Evaluate the expression. 2^1/2^4

Occasionally an airline will lose a bag. Suppose a small airline has found it can reasonably model the number of bags lost each

julia-pushkina [17]

Answer:

a) The probability that the airline will lose no bags next monday is 0.1108

b) The probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227

c) I would recommend taking a Poisson model with mean 4.4 instead of a Poisson model with mean 2.2

Step-by-step explanation:

The probability mass function of X, for which we denote the amount of bags lost next monday is given by this formula

$P(X=k) = \frac{e^{-2.2} * {2.2}^k }{k!}$

a)

$P(X=0) = \frac{e^{-2.2} * {2.2}^0 }{0!} = 0.1108$

The probability that the airline will lose no bags next monday is 0.1108.

b) Note that $P(X \in \{0,1,2\} = P(X=0) + P(X=1) + P(X=2)$ . And

$P(X=0)+P(X=1)+P(X=2) = e^{-2.2} * (1 + 2.2 + 2.2^2/2) = 0.6227$

Therefore, the probability that the airline will lose 0,1, or 2 bags next Monday is 0.6227.

c) If the double of flights are taken, then you at least should expect to loose a similar proportion in bags, because you will have more chances for a bag to be lost. WIth this in mind, we can correctly think that the average amount of bags that will be lost each day will double. Thus, i would double the mean of the Poisson model, in other words, i would take a Poisson model with mean 4.4, instead of 2.2.

6 0

3 years ago

Plz help Events A and B are independent. Let event A be the event that a person chooses and buys a certain pear from the grocery

kompoz [17]

Hi all

Answer:

I had this question on my MAP testing just today, and I answered with

C. Choosing a certain book does not affect the choice of a pear,

D. Choosing a certain pear does not affect the choice of a book.

These are the answers I think are correct.

7 0

2 years ago

PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li

Sonja [21]

Answer:

$x=10$

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

$(8x+50)\°=130\°$ -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

$8x=130-50$

$8x=80$

Divide by 8 both sides

$x=80/8$

$x=10$

7 0

3 years ago

Let F(x,y)=1+sqrt(4-y^2). . (a) Evaluate F(3,1). (b) Find and sketch the domain of F. (c) Find the range of F

charle [14.2K]

The goal of this function is to get a positive value under the square root sign so that the value would not be invalid. Evaluating F(3,1), the value is 1 + sqrt(4-1^2) or equal to 1 + sqrt of 3. In this case, the domain would be x equal to any numbers and the range equal to numbers from -2 ≤ y ≤ 2.

6 0

3 years ago

Read 2 more answers

Need help solving this problem.

romanna [79]

Answer:

The measure of angle CDE is 37 degrees

Step-by-step explanation:

6 0

3 years ago