1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikolay [14]
3 years ago
14

Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While tal

king to her on the phone, we'll thoroughly shuffle a standard deck of 52 cards (which is made up of 13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total 14 of cards and gotten her suit guesses for each.
Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card.
(a) Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

A) 3.5

B) 1.6202

Step-by-step explanation:

In binomial distribution,

E(X) = np and Var(X) = npq while

SD (X) = √(npq)

Where n is number of cards drawn

p is probability of getting one particular shape

q = 1-p

So from the question, n = 14

p = 13/52 = 1/4

q = 1-(1/4) = 3/4

So;

A) E(x) = np = 14 x 1/4 = 3.5

B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202

You might be interested in
Find the solution by graphing the equations pls help
lilavasa [31]

Answer:

graph these
y = 2x + 2
y = 2x - 3

Step-by-step explanation:

2x - y = -2
2x - y = 3

convert to y intercept form
first
2x - y = -2
-y = -2x - 2
y = 2x + 2
second
2x - y = 3
-y = -2x + 3
y = 2x - 3

you are left with
y = 2x + 2
y = 2x - 3
i cannot graph these for you, but i assume you know how, there is no solution because the lines are parallel

4 0
2 years ago
32. Which of the following is horizontal ellipse
maria [59]

Answer:

  • b. 16x² + 25y² = 1

Step-by-step explanation:

Only one of them has a < b in ax² + by² = c formula, making its graph horizontal

All the rest are vertical, see attached

6 0
3 years ago
9. Is the line through points P(7, 3) and Q(11, 0) perpendicular to the line through points R(6, –3) and S(3, 1)? Explain.A)Yes;
Alekssandra [29.7K]

Answer:

C) No, their slopes are not opposite reciprocals.

Step-by-step explanation:

First we find the slopes.

slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4

slope of RS = (-3 - 1)/(6 - 3) = -4/3

product of the slopes = (-3/4) * (-4/3) = 1

The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.

7 0
3 years ago
Which linear inequality is represented by the graph?
zheka24 [161]

Answer:

I am going to say x3

Step-by-step explanation:

3 0
3 years ago
38 is 8 percent, of what number?
adoni [48]

Answer:

475

Step-by-step explanation:

Is means equals.  We need to change 8% to a decimal.  8% = .08.  Of means multiply.  X is the unknown number.

38 = .08 * x

Divide each side by .08

38/.08 = .08x /.08

475 = x

The unknown number is 475

6 0
3 years ago
Read 2 more answers
Other questions:
  • Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
    11·2 answers
  • Can someone please answer question 3b and 4 please and provide an explanation.
    8·1 answer
  • Algebra help pls y'all &lt;3
    14·2 answers
  • How do you convert 3<br> yards to inches? Use the<br> drop-down menus to explain<br> your answer.
    9·2 answers
  • In a toy factory 200 wooden solid cylinder 7cm long and 35mm in diameter have to be painted. What is the total surface area in c
    13·1 answer
  • PLZ HELP!!!!!!! (20 points)
    9·1 answer
  • (pleas help) Which statement describes the following expression? 6 x (3,117 + 724)
    8·2 answers
  • Solve for
    14·1 answer
  • Hmmmmmmmmmmmmmmmmmmmmmmmmmmm
    5·1 answer
  • Kevin sold a house and receives a 6 1/2% commission he gave the listing broker 30% or 3,575 what was the price of the house
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!