If a seed is planted, it has a 75% chance of growing into a healthy plant.If 6 seeds are planted, what is the probability that exactly 1 doesn't grow?

Answers

Answer 1

Answer:

Final answer:

Using the binomial probability formula, the probability that exactly 1 out of 6 seeds doesn't grow is approximately 0.119 or 11.9%.

Explanation:

This question revolves around the concept of binomial probability. The binomial distribution model is an appropriate statistical model here since there are a fixed number of trials (6 seed plantings), each trial (seed planting) is independent, and each trial results in one of two outcomes: success (plant grows) or failure (plant doesn’t grow).

The binomial probability formula is P(X=k) = C(n, k)*(p^k)*(q^(n-k)), where 'n' is the number of trials (6 in this case), 'k' is the number of 'successes' we're interested in (5 in this case, since we want only 1 seed - out of 6 - not to grow), 'p' is the probability of success, and 'q' is the probability of failure.

Here, to calculate the probability, p (probability of successful growth) is 0.75 and q (probability of not growing) is 0.25 (= 1 - 0.75).

So, P(5 plants grow and 1 doesn’t) = C(6, 5) * (0.75^5) * (0.25^1) = 0.119.

So, the probability that exactly 1 out of 6 seeds does not grow is approximately 0.119 or 11.9%. This scenario is also known as binomial distribution scenario.

Learn more about Binomial Probability here:

brainly.com/question/33993983

#SPJ2

Answer 2

Answer:

Answer:

9.72405%

Step-by-step explanation:

Binomial Probability

(N choose k) p^k (1-p)^(n-k)

N=7 seeds planted

p= 100% - 70% = 30% = 0.3 <--- we are interested in the plant NOT growing

(1-p) = 70% = 0.7 <--- 70% chance the plant will survive and grow

k=4 <--- we want four of them to fail

The probability is:

(7 choose 4) * (0.3)^4 (0.7)^3 =

7!/(4!3!) (0.3)^4 (0.7)^3 =

(7*6*5/3*2) (0.3)^4 (0.7)^3 =

7*5 (0.3)^4 (0.7)^3 =

35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%

Related Questions

In three math tests, you have scored 91,95 and 88 points. You are about to take your next test. Suppose you want to have an average score of at least 90 points after all four tests. Explain a method you could use to find the score you must receive in order to average at least 90 points. The find the least score.
Help!! Please explain how you go it too please!!
Difference between 21 1/4 - 18 2/4
Add −8/15+4/15. A. 4/15 B. 4/5 C. −12/15 D. −4/15
which statement is true for the pair of fractions shown? A 4/6 is equal to 9/12. B 4/6 is less than 9/12 C 4/6 is greater than 10/12. D 4/6 is greater than 10/12

a class conduct a survey of 1000 students At one point 6% of the students forgot their locker combination, how many forgot their combination

Answers

You need to multiply 1000 by 0.06 (6% in decimal form) to get the answer. When you multiply you get 60 so the answer is 60 students forgot their locker combination.

Please answer the question on the attachment

Answers

Did you notice that this shape looks like a parallelogram stacked on top of a rectangle? That's because it is! All you have to do is add the area of the parallelogram to the area of the rectangle, and you've got the total area. So, the area of a parallelogram is base * height, as you see there. For the parallelogram on top, the base is 7 cm, and the height is 5 cm. 7 cm * 5 cm = 35 sq cm. For the rectangle, the base is 11 cm and the height is 5 cm. 11 cm * 5 cm = 55 sq cm. 35 sq cm + 55 sq cm = 90 sq cm. That's the total area!

Answer: 90 cm^2

(Note: sq stands for square. When dealing with area, the units are always squared, because cm * cm = cm squared. You might also see it as cm^2.)

Can someone please help me with these ?

Answers

Answer:

Step-by-step explanation:

11) $√(8x+33) =3\n8x+33=9\n8x=-24\nx=-3$

Subtract 4 from both sides. Square each side. Subtract 33 from both sides. Divide each side by 8. Your answer is -3.

12) $7x-17=x^2-2x+1\n0=x^2-9x+18\n0=(x-6)(x-3)\nx=6, x=3$

Square both sides. Put all numbers on one side of the equation so that you can be equal to zero. Factor out and solve for x.

write a point-slope equation for the line that passes through the point (1,6) and is parallel to the line given by y=5x+25 do not use parenthesis on the y side

Answers

Answer:

$y-6=5(x-1)$

Step-by-step explanation:

To make the line parallel, it has to have the same slope as the other. Because it is in slope-intercept form, we can see that the slope of the line is 5.

Now we have all of the numbers we need for point-slope form. The point-slope form looks like this:

$y-y_(1)=m(x-x_(1))$