follows an Exponential distribution with parameter, .
The service time for the next 3 customers is,
<em>Z</em> = <em>X</em>₁ + <em>X</em>₂ + <em>X</em>₃
All the <em>X</em>'s are independent Exponential random variable.
The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.
The random variable <em>Z</em> follows a Gamma distribution with parameters (<em>α</em>, <em>n</em>).
The parameters are:
Thus, the shape and rate parameters are and .