![dezmondpowell](/avatars/21653.jpg)
dezmondpowell
27.07.2020 •
Mathematics
Pick two cards at random from a well-shuffled deck of 52 cards (pick them simultaneously so they are not the same card). There are 12 cards considered face cards. There are 4 cards with the value 10. Let X be the number of face cards in your hand. Let Y be the number of 10's in your hand. Explain why X and Y are dependent.
Solved
Show answers
More tips
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Here is a list of numbers:4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6State the mediant...
- M Mathematics What is asked in the problem? The area of the plot...
- M Mathematics Solve for 3+4 |x/2 + 3| = -11...
- S Social Studies Jean was extremely happy after she finally passed the cpa exam and had landed a great job with a big accounting firm. as she was celebrating with family and friends, jean recalled...
- M Mathematics Charles and Wilma have different internet providers. Charles pays $0.25 per gigabyte of data. Wilma pays a flat fee of $20 and $0.05 per gigabyte. How many gigabytes of data must...
- H Health I have a dark joke: If I gave you a gun can I be your target?...
Ответ:
The variables X and Y are dependent.
Step-by-step explanation:
The variable X denotes number of face cards . That is it can take values,
X = {0, 1, 2 }
Compute the probability for all he values of X as follows:
P [X = 0] = P (None of the 12 card is chosen in either draw)
= (40/52)×(39/51)
= 1560/2652
= 0.5882
P [X = 1] = P (One of the card is face card is selected)
= 2×(40/52)×(12/51)
= 960/2652
= 0.3619
P [X = 2] = P (Two of the 12 card is chosen in the draw)
= (12/52)×(11/51)
= 132/2652
= 0.0498
The variable Y denotes number of cards numbered 10 . Thus, it can take values:
Y = {0, 1, 2 }
P [Y = 0] = P (None of the 4 card is chosen in either draw)
= (48/52)×(47/51)
= 2256/2652
= 0.8507
P [Y = 1] = P (One of the 4 card is chosen in either draw)
= 2×(4/52)×(48/51)
= 384/2652
= 0.1448
P [Y = 2] = P (Two of the 4 card is chosen in the draw)
= (4/52)×(3/51)
= 12/2652
= 0.0045
Now compute the probability of (X and Y).
P [X = 0 and Y = 0] = P(None of the 16 card is chosen in either draw)
= (36/52)×(35/51)
= 1260/2652
= 0.4751
The variables X and Y are independent if,
P [X = 0 and Y = 0] = P [X = 0] × P [Y = 0]
= P [X = 0] × P [Y = 0]
= 0.8507 × 0.5882
= 0.5204
The two values are not equal.
Hence, the variables X and Y are not independent.
Ответ:
e) this means that it has a slope of 0 and that the y-intercept would be at 70. This means that the daily cost would stay at $70 no matter how far the distance is.
Equation: y = 70
(I'm sorry if this is wrong, but if it's not I hope it helps!)
Step-by-step explanation:
e) a horizontal line passing through the point of intersection (which is (100,70)) means that it has a slope of 0 and that the y-intercept would be at 70. This means that the daily cost would stay at $70 no matter how far the distance is.
Equation: y = 70
(this is how we would write it since there is a slope of 0)