The probability distribution below is for the random variable XXthe number of credits taken by a randomly selected first-year student at a large state university
Credits 14
17
Probability 0.05 0.65
0.10
15
16
0.20
(a) Is X a discrete or a continuous random variable? Explain
(b) Show that the probability distribution of X is valid
(c) Make a histogram of the probability distribution. Describe its shape.
(d) Compute and interpret the expected value of X Show work,
(e) The standard deviation is 0.726. Interpret this value in the context of the problem.
(Express the event taking at least 16 credits in terms of X and find its probability

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.

x = -5

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)