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neonofarm [45]
3 years ago
5

The expected number of typographical errors on any page of a certain magazine is 0.2. What is the probability that a certain pag

e you read contains a total of 2 or more typographical errors
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

The probability of 2 or more errors is 0.018.

Step-by-step explanation:

Let <em>X</em> = number of typographical errors on a page of a certain magazine.

The expected number of errors is, <em>λ</em> = 0.2.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 0.2.

The probability mass function of <em>X </em>is:

P(X=x)=\frac{e^{-0.2}0.2^{x}}{x!};\ x=0,1,2,3...

Compute the probability of 2 or more errors as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

=1-\frac{e^{-0.2}0.2^{0}}{0!}-\frac{e^{-0.2}0.2^{1}}{1!}\\=1-0.81873-0.16375\\=0.01752\\\approx0.018

Thus, the probability of 2 or more errors is 0.018.

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A pine tree is 64 feet 3 inches tall. How many inches tall is the pine tree?
Sindrei [870]

Answer:

3 inches you are right

Step-by-step explanation:

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3 years ago
Using the tree diagram what is the probability that a player will reach Level 2 with the bonus?
pentagon [3]
That is 0.3*0.3*0.3 = 0.027
6 0
3 years ago
The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol
Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

M = \frac{a+b}{2}

The standard deviation is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5

Standard deviation:

S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0
2 years ago
Complete the proofs using the most appropriate method. may require CPCTC.
n200080 [17]

For the first one, you did good. I will just suggest a couple things.

Statement              Reason

JK ≅ LM                   Given

<JKM ≅ < LMK        Given  (You did both of these steps so well done.)

MK ≅ MK              Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)

ΔJMK ≅ ΔLKM        SAS

Problem 2: (You also have a lot of great stuff here.)

Statement          Reason

DE ║ FG              Given

DE ≅ FG              Given

<DEF≅<FGH       Given

<EDF≅<GFH       Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)

ΔEDF≅ΔGFH        ASA

<DFE≅<FHG       CPCTC  

3 0
3 years ago
How did President George W. Bush respond to the terrorist attacks of September 11, 2001?
Fynjy0 [20]

you answer is C

so the united states invasion of afghanistan occurred after the September 11 attacks in late 2001, supported by close US allies. The conflict is also known as the US war in Afghanistan. the goal was to dismantle al-Qaeda and deny it a safe base of operations in Afghanistan by removing the Taliban from power.

:)

6 0
2 years ago
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