Kevin weighed 200 pounds when he started his diet and lost 26 pounds. What percent of his original weight did Kevin lose?

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

The sales tax rate is 6%, and the price of a movie ticket is x dollars. Choose two expressions for the cost of the ticket, inclu

trapecia [35]

Answer:

A 1.06x

D x+0.06x

Step-by-step explanation:

we know that

The price of a movie ticket is x dollars

This amount without including the tax represent the 100%

Remember that

$100\%+6\%=106\%=106/100=1.06$

so

The cost of the ticket, including the tax is equal to the price x multiplied by 1.06

$1.06x$

An equivalent expression is equal to

$1.06x=x+0.06x$

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Need help asap plz geometry

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Answer:

answer is down

Step-by-step explanation:

4) S and Z

5) A line that goes vertical and then goes to the right

see this:

---------------

/

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The parallelogram shown below has an area of 60 units^2

Nuetrik [128]

Answer:

6 or 9 unit is the missing base

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Which is the graph of f(x)=(2)-x

tino4ka555 [31]

Graph using the slope and y-intercept

Slope: —1

Y-intercept:2

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