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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

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On a separate sheet of paper, graph the function. In the answer box, describe the function.
Mumz [18]

Answer:

Step-by-step explanation:

Given piecewise function is,

f(x) = -5x + 2 If x < 2

         2x - 2 If x ≥ 2

For f(x) = -5x + 2 If x < 2,

Graph of this piece will be a straight line with slope = -5 and y-intercept = 2

For f(x) = 2x - 2 If x ≥ 2,

Similarly, Graph of the second piece of the function will be a straight line with slope = 2 and y-intercept = -2.

By using the graphing tool we can draw the graph of the piecewise function given.

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What is the solution to th3 system of nolinear equations y=x^2 Y=-x+2​
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I need help with 19. 20.21<br> My answers were<br> 19.4/96<br> 20.4/42<br> 21.2/72<br> Am I right
pashok25 [27]
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Bruce overdrew his checking account by $19, for which his bank charged him a $35 overdraft fee. If he deposits $60, what will hi
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\large -6x+6y=6<br> \large 6x+3y=12
Kaylis [27]

Answer:

the solution of the system is:

x = 1 and y = 2.

Step-by-step explanation:

I suppose that we want to solve the equation:

-6*x + 6*y = 6

6*x + 3*y = 12

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate y in the first equation:

6*y = 6 + 6*x

y = (6 + 6*x)/6

y = 6/6 + (6*x)/6

y = 1 + x

Now we can replace this in the other equation:

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x = 9/9 = 1

Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.

y = 1 + (1)  = 2

Then the solution of the system is:

x = 1 and y = 2.

6 0
3 years ago
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