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3.- In a certain desert region the average number of persons who become seriously ill each year from eating a certain poisonous

Naily [24]

Answer:

$P(X\geq 5)=1-P(X$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-6.4} 6.4^0}{0!}=0.001662$

$P(X=1)=\frac{e^{-6.4} 6.4^1}{1!}=0.010634$

$P(X=2)=\frac{e^{-6.4} 6.4^2}{2!}=0.034029$

$P(X=3)=\frac{e^{-6.4} 6.4^3}{3!}=0.072595$

$P(X=4)=\frac{e^{-6.4} 6.4^4}{4!}=0.116151$

And replacing we got:

$P(X \geq 5) =0.76493$

Step-by-step explanation:

Previous concepts

Let X the random variable that represent the number of people that will become sereiosly ill in two years. We know that $X \sim Poisson(\lambda)$

The probability mass function for the random variable is given by:

$f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this case the value for $\lambda$ would be:

$\lambda = 3.2 \frac{ills}{year} *2 years = 6.4$

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda$

On this case we are interested on the probability of having at least two chocolate chips, and using the complement rule we have this:

$P(X\geq 5)=1-P(X$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-6.4} 6.4^0}{0!}=0.001662$

$P(X=1)=\frac{e^{-6.4} 6.4^1}{1!}=0.010634$

$P(X=2)=\frac{e^{-6.4} 6.4^2}{2!}=0.034029$

$P(X=3)=\frac{e^{-6.4} 6.4^3}{3!}=0.072595$

$P(X=4)=\frac{e^{-6.4} 6.4^4}{4!}=0.116151$

And replacing we got:

$P(X \geq 5) =0.76493$

7 0

3 years ago

Read 2 more answers

Find the value of x that makes FGH~JKL

Mrrafil [7]

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

${:}\dashrightarrow$ $\sf x-4=20$

interchange both sides

${:}\dashrightarrow$ $\sf x=20+4$

${:}\dashrightarrow$ $\sf x=24$

3 0

3 years ago

Read 2 more answers

What is the quotient and remainder of 3 divided by 14

Whitepunk [10]

Q= 0 and R=14
I think you did it backwards lol but issok i answered

5 0

3 years ago

Read 2 more answers

Is this figure defined by points E, F, G, and H a rectangle? Justify your answer.

Stels [109]

Answer: Second option.

Step-by-step explanation:

By definition, a Quadrilateral is a flat shape that has four straight sides.

A Rectangle is a Quadrilateral and has the following properties:

1. Its Opposite sides have the same length.

2. All its angles have equal measure (They are congruent).

3. Each one of those angles measure 90 degrees (An angle with this measure is also known as "Right angle").

4. Its opposite sides are parallel.

5. Its opposite sides have equal lenght.

In this case you can observe that the figure defined by the points E, F, G, and H has four sides, four right angles and its opposite sides are parallel and have equal length.

Therefore, based on the above, you can conclude that it is a Rectangle.

8 0

3 years ago

Yana though of a number she multlipied it by 8 subtracted 4 divided the result by 2 what number did yana think of

Anastasy [175]

Complete Question

Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of

Answer:

$x=8$

Step-by-step explanation:

From the question we are told that:

Thought of Number x

Multiplied it by 8

$x*8=8x$

Subtracted 4

$8x-4$

Divided the result by 2

$\frac{8x-4}{2}$

Generally the equation for x is mathematically given by

$\frac{8x-4}{2}=30$

$8x-4=60$

$8x=60+4$

$x=8$

3 0

2 years ago