Ask question

Ask question

All categories

3 years ago

15

vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in

our statistics text was 0.08 per page. The author knows that he is much more likely to make a typo on a page that has many mathematical symbols or formulas compared to pages that contain only plain text. He would like to know the probability that a randomly selected page that contains only text will contain no typos.

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = $e^{-0.08}$ = 0.923

Step-by-step explanation:

<u>Poisson distribution</u>:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

i) p is very small

ii) n is very large

ii) λ = np (say finite

The probability of 'r' successes = $\frac{e^{-\alpha }\alpha^r }{r!}$

Given the average number of typos ∝ = 0.08 per page.

probability that a randomly selected page that contains only text will contain no typos that is = $p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}$

After calculation P(x=0) = $e^{-0.08}$ = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923

You might be interested in

ou live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discus

Alenkinab [10]

Answer:

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.

then

tan 52 = A/x

tan 21 = B/x

A/B = tan 52 / tan 21

= 1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.

5 0

4 years ago

a salesperson earns $25 per day plus $2.50 for every sale. He normally earns $100 per day. How many sales does he normally get.

Dahasolnce [82]

He makes about 30 sales because he makes $100 typically but always makes a minimum of $25 making $75 worth of his sales. If you multiply 30 and $2.50 you get $75 in sales. His $25 minimum and $75 in sales make $100. So he makes 30 sales.

3 0

3 years ago

Solve x^2 − 4x = 14.

DENIUS [597]

Minus 14 from both sides
x²-4x-14=0
use quadratic formula because we cant factor

for
ax²+bx+c=0
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

so
1x²-4x-14=0
a=1
b=-4
c=-14

$x= \frac{-(-4)+/- \sqrt{(-4)^2-4(1)(-14)} }{2(1)}$
$x= \frac{4+/- \sqrt{16+56} }{2}$
$x= \frac{4+/- \sqrt{72} }{2}$
$x= \frac{4+/- 6\sqrt{2} }{2}$
$x= 2+/- 3\sqrt{2}$

the solutions are
x=2+√3 and
x=2-√3

3 0

3 years ago

How to find the perimeter of a semicircle

Elza [17]

Answer: $Formula: P=\frac{\pi d}{2}+d$

Step-by-step explanation:

$Formula: P=\frac{\pi d}{2}+d$

Where;

$P=perimeter\\\pi = pi (3.14)\\d= diameter\\$

5 0

3 years ago

A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a r

KIM [24]

The value of y that ensures the pool is a rectangle is 3. Option D

<h3>How to determine the value</h3>

The formula for perimeter of a rectangle is expressed as;

Perimeter = 2 ( length + width)

It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.

Given the sides as;

AC = 5y + 6
BD = 8y-3

5y + 6 = 8y -3

collect like terms

5y - 8y = -3 - 6

-3y = -9

Make 'y' the subject

y = 3

Thus, the value of y that ensures the pool is a rectangle is 3. Option D

Learn more about rectangles here:

brainly.com/question/25292087

#SPJ1

3 0

2 years ago