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PilotLPTM [1.2K]

3 years ago

15

A standard deck of cards is made up of four suits: diamonds, spades, hearts, and clubs. What is the probability that you draw a

diamond or spade from a standard deck of cards?
A)
1
8

B)
1
4

C)
1
2

D)
2
3

1 answer:

Oksi-84 [34.3K]3 years ago

3 0

Answer:

1/2, because there's 4 suits, and so the probability of choosing 2 is 1/2.

Step-by-step explanation:

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A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr

ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so $\pi = 0.30$

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so $n = 10$

We want to find P(X = 1). So:

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211$

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is $P(X > 1)$

We have that:

$P(X \leq 1) + P(X > 1) = 1$

$P(X > 1) = 1 - P(X \leq 1)$

We also have that:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282$

So

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493$

Finally

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507$

There is a 85.07% probability that more than 1 has the marker.

3 0

3 years ago

Simplify the algebraic expression 3x^2 + 8x - 6x^2 + 2x

OverLord2011 [107]

-3x^2 +10x
All you have to do is combine like terms!

8 0

3 years ago

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Ecuaciones lineales , El valor de x , x+7 = 2 necesito saber el reasultado de este ejercicio.

Ratling [72]

Answer:

x = -5

Step-by-step explanation:

x+7=2

-7 | -7 -7 from both sides

x= -5

3 0

3 years ago

Find X using the Pythagorean Theorem

Natalija [7]

Answer:

x = 4.47

Step-by-step explanation:

Formula for hypotenuse:

$x =\sqrt{a^2+b^2}$

$x=\sqrt{4^2+2^2}$

$x=\sqrt{16+4}$

$x=\sqrt{20}$

$x=4.47$

8 0

3 years ago

3 of 1/10 of what number

vampirchik [111]

Answer:

3/10

Step-by-step explanation: you multiply 3 and 1/10

8 0

4 years ago

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