Suppose that a box of DVDs contains 10 action movies and 5 comedies. a. If two DVDs are selected from the box with replacement, determine the probability that both are comedies. b. It probably seems more reasonable that someone would select two different DVDs from the box. That is, the first DVD would not be replaced before the second DVD is selected. In such a case, are the events of selecting comedies on the first and second picks independent events? c. If two DVDs are selected from the box without replacement, determine the probability that both are comedies.
Suppose that a box of DVDs contains 10 action movies and 5 comedies. a. If two DVDs are selected from the box with replacement, determine the probability that both are comedies. b. It probably seems more reasonable that someone would select two different DVDs from the box. That is, the first DVD would not be replaced before the second DVD is selected. In such a case, are the events of selecting comedies on the first and second picks independent events? c. If two DVDs are selected from the box without replacement, determine the probability that both are comedies.
Solution Summary: The author calculates the probability that both DVDs are comedies, if two movies are selected from a box with replacement.
Suppose that a box of
DVDs
contains
10
action movies and
5
comedies.
a. If two
DVDs
are selected from the box with replacement, determine the probability that both are comedies.
b. It probably seems more reasonable that someone would select two different
DVDs
from the box. That is, the first
DVD
would not be replaced before the second
DVD
is selected. In such a case, are the events of selecting comedies on the first and second picks independent events?
c. If two
DVDs
are selected from the box without replacement, determine the probability that both are comedies.
DO NOT GIVE THE WRONG ANSWER
SHOW ME ALL THE NEEDED STEPS
11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
please answer by showing all the dfalowing necessary step
DO NOT GIVE ME THE WRONG ANSWER
The sides of a cube of ice are melting at a rate of 1 inch per hour. When its volume is 64 cubic inches, at what rate is its volume changing?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License