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ohaa [14]
3 years ago
14

In a certain Algebra 2 class of 22 students, 5 of them play basketball and 11 of them play baseball. There are 3 students who pl

ay both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

Answer:

basketball : 9/22

baseball : 9/12

Step-by-step explanation:

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The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:
klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event <em>E</em> is:

P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}=  2.5882\approx2.59

If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:

P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075

Compute the probability of <em>X</em> = 1 as follows:

\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943

Compute the probabilities for the rest of the values of <em>X</em> in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.

5 0
3 years ago
3. If y varies directly as x, and y is 12 when x is 16; find y when x is 36.
Serggg [28]

Answer:

C- 27

Step-by-step explanation:

Y varies directly as X

Y=kx

K is a constant

12=k16

K=12/16=3/4

Y=3/4x

Y=3/4 (36)

Y=27

3 0
3 years ago
Solve the equation for p<br> PV = nrt
PtichkaEL [24]

Answer:

P=nrt/v

Step-by-step explanation:

To solve for P:

PV=nrt

1.) Divide both sides by V

P/V=nrt/V

which is P=nrt/V

Answer: P=nrt/v

Hope this helps : )

8 0
3 years ago
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