The probability is ___. Round to four decimal places as needed.)
b. Calculate the probability that more than 30 errors will be found.
The probability is ___. (Round to four decimal places as needed.)
c. Find the probability that fewer than 15 errors will be found.
The probability is ___. (Round to four decimal places as needed.)
The probability that noerrors will be found is 0.
The probability of finding more than 30 errors is 0.0001.
The probability of finding fewer than 15 errors is 0.9452.
It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The number of errors in a 3,000-word passage follows a Poisson distribution with a mean of 12 errors.
i.e
Since 3,000 is six times 500.
a)
The probability that no errors will be found.
P(X = 0) = x / 0!
= 0.000006
Rounded to four decimal places.
= 0.0000.
b)
The probability of finding more than 30 errors.
P(X > 30) = 1 - P(X ≤ 30)
We can use a Poisson table.
P(X ≤ 30) = 0.9999.
P(X > 30) = 1 - 0.9999
= 0.0001
Rounded to four decimal places.
= 0.0001.
c)
The probability of finding fewer than 15 errors.
P(X < 15) = P(X <= 14)
= ∑(k=0 to 14) x / k!
From the Poissontable.
P(X ≤ 14) = 0.9452
P(X < 15) = P(X ≤ 14)
= 0.9452
Rounded to four decimal places.
= 0.9452.
Thus,
The probability that no errors will be found is 0.
The probability of finding more than 30 errors is 0.0001.
The probability of finding fewer than 15 errors is 0.9452.
Learn more about probability here:
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Step-by-step explanation:
this is the answer of this question
0 0
3 1
6 2 Which equation describes the relationship expressed in the table? )) A) y = x C) y = ⅙x
B) y =3x D) y = ⅓x
Answer:
D
Step-by-step explanation:
if y=2 then x=6, 2x3=6 ...if you multiple y with 3..you will get the answer of x
in that equation above..it will get x=3y...but there is no answer for it..so, you can convert it to, y=1/3x
Answer:
the answer is D
hope this will help you ❤️
Step-by-step explanation:
you can search in yt (how to find the slope of linear function)
To find the height of the cone, we can use the formula for the lateral area of a cone and the Pythagorean theorem. The height of the cone is approximately 11.3 cm.
To find the height of the cone, we need to use the formula for the lateral area of a cone, which is given by:
Lateral Area = πrL
where r is the radius of the base and L is the slant height of the cone. Since the diameter of the cone is 10.2 cm, the radius is half of that, which is 5.1 cm. We can rearrange the formula and solve for L:
L = Lateral Area / (πr) = 198.6 cm² / (3.14 x 5.1 cm) ≈ 12.4 cm
Now that we have the slant height, we can use the Pythagorean theorem to find the height of the cone. The height (h) and the slant height (L) form a right triangle with the radius (r) as the hypotenuse. Applying the Pythagorean theorem:
h² + r² = L² = h² + (5.1 cm)² = (12.4 cm)²
From this equation, we can solve for h:
h² = (12.4 cm)² - (5.1 cm)²
After evaluating this equation, we find that h ≈ 11.3 cm, so the height of the cone is approximately 11.3 cm to the nearest tenth of a centimetre.
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C = 9f + 4p + 4c
gives the number of calories C in a serving of food that contains f grams of fat, p grams of protein, and c grams of carbohydrate.†
Find the number of grams of protein in an 8-ounce serving of vanilla yogurt that contains 179 calories, 3 g of fat, and 31 g of carbohydrate.
g
Answer:
7 grams of protein
Step-by-step explanation:
C = 9f + 4p + 4c
Plug the given information into the given formula
179 = 9(3) + 4p + 4(31)
Use PEMDAS
179 = 27 + 4p + 124
Combine like terms
179 = 151 + 4p
Subtract both sides by 151 to isolate variable p
179 - 151 = 4p
28 = 4p
Divide both sides by 4 to isolate variable p
28 ÷ 4 = p
7 = p
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y
e. P(A and B) = x/y
P(A)
If two events are independent, then
.
Use formulas for conditional probabilities:
.
For independent events these formulas will be:
.
Now in your case and .
This shows that the only correct choice is A.