Which parent function is represented by the table?

Inessa05 [86]

0 = 5x+3
-3 = 5x
X = -3/5

6 0

3 years ago

Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec

o-na [289]

Answer:

(a) The probability of the event (X > 84) is 0.007.

(b) The probability of the event (X < 64) is 0.483.

Step-by-step explanation:

The random variable X follows a Poisson distribution with parameter λ = 64.

The probability mass function of a Poisson distribution is:

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

(a)

Compute the probability of the event (X > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

$=1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007$

Thus, the probability of the event (X > 84) is 0.007.

(b)

Compute the probability of the event (X < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

$=\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483$

Thus, the probability of the event (X < 64) is 0.483.

5 0

3 years ago

A mixture of gases was found to have a total pressure of 950 mmhg gas number 1 has a pressure of 335 mmhg gas number 2 has a pre

frez [133]

Answer:

The pressure exerted by gas number 3 is 159 mmHg

Step-by-step explanation:

To answer this question, the law to Use is Dalton’s law of partial pressure

Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.

Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3

Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg

P3 = Pt-P1-P2

Plugging the values above, we have ; 950-335-456 = 159 mmHg

5 0

3 years ago

Write the equation of the line in slope-intercept form with the given point and the slope or two points.

solniwko [45]

Answer:

kcbmq vnmw v s DVMX

Step-by-step explanation:

YES IM AM NOT GOING

8 0

3 years ago

Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?

Elena-2011 [213]

Answer:

I believe it would just be 5/6.

Step-by-step explanation:

In a six-sided dice, there are five numbers less than 6!

6 0

3 years ago

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